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3 years ago

What is the volume of the pyramid shown?

Mathematics

1 answer:

Vilka [71]3 years ago

7 0

Answer:

The answer to your question is 440 in³, this is my result I can not see the height in the picture I think the number is 40 in

Step-by-step explanation:

Data

length of a side = 6 in

height = 40 in Is really 40?

Volume of a square pyramid = ?

Process

1.- Calculate the area of the base

Ab = 6 x 6

= 36 in²

2.- Calculate the volume of the Pyramid

Volume of a square pyramid = 1/3 (36 x 40)

= 1440 / 3

= 480 in³

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Choose the slope-intercept equation of the line that passes through the point (4, -6) and is parallel to y = - 1/2 x + 5. (3 poi

telo118 [61]

First, it is important to understand that parallel lines have the same slope. Therefore, based on the formula y=mx+b in which m represents slope and based on the equation y=-1/2x+5, the slope of the unknown line is also -1/2. Then, there are two different ways to solve this problem using different formulas.

The first method to find the unknown equation is easy but not widely known. We can use the point slope formula which is (y-y1)=m(x-x1) in which we can plug a point and slope to find the equation. When we plug in the values given, we get y+6=-1/2(x-4) or y+6 =-1/2x+2 which simplifies to y=-1/2x-4.

The other method is using the slope intercept form or y=mx+b. When we plug in our slope and our point, we get -6=-1/2*4+b or -6=-2+b so b must equal -4, therefore we have all the information we need to plug values into y=mx+b. When we plug in our slope and y-intercept, we get y=-1/2x-4 which is the answer.

I hope this helps!

7 0

3 years ago

A ladder leans against the side of a house. The angle of elevation of the ladder is 67 degrees when the bottom of the ladder is

Lynna [10]

Answer:

32.98 ft

Step-by-step explanation:

What you have right there is a triangle.

The base of the triangle is given (14 ft)

The angle from the ladder makes while leaning on the house is 67 degrees.

This is a simple trigonometry problem

You want to find the length of the ladder and you don't have the hypotenuse

So you can use the function tan to find it.

tan(Ф) = opposite/adjacent

You are looking for the opposite side length

So you do tan(Ф) * adjacent = opposite

tan(67) * 14 = 32.98 ft

7 0

3 years ago

assume these situations are proportional. write and solve by usinmg a proportion. Everardo paid $1.12 for a dozen eggs at his lo

Bingel [31]

12 eggs for $1.12
3 eggs for $?
As you can see, to get from 12 eggs to 3 eggs, you divide by 4, so do the same with $1.12 to get $0.28
The cost of 3 eggs is $0.28

8 0

3 years ago

Bob's need to mix 2 cups of orange juice Concentrate 3.5 cups of water to make orange juice what has six cup of concentrate how

Mars2501 [29]

The answer is 3 cups.

8 0

3 years ago

Can some one plz help me?! The LATERAL Surface Area for the shape below is:

love history [14]

Answer:

430 cm2

Step-by-step explanation:

The Lateral Surface Area of it is equal to:

Area of ABCD + Area of A'B'C'D' + Area of ABB'A' + Area of DCC'D' + Area of ADD'A' + Area of BCC'B'

As ABCDA'B'C'D' is a rectangle prism, so that:

+) Area of ABCD = Area of A'B'C'D'

+) Area of ABB'A' = Area of DCC'D'

+) Area of ADD'A' = Area of BCC'B'

=> Total lateral surface area = 2. Area ABCD + 2. Area ABB'A + 2. Area ADD'A

As ABCDA'B'C'D' is a rectangle prism, so that we have: ABCD, ABB'A', ADD'A' are rectangles.

The formula to calculate the area of rectangle is: Area = Length x Width

We have:

+) Area ABCD = AB x BC =11 x 10 = 110 cm2

+) Area ABB'A = AB x AA' = 11 x 5 = 55 cm2

+) Area ADD'A = AA' x A'D' = 5 x 10 = 50cm2

Total lateral surface area = 2. Area ABCD + 2. Area ABB'A + 2. Area ADD'A

= 2 x 110 + 2 x 55 + 2 x 50 = 430 cm2

4 0

3 years ago