Answer:
84 mm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 b *h
The base is 14 and the height is 12
A = 1/2 (14*12)
A = 84 mm ^2
Area of a triangle formula: A = 1/2bh
Solve using the values given in the picture.
A = 1/2(14)(12)
A = 1/2(168)
A = 84
Therefore, the volume of the triangle is 84mm²
Best of Luck!
Consider circle C with angle ACB measuring 3 pi/4 radians if minor arc AB measures 9 pi inches what is the length of the radius of circle C if necessary round your answer to the nearest inch
Answer:
r = 12 inches
Step-by-step explanation:
In this question, we are asked to calculate the length of the radius of the circle.
This is accessible from using the length of an arc.
Mathematically, the length of an arc can be calculated using the formula;
Theta/360 * 2 * pi * r
Where Theta is the angle subtended at the center and r is the radius of he circle.
According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)
Thus we have;
9 pi = 135/360 * 2 * pi * r
divide through by pi
9 = 270r/360
360 * 9 = 270r
r = (360 * 9)/270
r = 12 inches
Answer:
b
Step-by-step explanation:
I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?
Answer:
68%
Step-by-step explanation:
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .
Select all the equations where a = 8 is a solution.
Choose 3 answers:
A 2 + 11 = 15
6 l = 8 + 0
©
15
a = 23
0 42 = 7a
Answer: B, C and E
Step-by-step explanation:
Find the perimeter and the area of the polygon with the given vertices.
S (3,0), T (3,9), U (8,9), V (8,0)
Answer: area =45 perimeter=28
Step-by-step explanation: height is 9, length is 5 5x9 =45
9+9+5+5= 28
Which expression is equivalent?
7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19
Answer:
this is so overdue
Step-by-step explanation:
Please help me I really need your help please help me
Answer:
Step-by-step explanation:
Q8) Diameter = 14 in
r = 14/2 = 7 in
Area of missing chunk = πr²/4
= (3.14 * 7 * 7)/4
=1/4(3.14*7*7)
option 4
Q9) 90 degrees
Q10) Each minute = 6°
In the figure shown, it is 15 minutes
= 15* 6 = 90 degrees
Fourteen subtracted from the product of a number and -3 is 25
Answer:
5.5 is the number.
Step-by-step explanation:
14-(-2x)=25
Solve the equation.
2x=11
x=5.5
The value of number is -13.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. . In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Fourteen subtracted from the product of a number and -3 is 25
let the number be x
product of a number and -3= -3x
and, Fourteen subtracted from the product of a number and -3
= -3x- 14
So, -3x -14 = 25
-3x = 25+14
-3x = 39
x= -13
Hence, the value of x is -13.
Learn more about Algebra here:
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plzzzzzzzzzzzzaaaaaaaa
Answer:
A
Step-by-step explanation:
[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]
The correct answer choice is A. Hope this helps!
Noah pays $25.20 for non-perishable food items to give to the local homeless shelter,
The price includes a 5% sales tax.
What is the price before tax, 6, of
the food items?
b=$
w
Answer:
The original price of the food items was 24.
A bag contain 8 blue balls, 7 green balls and 5 red balls.What is the probability that the ball is red?
Answer:
A bag contains:
8 blue balls.
7 green balls.
5 red balls.
The probability that the ball is red would be:
P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25
Hope this helps!
:)
Answer:
0.25
Step-by-step explanation:
Total balls: 8 + 7 + 5 = 20
Red balls: 5
P(red) = 5/20 = 0.25
which equation can be used to solve for c?
Answer:
The second option
Step-by-step explanation:
cos35=5/c
5/c=cos35/1
cos35(c)=5
c=5/cos35
Therefore, the second option.
I hope this helped and have a good rest of your day!
If a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r fill?
Answer:
Step-by-step explanation:
First, calculate the volume of the first cylinder
V= pi * r^2 * h
= pi * r^2 * 9 = 9 pi r^2
Volume of the second cylinder
V = pi * (2r)^2 * 9 = 36 pi r^2
the number of pitcher that can be filled is volume of second pitcher divided by volume of smaller 36 pi r^2 / 9 pi r^2 = 4
The number of cylinders that can be filled is given by the equation A = 4
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the first cylinder be V₁
The radius of cylinder 1 = r
The height of the cylinder 1 = 9 inches
Let the volume of the second cylinder be V₂
The radius of cylinder 1 = 2r
The height of the cylinder 1 = 9 inches
Now , the volume of cylinder 1 is V₁ = πr²h
Substituting the values in the equation , we get
V₁ = 9πr²
Now , the volume of cylinder 2 is V₂ = πr²h
Substituting the values in the equation , we get
V₂ = 9π ( 2r )²
V₂ = 36πr²
And , the number of cylinders that can be filled is A = V₂ / V₁
On simplifying the equation , we get
The number of cylinders that can be filled is A = 36πr²/9πr²
The number of cylinders that can be filled is A = 4 cylinders
Hence , the number of cylinders is 4
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Mrs Andrews had 1 2/8 pizzas left after her pizza party.After giving some to mr.Andrews,she had 6/8 left.What fraction of the pizza did she give to mr.Andrews?Use the fraction models to help you solve the problem.
Answer: 4/8
Step-by-step explanation:
From the question, Mrs Andrews had 1 2/8 pizzas left after her party and after giving some to Mr Andrews, she then had 6/8 left.
To know the fraction given to Mr Andrews, we subtract 6/8 from 1 2/8. This will be:
= 1 2/8 - 6/8
= 4/8
She gave 4/8 to Mr Andrews.
The triangles are similar.
What is the value of x?
Answer:
x = 16
Step-by-step explanation:
We can use ratios to solve
12 x
--------- = ----------
3 4
Using cross products
12*4 = 3x
Divide each side by 3
48/3 = 3x/3
16 =x
hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3
Answer:
They do have the same solution
Step-by-step explanation:
In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).
Find the value of the variables for each set or similar figures
Answer:
3
Step-by-step explanation:
Which of the following lists all of the positive factors of 18?
The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.
Step-by-step explanation:
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
Answer:
(4;0)
Step-by-step explanation:
y=0
2x-3×0=8
2x=8
x=4
A triangle has a side with length of 6 feet and another side with length of 8 feet. The angle between the sides measures 73°. Find the area of the triangle. Round your answers to the nearest tenth. Please show work.
a. 23.0 ft^2
b. 45.9 ft^2
c. 1752 ft^2
d. 7.0 ft^2
Answer:
Area = (1/2) * side 1 * side 2 * sine (73 degrees)
Area = (1/2) * 6 * 8 * .9563
Area = 22.9512 square feet
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Area = ½ a b sinC
= ½ × 6 × 8 × sin(73)
= 22.9513141431
To the nearest tenth: 23.0 ft²
4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.
Answer: 2 prices
Step-by-step explanation:
Price per play = $0.50
Total amount incurred by Gina in playing =$4
Therefore, total games played :
$4 ÷ $0.5 = 8 games.
Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)
Required for winning = (3, 5, 7)
Probability of winning:
P(WIN) = ( required outcome / Total possible outcome)
P(win) = 3/12 = 1/4
Therefore, the number of prices she can expect to win is (1/4) × number of games (8)
(1/4) × (8) = 2
What is the population density of LA? Explain your work: Los Angeles: population = 4,000,000; Area= 503 sq. miles
Answer:
The population density is 7592 people per square mile
Step-by-step explanation:
The population density of los Angeles here refers to the number of people present by square miles
Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles
The population here is 4,000,000 while the area is 503 square miles
The population density is thus ;
4,000,000/503 = 7592.29 which is approximately 7592 people per square mile
The system of linear equations 5x+3y=3 and X+y=-1 is graphed below.
What is the solution to the system of equations?
O (4,3)
O 1-3.4)
Answer:
(3, - 4) is the solution to the system of equations.
Step-by-step explanation:
1. Rewrite one of the equations so it eighter starts with y= or it starts with x=
Here the easy way is to write X+y=-1 in the form x=
X= - y - 1
2. Substitute X= - y - 1 in the other equation 5X+3y=3:
5X+3y=3
X= - y - 1
5(- y - 1)+3y=3
-5y -5 +3y = 3
-2y = 3 +5
2y = -8
y = - 4
3. Now substitute this value y = - 4 in X= - y - 1
X= - (y) - 1
y = - 4
X= - (- 4) - 1
X = 4 - 1
X =3
4. So X =3 and y = - 4 gives this coordinate (3, - 4), which is the solution to the system of equations.
•
Suppose you had 28 baskets of 6 apples and 5 baskets of 9 apples.
How could you quickly figure out how many baskets of 3 apples you could create?
Answer:
71 baskets of 3 apples.
Step-by-step explanation:
From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.
From each of the 5 baskets you can get 9/3 = 3 baskets of 3.
Therefore:-
From the 28 baskets you can create 28 * 2 = 56 baskets of 3.
From the 5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.
Total 15 + 56 = 71.
Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer
Step-by-step explanation:
2 Buildings : 3 Floors Each : 16 Windows per Floor
Multiply 2 and 3 to get the total amount of floors.
2 times 3 equals 6
Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.
6 times 16 equals 96
Therefore, there are 96 windows in total or 48 windows per building
What is the equation
Answer:
76
Step-by-step explanation:
-4x + 104 = -200
-4x = -304
4x = 304
x=76
The area of a rectangle is 42 square inches
and one side is 12 inches long. Find the perimeter of the rectangle.
Answer:
The perimeter is 31 inches
Step-by-step explanation:
The perimeter is the sum of all the sides.
The formula for the area of the rectangle is : [tex]length*width[/tex]
To work this out you would first need to divide the area of 42 by the length of 12, this gives you 3.5. This is because the formula for the area of a rectangle is length multiplied by the width, and so by dividing the area by 12 we are working out the perimeter of the missing side.
Now that we know the lengths of both sides we can begin working out the perimeter. You can do this by multiplying the lengths by 2. Multiply 12 by 2,which gives you 24. Multiply 3.5 by 2, which gives you 7.
The final step in calculating the perimeter would be to add the values of 24 and 7, this gives you 31. This is because the perimeter is sum of all of the lengths of a shape.
1) Divide 42 by 12.
[tex]42/12=3.5[/tex]
2) Multiply 12 by 2.
[tex]12*2=24[/tex]
3) Multiply 3.5 by 2.
[tex]3.5*2=7[/tex]
4) Add 7 and 24.
[tex]24+7=31[/tex]
Factor the trinomial:
5x2 + 7x + 2
Look at the attached picture
Hope it will be helpful to you.
can someone give me some examples of statistics PLEASE
Answer:
Weather Forecasts,Genetics,Medical Studies i think
Step-by-step explanation:
If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible
Answer:
likely or probable
Step-by-step explanation:
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2/9 times n = -6. find the value of n. Please help!
Answer: n = -27
Step-by-step explanation:
2/9n = -6
divide both sides by 2/9
n = -27