Answer:
B
Step-by-step explanation:
Volume = ⅓ pi × r² × h
147pi = ⅓ × pi × 7² × h
Step-by-step explanation:
Step 1: Find the expression that can be used to find h
[tex]V = \pi * r^2 * \frac{h}{3}[/tex]
[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]
[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]
147 pi = one-third pi (7 squared) (h)
Answer: Option B
In ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch.
We have been given that in ΔRST, s = 93 inches, ∠S=123° and ∠T=28°. We are asked to find the length of r to the nearest 10th of an inch.
We will use law of sines to solve for side r.
[tex]\frac{a}{\text{Sin}(a)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are corresponding sides to angles A, B and C respectively.
Let us find measure of angle S using angle sum property of triangles.
[tex]\angle R+\angle S+\angle T=180^{\circ}[/tex]
[tex]\angle R+123^{\circ}+28^{\circ}=180^{\circ}[/tex]
[tex]\angle R+151^{\circ}=180^{\circ}[/tex]
[tex]\angle R+151^{\circ}-151^{\circ}=180^{\circ}-151^{\circ}[/tex]
[tex]\angle R=29^{\circ}[/tex]
[tex]\frac{r}{\text{sin}(R)}=\frac{s}{\text{sin}(S)}[/tex]
[tex]\frac{r}{\text{sin}(29^{\circ})}=\frac{93}{\text{sin}(123^{\circ})}[/tex]
[tex]\frac{r}{\text{sin}(29^{\circ})}\cdot \text{sin}(29^{\circ})=\frac{93}{\text{sin}(123^{\circ})}\cdot \text{sin}(29^{\circ})[/tex]
[tex]r=\frac{93}{0.838670567945}\cdot (0.484809620246)[/tex]
[tex]r=110.889786233799179\cdot (0.484809620246)[/tex]
[tex]r=53.7604351[/tex]
Upon rounding to nearest tenth, we will get:
[tex]r\approx 53.8[/tex]
Therefore, the length of r is approximately 53.8 inches.
The area of a rectangular baking sheet is 25 square inches. The base of the sheet is 10 inches. What is the height?
2 and one-half in.
3 in.
3 and one-half in.
250 in.
Answer:
2 1/2
Step-by-step explanation:
take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade, without replacement?
A. 25/102
B.13/102
C.13/204
D.1/2
There are 52 cards in the deck.
Picking a spade would be 13/52 which reduces to 1/4
After the first card is picked there are 51 cards left, picking a club would be 13/51
Picking both would be 1/4 x 13/51 = 13/204
The answer is C.
Complete 8 for 15 points.
Answer:
756 is evenly divisible by 2, 3, 4, 6, and 9.
Step-by-step explanation:
756 is evenly distributed by the numbers (above).
756/2 = 378756/3 = 252756/4 = 189756/5 = 151.2 756/6 = 126756/8 = 94.5756/9 = 84 756/10 = 75.6 756/25 = 30.24Find an equation, in slope-intercept form, that passes through the point (−4,3) with a slope of −3.
Answer:
y = -3x - 9
Step-by-step explanation:
Equation of line in point slope form is given as:
[tex]y - y_1 = m(x-x_1) \\
y - 3= - 3\{x - (-4)\}\\
y - 3 = - 3(x + 4)\\
y =- 3x - 12 +3\\
y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]
On a coordinate plane, a circle has a center at (4, 5) and a radius of 3 units.
Which equation represents a circle with the same center as the circle shown but with a radius of 2 units?
(x – 4)2 + (y – 5)2 = 2
(x – 4)2 + (y – 5)2 = 4
(x – 5)2 + (y – 4)2 = 2
(x – 5)2 + (y – 4)2 = 4
Answer:
(x - 4)² + (y - 5)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (4, 5) and r = 2, thus
(x - 4)² + (y - 5)² = 2², that is
(x - 4)² + (y - 5)² = 4 ← second option on list
The required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2 + (y-5)^2 = 4
Equation of a circleThe standard equation of a circle is expressed as:
(x-a)^2 + (y-b)^2 = r^2
where:
(a, b) is the centre = (4, 5)
r is the radius = 3 units
Substitute to have;
(x-4)^2 + (y-5)^2 = 2^2
(x-4)^2 + (y-5)^2 = 4
Hence the required equation represents a circle with the same center as the circle shown but with a radius of 2 units is (x-4)^2 + (y-5)^2 = 4
Learn more on equation of circle here: https://brainly.com/question/14150470
Find the surface area of the prism.
Answer:
920 ft^2
Step-by-step explanation:
area of triangles: base x height / 2 (2)
8 x 15 / 2
= 60 x 2
= 120
area of rectangular base: length x width
15 x 20 = 300
area of sloped rectangle: length x width
17 x 20 = 340
area of rectangle: length x width
8 x 20 = 160
Total: 120 + 300 + 340 + 160
=920 ft^2
Answer:
920 ft²
Step-by-step explanation:
2 triangles + 3 rectangles
2(½×15×8) + 20(17+8+15)
120 + 800
920
Unit 5. 1) Please help. What is the volume of the cone?
Answer:
I think the correct answer is 27 so option c. :)
PLEASE HELP
For a hypothesis test of H0: p = 0.35 against the alternative Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?
A. The finding is significant at α = 0.05, but not at α = 0.01.
B. The finding is significant at α = 0.01, but not at α = 0.05.
C. The finding is significant at both α = 0.05 and α = 0.01.
D. The finding is not significant at α = 0.05 and α = 0.01.
Answer:
C
Step-by-step explanation:
Is is a one-tailed test
P(z < 2.45) = 0.9929
1 - 0.9929 = 0.0071
Significant at both 0.05 and 0.01 because both are greater than 0.0071
Answer:
The finding is significant at both α = 0.05 and α = 0.01.
I am thinking of a number. My number is between 20 and 30 My number and 12 have only one common factor. What number could I be thinking of? Give all three possible answers.
Answer:
21, 22 and 26
Step-by-step explanation:
To answer this question first we need to know which are the factors of 12:
[tex]12= 2^2(3)[/tex]
So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.
Let's take number 21:
[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12
Now, let's take the number 22,
[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.
Now, let's take the number 26
[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.
Thus, the three possible answers are 21, 22 and 26
I need some help please!! I'll give brainliest to first answer!!!!!!!!!!!!!
Answer:
Keith; -5, -12
Step-by-step explanation:
Logic ( Subtract 12 from both sides, then factor it out)
Find the area. The figure is not drawn to scale.
1.
36 in.
40 in.
33 in.
-
Answer: 47,520
Step-by-step explanation: 36 times 40 times 33
I need help pls answer as fast as posible
Answer:
1/8
Step-by-step explanation:
Answer:
1/7
Step-by-step explanation:
divide 6/42
Someone help me pleaseeee
Answer:
you have to add all the angles including 'x' which is equals to 180°.
The process is
99+49+x=180
148+x=180
x=180-148
x=32.
The elevation at the summit of Mount Whitney is 4,418 meters above sea level. Climbers begin at a trail head that has an elevation of 2,550 meters above sea level. What is the change in elevation, to the nearest foot, between the trail head and the summit?
(1 foot =0.3048 meters) *
A. 1868 ft
B. 569 ft
C. 6,128 ft
D. 6,129 ft
Answer:
D
Step-by-step explanation:
Firstly, to answer this question, we need to calculate the change in elevation.
Let’s just think of the question as, the distance from the foot of the mountain to the top is 4,418 meters. Now we have climbers starting at a height of 2,550 meters. We now need to know the difference or the distance to which they have climbed.
To calculate this is quite straightforward, all we need do is to subtract the starting point from the end position.
Mathematically that would be 4,418 - 2,550 = 1,868 meters
Now our answer need be in foot. we have a conversion system given in the question already.
1 foot = 0.3048 meters
x foot = 1,868 meters
x = 1,868/0.3048
x = 6,128.6 feet which is approximately 6,129 feet
Can someone help me on this
Answer:
1. C) quadratic
2. b) exponential
Step-by-step explanation:
Please help, it’s a math question
Answer:
the answer is B
Step-by-step explanation:
hope it help
Find cos x if sin x =0.82.
Answer:
cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...
Missing: =0.82 | Must include: =0.82
Step-by-step explanation:
What is the approximate area of the shaded sector in the circle shown below?
A. 31.7 cm^2
B. 5.76cm^2
C. 2.88cm^2
D. 126.7cm^2
Answer:it’s 31.7 cm^2
Step-by-step explanation:
The approximate area of the shaded sector is 31.7 cm² (Option A).
To find the area of the shaded sector, we need to calculate the fraction of the entire circle that the sector represents and then multiply it by the area of the whole circle.
The formula to find the area of a sector is given by:
Area of sector = (θ/360) * π * r²
where θ is the central angle and r is the radius of the circle.
In this case, the radius (r) of the circle is given as 11 cm, and the central angle (θ) is given as 30 degrees.
Let's calculate the area of the shaded sector:
θ = 30 degrees
r = 11 cm
Area of sector = (30/360) * π * 11²
= (1/12) * π * 121
= π * 10.0833...
Now, we can approximate the value of π as 3.14:
Area of sector ≈ 3.14 * 10.0833...
≈ 31.7 cm²
Therefore, the approximate area of the shaded sector is 31.7 cm².
The correct option from the given choices is A. 31.7 cm².
To know more about sector, refer here:
https://brainly.com/question/12051312
#SPJ2
The median is the same thing as?
Quartile 1
Quartile 2
Quartile 3
None of the above
Other:
Answer:
The median is NOT the same thing as a quartile.
The median is a measure of center.
hey can anyone pls help me out in dis!!!!!!!!!
Answer:
Look at the attachment
The mk family orchard has 120 apple trees and 90 pear trees. If each fruit tree produces an average of 590 pounds of fruit per year, about how many pounds of fruit can the orchard produce in one year
Answer & Step-by-step explanation:
If each fruit tree produces an average of 590 pounds of fruit, then that means we are going to multiply. For the apples, we are going to multiply 120 by 590. For the pears, we are going to multiply 90 by 590. After we multiply these numbers, we are going to add the products so we can find the total amount of pounds of fruit.
Apples:
120 × 590 = 70800
Pears:
90 × 590 = 53100
Now, we add 70800 to 53100.
70800 + 53100 = 123900
So, the orchard produces 123900 pounds of fruit in one year.
Please Help! ASAP! WIll give Brainliest
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
x/2 = 12.5/5
5 · x = 12.5 · 2
5x = 25
5x / 5 = 25 / 5
x = 5
Step-by-step explanation:
1 3 4 21
+ = + =
7 4
Answer:
i tried so i hope this helps you
A bag of Super dog food, at $12.85, is one third the price of a bag of power dog food. Write and solve a division equation to find the price of a Power Dog dog food.
Answer:
4.283
Step-by-step explanation:
Divide 12.85 by 3 using a calculator
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
This question is incomplete and it lacks the attached diagram of the square based pyramid. Find attached to this answer, the square based pyramid.
Correct Question
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
C. How many cubic yards of concrete are needed to make the planter?
Answer:
A. The slant height of the pyramid = 2.24 yards.
B. The surface area of the composite figure = 12.94 square yards.
C. The cubic yards of concrete are needed to make the planter = 2.67 cubic yards.
Step-by-step explanation:
A. What is the slant height of the pyramid?
To calculate the Slant height of a pyramid we make use of the Pythagoras Theorem which is given as:
a² + b² = c²
Where a = Height of the square pyramid represent by h
b = radius of the square pyramid represented by r
c = Slant height of the square pyramid represented by s
Therefore, we have
h² + r² = s²
Looking at the attached diagram, we are given the side length = 2 yards.
The radius of the square based pyramid = side length ÷ 2
= 2÷ 2 = 1 yard.
The height of a square based pyramid = 2 yards
Since , h² + r² = s²
The slant height of the square pyramid is calculated as :
√h² + r² = s
√(2² + 1²) = s
√5 = s
s = 2.24 yards
B. What is the surface area of the composite figure?
We were given hints in the question that the the surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.
Step 1
We find the Lateral area of the faces of the insides of the inverted pyramid
We have 4 faces, Hence,
The formula is given as
a × √( a² + 4h²
a = 2 yards
h = 2 yards
So, = 2 × √( 2² + 4 ×2²
The Lateral area of the faces = 8.94 square yards.
Step 2
Area of the 5 faces of the cube
= a²
Where a = side length = 2 yards
= 2²
= 4 square yards.
Step 3
Therefore, surface area of the composite figure = 8.94 square yards + 4 square yards
= 12.94 square yards.
C. How many cubic yards of concrete are needed to make the planter?
This is calculated by find the Volume of the Square based pyramid.
The formula is given as :
V = (1/3)a²h
Where a = side length = 2 yards
h = height of the square based pyramid = 2 yards
V = 1/3 × 2² × 2
V = 2.67 cubic yards
The local theater sold 260 tickets to their most recent performance. Admission was $9 for adults and $5 for children. If they made $2,140, how many adult tickets did they sell?
Answer:
210 adult tickets were sold
Step-by-step explanation:
let x be the number of adult tickets sold
let y be the number of children tickets sold
x+y=260 equation 1
9x+5y=2140 equation 2
multiply equation 1 by 5
multiply equation 2 by 1
5x+5y=1300
9x+5y=2140
subtract equation 1 from 2
4x=840
x=840/4 =210 tickets
substitute for x in equation 1
210+y=260
y=260-210=50
1. Calculate the slope between the two points (2,5) and (-3,-4).
To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”
So we have [tex]\frac{-4 - 5}{-3 - 2}[/tex] and this simplifies to -9/-5 or 9/5.
Remember, a negative divided by a negative is a positive.
ok, im failing math rn so plz help
Answer:
-3/4
Step-by-step explanation:
Point A is at (-4,3) and Point B is at (4,-3)
The slope is at
m = (y2-y1)/(x2-x1)
= (-3 -3)/(4 - -4)
= (-3-3)/(4+4)
= -6/8
= -3/4
Sarah, Natasha and Richard share some sweets in the ratio 5:2:3. Sarah gets 75 sweets. How many more sweets does Richard get over Natasha?
Answer:
Richard gets 15 more sweets than Natasha.
Step-by-step explanation:
Given that the ratio of Sarah's sweets is 5 and she has 75 sweets. So firstly, you have to find out how many sweets in a ratio of 1 :
Let ratio be units,
[tex]5 units = 75 sweets[/tex]
[tex]1 unit = 75 \div 5[/tex]
[tex]1 unit = 15 sweets[/tex]
Now we have to find how many sweets does Natasha and Richard has :
Richard (ratio of 3),
[tex]3 units = 15 \times 3[/tex]
[tex]3 units = 45 sweets[/tex]
Natasha (ratio of 2),
[tex]2 units = 15 \times 2[/tex]
[tex]2 units = 30 sweets[/tex]
In order to find how many sweets Richard has more than Natasha, you have to substract :
[tex]45 - 30 = 15 sweets[/tex]
Answer:
15
Step-by-step explanation:
the answer is 15
