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andrew11 [14]
3 years ago
15

How to work out the volume of the prism

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0
A prism's volume is the area of the face that does not have more than 1 equal counterpart mulitplied by the height of the entire prism, in which the height of the prism is not any of the sidelengths of the face whose area is being multiplied.
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What is the vertex of the parabola y=2x2+20x-15?<br><br> (5, 135)<br> (-5, -165)<br> (-5, -65)
maria [59]

Answer:

-296=2×2+20×-15that is the answer

Step-by-step explanation:

you need to calculate the equation step by step to get to the answer

5 0
3 years ago
Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.
Monica [59]
The average rate of change is (total change in f(x))/(total change in x) so

r=(f(6)-f(2))/(6-2)

r=(36-6-4-4+2+4)/4

r=7
7 0
3 years ago
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A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches. 2 triangular sides have a base of
melisa1 [442]

Answer:

Answer:

a) The base of the rectangular pyramid shown has an area of

60 square inches

b) A triangular face with a base of 10 inches has an area of 28 square inches.

c) A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

a) Solving for question a, we were given the following parameters

A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches

The formula used to calculate the rectangular base of a rectangular pyramid =

Length × Width

Where :

Length = 10 inches

Width = 6 inches

Rectangular base = 10 inches × 6 inches

= 60 inches²

Hence, the base of the rectangular pyramid shown has an area of 60 square inches

b) Solving for question b, we have the following values given:

2 triangular sides have a base of 10 inches and height of 5.6 inches.

First step would be to solve for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (10 inches × 5.6 inches) ÷ 2

= 56inches² ÷ 2

= 28 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 28 inches².

A triangular face with a base of 10 inches has an area of 28 square inches.

c) Solving for question c, the following parameters are given:

2 triangular sides have a base of 5 inches and height of 7.1 inches.

We would be to solving for one triangular side first.

The area of the one triangular side = (Base × Height) ÷ 2

= (5 inches × 7.1 inches) ÷ 2

= 35.5 inches² ÷ 2

= 17.75 inches²

Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 17.75 inches².

A triangular face with a base of 5 inches has an area of 17.75 square inches.

d) Solving for d, it is important to note that, a rectangular pyramid has 5 faces and they are: The rectangular base and 4 triangular faces

The formula for the total surface area of the rectangular pyramid is given as

Total Surface Area of the rectangular pyramid = Rectangular Base + Area of Triangular Side A + Area of Triangular Side B + Area of Triangular Side C + Area of Triangular Side D + Area of Triangular Side E

Total Surface Area of the Rectangular Pyramid = 60 inches² + 28 inches² + 28 inches² + 17.75 inches² + 17.75 inches²

Total surface Area of the Rectangular pyramid = 151.5 inches²

The total surface area of the pyramid is 151.5 square inches.

Step-by-step explanation:

BRAINLIEST PLEASE?

3 0
3 years ago
What is the solution to the system of equations?
Karolina [17]

Answer: (1,3) or x = 1 and y = 3

Step-by-step explanation:

The solution is the intersection thus the answer is (1,3) or x = 1 and y = 3

4 0
2 years ago
I need some help, with my algebra ​
Viktor [21]

Answer:

Hey there!

Perimeter: 24

Area: 24

36+64=x^2

x=10

Perimeter: 10+6+8=24

Area: 1/2bh, 1/2(48)=24

Both the area and perimeter are 24.

Hope this helps :)

5 0
3 years ago
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