The length of the altitude of the equilateral triangle with side lengths of 28 meters is 14[tex]\sqrt{3}[/tex] meters.
Define equilateral.
Equilateral is an adjective used to describe a geometric figure, such as a triangle, that has all sides of equal length. In an equilateral triangle, all three sides are of equal length, and all three angles are also equal, measuring 60 degrees each.
To find the altitude of an equilateral triangle, we can use the following formula:
altitude = ([tex]\sqrt{3}[/tex]/2) x side length
Since the side length of the equilateral triangle is 28 meters, we can substitute it in the formula and simplify:
altitude = ([tex]\sqrt{3}[/tex]/2) x 28
= 14[tex]\sqrt{3}[/tex] meters (rounded to two decimal places)
Therefore, the length of the altitude of the equilateral triangle is approximately 14.00 meters.
To learn more about equilateral click here
https://brainly.com/question/17264112
#SPJ1
Stacy rented a truck for one day there was a base fee of $16.95 and there was an additional charge of 93 cents for each model driven. stacy had to pay $143.43 when he returned the truck. for how many miles did she drive the truck
Answer:
Stacy rented a truck for one day there was a base fee of $16.95 and there was an additional charge of 93 cents for each model driven. stacy had to pay $143.43 when he returned the truck. for how many miles did she drive the truck
Step-by-step explanation:
Let's start by subtracting the base fee from the total cost:
$143.43 - $16.95 = $126.48
Now, we can divide the remaining cost by the cost per mile:
$126.48 ÷ $0.93/mile ≈ 136 miles
Therefore, Stacy drove the truck for approximately 136 miles.
A classroom is rectangular in shape. If listed as ordered pairs, the corners of the classroom are (−12, 15), (−12, −9), (9, 15), and (9, −9). What is the perimeter of the classroom in feet?
By answering the presented question, we may conclude that Therefore, the perimeter of the classroom is 96√2 + 42 feet (approx. 155.27 feet).
What is rectangle?In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a hexagon that is fundamental rule, or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.
The perimeter-
d = √[(x2 - x1)² + (y2 - y1)²]
So, the perimeter of the classroom is:
d1 = √[(-12 - (-12))² + (15 - (-9))²] = √(24² + 24²) = √(2² × 24²) = 48√2
d2 = √[(-12 - 9)² + (15 - 15)²] = √(21²) = 21
d3 = √[(9 - 9)² + (15 - (-9))²] = √(24² + 24²) = √(2² × 24²) = 48√2
d4 = √[(9 - (-12))² + (-9 - 15)²] = √(21²) = 21
perimeter = d1 + d2 + d3 + d4
= 48√2 + 21 + 48√2 + 21
= 96√2 + 42
Therefore, the perimeter of the classroom is 96√2 + 42 feet (approx. 155.27 feet).
To know more about rectangle visit:
https://brainly.com/question/29123947
#SPJ1
machines at a factory produce circular washers with a specified diameter. the quality control manager at the factory periodically tests a random sample of washers to be sure that greater than 90 percent of the washers are produced with the specified diameter. the null hypothesis of the test is that the proportion of all washers produced with the specified diameter is equal to 90 percent. the alternative hypothesis is that the proportion of all washers produced with the specified diameter is greater than 90 percent. which of the following describes a type i error that could result from the test? responses the test does not provide convincing evidence that the proportion is greater than 90%, but the actual proportion is greater than 90%. the test does not provide convincing evidence that the proportion is greater than 90%, but the actual proportion is greater than 90%. the test does not provide convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%. the test does not provide convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%. the test provides convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%. the test provides convincing evidence that the proportion is greater than 90%, but the actual proportion is equal to 90%. the test provides convincing evidence that the proportion is greater than 90%, but the actual proportion is greater than 90%. the test provides convincing evidence that the proportion is greater than 90%, but the actual proportion is greater than 90%. a type i error is not possible for this hypothesis test.
Answer:
the test does not provide convincing evidence that the proportion is greater than 90%
A sandwich shop owner observed the first 100 sandwich orders of the day. The data that the owner obtained is given in the table.
Type of Sandwich Number of Customers
Vegetarian 30
Turkey 20
Ham 35
Chicken 15
Which of the following circle graphs correctly represents the data in the table?
a circle graph with four sections, labeled turkey 30 percent, ham 20 percent, chicken 35 percent, and vegetarian 15 percent
a circle graph with four sections, labeled vegetarian 30 percent, turkey 20 percent, ham 35 percent, and chicken 15 percent
a circle graph with four sections, labeled chicken 30 percent, vegetarian 20 percent, turkey 35 percent, and ham 15 percent
a circle graph with four sections, labeled ham 30 percent, chicken 20 percent, vegetarian 35 percent, and turkey 15 percent
Question 6(Multiple Choice Worth 2 points)
The circle graphs which correctly represents the data in the table is "a circle graph with four sections, labeled vegetarian 30 percent, turkey 20 percent, ham 35 percent, and chicken 15 percent"
The correct answer choice is option B.
Which of the following circle graphs correctly represents the data in the table?Type of Sandwich Number of Customers
Vegetarian 30
Turkey 20
Ham 35
Chicken 15
Total number of customers = 30 + 20 + 35 + 15
= 100
Percentage of each sandwich:
Vegetarian = 30/100 × 100
= 30%
Turkey = 20/100 × 100
= 20%
Ham = 35/100 × 100
= 35%
Chicken = 15/100 × 100
= 15%
Therefore, a circle graph with four sections, labeled vegetarian 30 percent, turkey 20 percent, ham 35 percent, and chicken 15 percent represents the table.
Read more on pie chart:
https://brainly.com/question/26851221
#SPJ1
The graph shows the velocity, v metres per second, of a car at time t seconds. Work out an estimate for the distance the car travelled for the first 8 seconds. Use 4 strips of equal width. -1-500- -1000- -500 0 V t
please help!!!
To estimate the distance traveled we need to find the area under the velocity-time graph from 0 to 8 seconds So,The estimate for the distance the car traveled for the first 8 seconds is 4000 meters.
Define velocity-time graph?A velocity-time graph is a graphical representation that shows the velocity of an object on the y-axis and time on the x-axis. It is used to depict the change in velocity over time and can provide information about the acceleration or deceleration of an object.
The height of each strip can be estimated by taking the average of the velocities at the beginning and end of the strip.
Using the trapezium rule, the estimated area of each strip is:
Strip 1: 0.5 x (0 + 2) x (0 + (-500)) = -500 m/s
Strip 2: 0.5 x (2 + 4) x (-500 + (-1000)) = -1500 m/s
Strip 3: 0.5 x (4 + 6) x (-1000 + (-500)) = -1500 m/s
Strip 4: 0.5 x (6 + 8) x (-500 + 0) = -500 m/s
The total estimated area is the sum of the areas of the 4 strips:
Total estimated area = -500 + (-1500) + (-1500) + (-500) = -4000 m/s
Since the area represents the distance traveled by the car, we can take the absolute value of the area to get the estimated distance traveled:
Estimated distance traveled is = |-4000| = 4000 meters
To know more about areas visit:
https://brainly.com/question/18066837
#SPJ1
You are dealt five cards from a standard deck of 52 playing cards (A full house consists of three of one kind and two of another. For example, A A A 5-5 and K-K-K 10-10 are full houses) (a) in how many ways can you get a full house? ______ Ways (b) in how many ways can you get a five card combination containing two jacks and three aces ___ ways
The 32 ways to get a five-card combination containing two jacks and three aces.
(a) A full house consists of three of one kind and two of another kind. Therefore, there are 13 different choices for the rank of the triplet and 4 cards of the same rank. Once the triplet has been chosen, there are 12 choices for the rank of the pair and 4 cards of the same rank. Therefore, the number of ways to get a full house is as follows:$${13}{\times}{4}{\times}{12}{\times}{4}={7488}$$Therefore, there are 7488 ways to get a full house.(b) In this case, the two jacks and three aces must be chosen out of the 4 jacks and 4 aces in the deck. Therefore, the number of ways to get a five-card combination with two jacks and three aces is as follows:$$\frac{{4\choose2}{4\choose3}{44\choose0}}{5!}={32}$$Therefore, there are 32 ways to get a five-card combination containing two jacks and three aces.
Learn more about Combination
brainly.com/question/27014146
#SPJ11
10) When Perry Person got a paycheck, Perry went shopping. He spent $26 on a shirt and twice as much on jeans. Then he spent half of what he had left on a snack. On his way home, he found $10 and ended up with $ 24. How much was Perry's paycheck ?
Perry's paycheck was $100. To find Perry's paycheck, we can work backward from the final amount he had after finding $10 and ending up with $24.
Let's denote Perry's paycheck as "x". After buying the shirt and jeans, he spent a total of $26 + $52 = $78. So he had "x" - $78 left. He then spent half of what he had left on a snack, leaving him with 1/2 * ("x" - $78) = 1/2*x - $39.
When he found $10, he ended up with $24, so we can set up the equation:
1/2*x - $39 + $10 = $24
Simplifying this equation gives us:
1/2*x = $53
Multiplying both sides by 2, we get:
x = $106
Therefore, Perry's paycheck was $100.
In summary, we used a series of calculations to work backward from the final amount Perry had to determine his original paycheck. We accounted for the amount he spent on a shirt, jeans, and a snack, as well as the amount he found on his way home.
Learn more about Simple Calculations:
https://brainly.com/question/14550245
#SPJ4
Which angles would the Alternate Exterior Angles Theorem state are congruent?
Which angles would the Alternate Exterior Angles Theorem state are congruent?
Answer:
Choice 2
∠1 and ∠7, ∠2 and ∠8
Step-by-step explanation:
This is a good example of a problem that can be solved by POE(process of elimination)
First choice: ∠2 and ∠3 are on the same straight line so they cannot be congruent. They are supplementary in that they add up to 180°
The same applies for ∠3 and ∠4 (third choice)
The same applies for ∠1 and ∠4 (fourth choice)
That leaves choice 2
We can prove ∠1 ≅ ∠7 as follows:
∠1 ≅ ∠3 since they are vertically opposite angles
∠3 ≅ ∠7 since they are exterior angles
So ∠1 ≅ ∠7
By similar reasoning,
∠2 ≅ ∠8
So correct choice is Choice 2
Find the area of the figure. Use 3.14 for . 8 in 9 in OA. 97.2 in² OB. 86.24 in² O C. 61.12 in² O D. 122.24 in²
The area of the figure is option (C) 61.12 in².
What is the Area of a TriangIe?The area of a triangIe is the region encIosed within the sides of the triangIe. The area of a triangIe varies from one triangIe to another depending on the Iength of the sides and the internaI angIes. The area of a triangIe is expressed in square units, Iike, m2, cm2, in2, and so on.
What is the Area of CircIe?The area of a circIe is the amount of space encIosed within the boundary of a circIe. The region within the boundary of the circIe is the area occupied by the circIe. It may aIso be referred to as the totaI number of square units inside that circIe. Area of CircIe = πr2 or πd2/4 in square units, where
(Pi) π = 22/7 or 3.14.
r = radius of the circIe
d = diameter of the circIe
Pi (π) is the ratio of circumference to diameter of any circIe. It is a speciaI mathematicaI constant.
Area of triangIe = ½ x B x H
Given Height = 8 in
Given Breath = 9 in
Area of TriangIe = ½ x 8 x 9 = 36 in²
Area of haIf circIe = ½ (pi x r²)
= ½ (3.14 x 16)
= (½ x 50.24) in²
= 25.12 in²
Area of the figure wiII be 36 in² + 25.12 in² = 61.12 in²
Option C wiII be the correct option.
To know more about circle
https://brainly.com/question/15424530
#SPJ1
The area of the figure will be 36 in² + 25.12 in² = 61.12 in². Option C will be the correct option.
What is the Area of CircIe?
The area of a circIe is the amount of space enclosed within the boundary of a circIe. The region within the boundary of the circIe is the area occupied by the circIe. It may aIso be referred to as the total number of square units inside that circle.
Area of CircIe = πr2 or πd2/4 in square units, where
(Pi) π = 22/7 or 3.14.
r = radius of the circIe
d = diameter of the circIe
Pi (π) is the ratio of circumference to diameter of any circIe. It is a speciaI mathematicaI constant.
Area of triangle = ½ x B x H
Given Height = 8 in
Given Breath = 9 in
Area of TriangIe = ½ x 8 x 9 = 36 in²
Area of haIf circIe = ½ (pi x r²)
= ½ (3.14 x 16)
= (½ x 50.24) in²
= 25.12 in²
Therefore, Area of the figure will be 36 in² + 25.12 in² = 61.12 in²
To know more about circle from the given link:
brainly.com/question/15424530
#SPJ1
The cost price of a book is Rs 20 . It is sold at 10% profit. Find its sale price
Answer:
Cost price (CP) = Rs20
% Profit = 10%
Selling price (SP) = y
By formula:
% Profit = (Profit/CP) x 100%
But Profit= SP - CP
Therefore;
% Profit = [(SP-CP)/C.P)] x 100%
Substituting, we have:
10% = [(y-20)/20] x 100%
10/100 = (y-20)/20
1/10 = (y-20)/20
1 = (y-20)/2
Cross multiply
y - 20 = 2
y = 2 + 20
y = 22
Therefore, the Sale price is Rs 22
Round the answer to the nearest hundredth
Using trigonometric functions, the value of the side AC = 2.85 units.
What are trigonometric functions?The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, and the output is a range of numbers.
The angle, given in degrees or radians, is the domain of the trigonometric function, sometimes referred to as the "trig function," of f(x) = sin, and the range is [-1, 1]. The other functions have a similar domain and scope. Trigonometric functions are widely used in algebra, geometry, and calculus.
Now in the given figure,
The angle is a right-angled triangle.
Now as per the trigonometric functions,
Sin 35° = AC/AB
⇒ 0.57 = x/5
⇒ x = 0.57 × 5
= 2.85.
The length of the opposite side AC is 2.85 units.
To know more about trigonometric functions, visit:
https://brainly.com/question/14746686
#SPJ1
After randomly selecting 1,009 adults and surveying each of them, 545 of them indicated that they were not comfortable with a drone delivering packages to them. The pollster concluded from the data that precisely 54 percent of all American adults are therefore not comfortable having drones make deliveries to them.
Determine whether the pollster’s conclusion makes sense. Address whether the pollster is correct in drawing this conclusion based upon the given information. In preparing your answer, include the following terms:
statistics and parameters,
estimation,
margin of error,
and any other concepts from the assigned readings and/or class sessions you deem helpful and appropriate.
Based on the information, the pollster's conclusion makes sense.
How do you know if the pollster is right with his conclusion?To know if the pollster is right with his conclusion we must perform the following operation.
1,009 / 100 = 10.0910.09 * 54 = 544.86In accordance with the above, we can infer that the pollster concludes that 54% of the people surveyed are equivalent to 545 people correctly because 0.86 is a minimum margin of error for this type of statistics. In addition, it can be inferred that the pollster correctly uses the statistics and study parameters of a sample to establish a correct conclusion.
Learn more about statistics in: https://brainly.com/question/30218856
#SPJ1
Solve the inequalities 1/3x-1/4(x+2)>3x-4/3
Answer: x < -46/17
Step-by-step explanation:
To solve the inequality:
1/3x - 1/4(x + 2) > 3x - 4/3
First, we simplify the left-hand side by finding a common denominator:
4(1/3x) - 3/4(x + 2) > 3x - 4/3
4/3x - 3/4x - 9/2 > 3x - 4/3
Next, we simplify the equation:
7/12x - 9/2 > 3x - 4/3
To isolate the variable x on one side of the inequality, we will move all the x terms to the left-hand side and all the constants to the right-hand side:
7/12x - 3x > 9/2 - 4/3
-17/12x > 23/6
Finally, we can solve for x by dividing both sides by -17/12, remembering to reverse the inequality because we are dividing by a negative number:
x < (23/6) ÷ (-17/12)
x < -46/17
Therefore, the solution to the inequality is:
x < -46/17
A restaurant owner is buying new tableware for her restaurant. She wants the new pieces to be proportionate, and needs to know the measurements of the different pieces she is buying. The circle-shaped part of the bottom of the glass above has an area of 12.56 in2. What is the radius? Use = 3.14. A. 4 in B. 5 in C. 1 in D. 2 in Reset Submit
The answer is d please
At the 2022 Winter Olympics, one country won a total of 150 medals. A circle graph of the medals is shown.
a circle graph titled 2022 Winter Olympic Medals, with three sections labeled gold 20 percent, silver 30 percent, and bronze 50 percent
How many silver and bronze medals were won?
40
80
100
120
The country won 45 silver medals and 75 bronze medals, for a total of 45 + 75 = 120 non-gold medals.
What is Medal?A medal is a small, flat, and usually round piece of metal that is awarded to individuals or groups as a symbol of recognition or honor for achievement, bravery, or other notable deeds. Medals can be made of various materials, such as gold, silver, bronze, or other alloys, and they often feature intricate designs or engravings that reflect the significance of the award.
According to question:According to the circle graph, gold medals make up 20% of the total medals, which means the country won 20% of 150 medals as gold, or 0.2 x 150 = 30 gold medals.
Similarly, silver medals make up 30% of the total medals, which means the country won 30% of 150 medals as silver, or 0.3 x 150 = 45 silver medals.
Finally, bronze medals make up 50% of the total medals, which means the country won 50% of 150 medals as bronze, or 0.5 x 150 = 75 bronze medals.
Therefore, the country won 45 silver medals and 75 bronze medals, for a total of 45 + 75 = 120 non-gold medals.
So the answer is 120.
To know more about medals visit:
https://brainly.com/question/29023646
#SPJ1
Nicolas drinks to third liter of water in the morning and 1/2 liter of water at lunch during basketball practice he drinks another 2/3 liter of water. What is the total amount of water in liters that Nicolas drinks?
Nicolas drinks 3/2 liters of water in total - 1/3 liters of water in the morning, 1/2 liter of water at lunch, and 2/3 liter of water during basketball practice.
Nicolas drinks to third liter of water in the morning, which is 1/3 liters of water. At lunchtime, he drinks 1/2 litre of water. During basketball practice, he drinks another 2/3 liter of water.
To find the total amount of water that Nicolas drinks, we need to add these quantities together:
Total amount of water = 1/3 + 1/2 + 2/3
To add these fractions, we need to find a common denominator, which is 6 in this case. We can convert each fraction to have a denominator of 6 as follows:
1/3 = 2/6
1/2 = 3/6
2/3 = 4/6
Now we can add the fractions with the same denominator:
Total amount of water = 2/6 + 3/6 + 4/6
Total amount of water = 9/6
We can simplify this fraction by dividing both the numerator and denominator by 3:
Total amount of water = 3/2
Therefore, Nicolas drinks 3/2 litres of water in total.
To know more about amount of water:
https://brainly.com/question/29266584
#SPJ4
cala used 4 2/3 cups of watermelon and 2 1/6 cups of cherries to make a fruit bowl how many cups of watermelon and cherries were used in all
Answer:
6 5/6 cups
Step-by-step explanation:
Add.
4 2/3 = 4 4/6
4 4/6 + 2 1/6 gives 6 5/6 cups were used in all.
Hope this helps!
PLEASE HELP WILL GIVE BRAINLIEST.
Given f(x)=sin x and g(x)=cos x show that f(g(pi/2))=0. Show all your steps.
Answer:
Step-by-step explanation:
xs nxqxm,nswjnej,cebxhjme2ckjwadbcweckslnvc
First, we need to find the value of g(pi/2):
g(pi/2) = cos(pi/2) = 0
Now we can substitute this value into f(x):
f(g(pi/2)) = f(0) = sin(0) = 0
Therefore, f(g(pi/2)) = 0.
I NEED HELPP PLEASEEEEEEEE
The slope between the points (-3, 0) and (0, -1) is -1/3.
What is slope?The slope of a line serves as a gauge for its steepness. It may be calculated by dividing the difference in y-coordinate by the difference in x-coordinate between any two points on a line. A line's slope might be zero, positive, negative, or undefinable. A line with a positive slope is moving upward from left to right, a negative slope is moving downward from left to right, and a line with a zero slope is level. The line is vertical if the slope is undefinable.
Let us consider the first two points (-3, 0) and (0, -1).
The slope of the line is given as:
m = (y2 - y1) / (x2 - x1)
Substituting the values we have:
m = (-1 - 0) / (0 - (-3)) = -1/3
Hence, the slope between the points (-3, 0) and (0, -1) is -1/3.
Learn more about slope of line here:
https://brainly.com/question/11559942
#SPJ1
20x50x30x50 = ?
Please answer someone!!
Answer: 1500000
Step-by-step explanation:
use a calculator
Answer:
1,500,000
Step-by-step explanation:
Breaking it up into an easier problem:
20x50 = 1,000
30x50=1,500
1,000 x 1,500, aka "adding three zeros" to the end of 1,500, as 1,000 is simply 1 x 10 x 10 x 10, and each 10 has one 0 to it.
Thus, the answer is 1,500,000
Select the reason why these triangles are
similar. If they are not, select "Not similar."
A. SAS
C. Not similar
B. AA
D. SSS
109⁰
41°
30⁰
30°
The triangles are similar by the AA similarity criterion since they have two pairs of congruent angles (41° and 109°, and 30°). Therefore, the answer is B. AA.
What is triangle?A triangle is a polygon that has three sides, three vertices, and three angles. It is the simplest polygon in Euclidean geometry and one of the most studied shapes in mathematics. The sum of the three angles in a triangle is always 180 degrees, and the length of one side of a triangle is always less than the sum of the other two sides. There are many different types of triangles, including equilateral triangles (where all sides are equal), isosceles triangles (where two sides are equal), and scalene triangles (where no sides are equal). Triangles are used in many areas of mathematics and science, including trigonometry, geometry, and physics.
Here,
To determine whether the two triangles are similar using AA similarity, we need to compare the angles of both triangles.
Triangle 1 has angles 41°, 30°, and 109°.
Triangle 2 has angles 30°, 41°, and 109°.
We see that the two triangles have two pairs of congruent angles, namely 41° and 41°, and 109° and 109°. Therefore, the two triangles are similar by the AA similarity criterion.
Note that the order of the angles does not matter when comparing triangles for similarity.
To know more about triangle,
https://brainly.com/question/13194650
#SPJ1
Write down the smallest possible answer.
Answer:
3
Step-by-step explanation:
We have to find the smallest possible factor of 15 and multiple of 3.
The smallest factor of any positive integer is 1.
The smallest multiple of any positive integer is the integer itself. So the smallest multiple of 3 would be 3 itself.
[tex]1 * 3 = 3[/tex]
And 3 is the answer.
Sippy brought home 2 tortoise as pets. She collected money to build a comfortable home for them. She had a total of Rs. 8200 in the form of Rs. 100, Rs. 500 and Rs. 2000 currency notes.
Rs. 500 notes were half of Rs. 100 notes. Rs. 2000 were one-third of Rs. 500 notes.
i) Write and solve the linear equation to find the number of notes of each denominations.
ii) Calculate the value of money obtained from Rs. 100 notes.
I need help with these 2 please
Question 7. C (rectangular pyramid)
Question 8. 17 cm
Answer:
Question 7:C rectangular pyramid
Question 8: C 120 in
A=2(wl+hl+hw)=2·(10·2+5·2+5·10)=160
Step-by-step explanation:
Use spherical coordinates to find the volume of the region outside the cone phi = pi /4 and inside the sphere rho = 4 cos phi. The volume is ____ . (Type an exact answer, using pi as needed.)
The volume is 63.717 cubic units
The limits of integration for rho are 0 and 4 cos phi, since the sphere has radius 4 cos phi. The limits for phi are π/4 and π/2, since we want to consider the region outside the cone but inside the sphere, and phi is the angle between the positive z-axis and the position vector of a point. Finally, the limits for theta are 0 and 2π, since theta is the azimuthal angle and we want to integrate over the entire azimuthal angle.
Thus, the volume of the region is given by:
V = 8 x ∫(0 to 2π) ∫(π/4 to π/2) ∫(0 to 4 cos phi) ρ² sin phi dρ dphi dtheta
Simplifying the integral using basic calculus, we get:
V = 8 x (64/3 - 16/3√2π) = 63.717
Therefore, the volume of the region outside the cone phi = π/4 and inside the sphere rho = 4 cos phi is 8(64/3 - 16/3√2π), which is an exact answer using π as needed.
To know more about volume here
https://brainly.com/question/11168779
#SPJ4
HELP
Given the information in the diagram of circle P below, find:
Based on the information in the diagram of circle P, the magnitude of the missing angle are as follows;
m∠BPC = 80 degrees.
m∠ADC = 205 degrees.
What is the central angle property?In Mathematics and Geometry, the central angle property states that an inscribed angle is equal to one-half the measure of a central angle that is subtended by the same arc.
Based on the information provided about circle P, the central angle of circle P is represented by m∠BPC and the measure of arc BC is equals to 80 degrees. Therefore, the magnitude of angle BPC is given by:
m∠BPC = 80 degrees.
Since m∠A is an inscribed angle, its magnitude can be calculated as follows;
m∠A = 1/2(m∠BPC)
m∠A = 1/2(80)
m∠A = 40 degrees.
For the magnitude of m∠ADC, we have:
m∠ADC = 360 - (80 + 75)
m∠ADC = 360 - 155
m∠ADC = 205 degrees.
Read more on central angle here: https://brainly.com/question/27203912
#SPJ1
In the past 5 years company A sold 7.5x10^4 reams of paper. Company B sold 9.5 x10^3 reams. How many total reams did they sell altogether and how many more did company a sell than B?
Giving 20 pts please help!
84500 reams of paper are the total amount the two companies sell in the past five years.
65500 is the amount that Company B performed better than company A.
What is a Company?A company can be defined as the part in which the main aim or goal is to earn a profit. This was to generate the income that they will be having in the firm. There are various employees that are present in the company and work towards a common goal.
The Amount that is made by company A is
[tex]7.5 \times 10000[/tex]
[tex]=75000[/tex]
The amount of paper manufactured by company B is
[tex]= 9.5 \times 1000[/tex]
[tex]= 9500[/tex]
A) The total that is made by both companies in 5 years will be
[tex]= \text{Company A + Company B}[/tex]
[tex]= 75000 + 95000[/tex]
[tex]= 84500[/tex]
B) Company B made better products as compared to Company A
[tex]= \text{Company B - Company A}[/tex]
[tex]=75000 - 9500[/tex]
[tex]=65500[/tex]
Learn more about Company, here:
https://brainly.com/question/27238641
Answer:
total: 84,500 or 8.45×10⁴difference: 65,500 or 6.55×10⁴Step-by-step explanation:
You want the sum and difference of 7.5×10^4 and 9.5×10^3.
Scientific notationNumbers are most conveniently added or subtracted in scientific notation when the multipliers have the same exponent. For this we can rewrite Company B's volume as ...
9.5×10^3 = 0.95×10^4
total sales = 7.5×10^4 + 0.95×10^4 = 8.45×10^4 = 84,500
difference in sales = A -B = 7.5×10^4 -0.95×10^4 = 6.55×10^4 = 65,500
__
Additional comment
You can enter the numbers "as is" in a calculator or spreadsheet and format the output in whatever form you need.
Luke bought 4 kilograms of apples and 0.29 kilograms of oranges. How much fruit did he buy
in all?
He bought 4.29 Kilos of fruit.
4+0.29=4.29
Luke bought 4.29 kilograms of fruit in all
Step-by-step explanation:
Simple addition will be used to find the total fruit Luke bought.
Given
Amount of apples he bought = 4 kilograms
Amount of oranges he bought = 0.29 kilograms
so the total fruit will be:
[tex]\text{total fruit}=\text{Apples}+\text{oranges}[/tex]
[tex]=4+0.29[/tex]
[tex]=4.29[/tex]
So,
Luke bought 4.29 kilograms of fruit in all
Keywords: Measurement, addition
Learn more about addition at:
https://brainly.com/question/568799https://brainly.com/question/567922#LearnwithBrainly
Measure the diameter of the tin mm and write down the real diameter in mm
Answer:
Step-by-step explanation:
Order the following number from least to greatest
0. 75 0. 721 73/100
The numbers ordered from least to greatest are 0.721, 73/100, and 0.75.
0.75, 0.721, 73/100
we can convert the fraction 73/100 to a decimal by dividing 73 by 100, which gives us 0.73.
0.721 < 0.73 < 0.75
"Least" is a mathematical term used to refer to the smallest value in a given set of numbers or a range of values. It is the opposite of the term "greatest," which refers to the largest value in the set. To find the least value in a set of numbers, you can sort them in ascending order and select the first or smallest number. Alternatively, you can use mathematical formulas or functions such as the minimum function to determine the least value.
In algebra, finding the least common multiple (LCM) or least common denominator (LCD) involves identifying the smallest multiple or denominator that two or more numbers or expressions have in common. This is essential in simplifying and solving complex equations and expressions. In geometry, the least distance between two points is the straight line or path that connects them and is the shortest possible route between them. This concept is fundamental in navigation and optimization problems.
To learn more about Least visit here:
brainly.com/question/30060162
#SPJ4
