What's the Estimate of 615-342

A home builder wants to decorate the post at the bottom of a stairway. One way to do this is to glue a square-based pyramid to t

AysviL [449]

We have been given net of a pyramid. We are asked to find the total surface area of the pyramid.

The surface area of the pyramid will be area of base plus area of 4 triangular sides.

We have been given that base of pyramid is square, so area of base will be square of base side.

$\text{Area of base}=(\text{10 in})^2=100\text{ in}^2$

Let us find area of one triangular side.

$\text{Area of triangle}=\frac{1}{2}\times \text{Base}\times\text{Height}$

$\text{Area of triangle}=\frac{1}{2}\times \text{10 in}\times\text{6 in}$

$\text{Area of triangle}=\text{5 in}\times\text{6 in}$

$\text{Area of triangle}=30\text{ in}^2$

Now we will multiply area of one triangular face by 4 to find area of 4 triangular faces.

$\text{Area of 4 triangular faces}=4\times 30\text{ in}^2$

$\text{Area of 4 triangular faces}=120\text{ in}^2$

Total surface area of pyramid would be area of base plus area of 4 triangular faces.

$\text{Total surface area of pyramid}=100\text{ in}^2+120\text{ in}^2$

$\text{Total surface area of pyramid}=220\text{ in}^2$

Therefore, 220 square inches of copper sheet are needed to make one pyramid.

4 0

3 years ago

Sitting on a park bench, you see a swing that is 100 feet away and a slide that is 80 feet away. The angle between them is 30 de

leva [86]

We are given : Distance of the swing = 100 feet.

Distance of slide = 80 feet.

Angle between swing and slide = 30 degrees.

We need to find the distance between the swing and the slide.

Distance of swing, distance of slide and distance between the swing and the slide form a triangle.

We can apply cosine law to find the distance between the swing and the slide.

c^2 = a^2 +b^2 - 2ab cos C

c^2 = 100^2 +80^2 - 2(100)(80) cos 30°

c^2 = 10000 + 6400 -2* 8000 $(\frac{\sqrt{3}} 2)}$

c^2 = 16400 - 8000 $\sqrt{3}$

c^2 = 16400 - 13856

c^2 = 2544

$c =\sqrt{2544}$

c= 50.44

c = 50 feet approximately.

<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>

5 0

3 years ago

Read 2 more answers

A survey about the student government program at a school finds the following results 190 students like the program 135 Students

Butoxors [25]

190+135+220=445. 360(the degrees in a circle)/445(the number of students)=0.81. Each student is worth 0.81 degrees. 0.81x190(the number of students that like the program)=135.9. That rounds up or 136 so the answer is 136 degrees.

5 0

3 years ago

¼c+3d when c and d=7

-Dominant- [34]

Answer:

22.75

Step-by-step explanation:

you substitute the 7 in for c and d. Following PEMDAS, you would then do (1/4) multiplied by 7 and 3 times 7. add those 2 together and you get 22.75 :)

8 0

3 years ago

Read the following statement. If a number is divisible by 2,then it is even what is the inverse of this statement?

Lapatulllka [165]

Answer:

If it is an even number, then it is divisible by 2

Step-by-step explanation:

You flip the order of statements. One statement is "a number is divisible by 2", the other is "it is even" is the other.

7 0

3 years ago