Answer:
5.5 yd
Step-by-step explanation:
The angle opposite to x is 20°
Reason: Alternate interior angles are equal
= tan 20°
x = 15 × tan 20° = 5.459553514 yd
That is 5.5 yd (answer rounded off to nearest tenth).
Answer:
21 feet
Step-by-step explanation:
You could either do
3 + 3 + 3 + 3 + 3 + 3 + 3 = 21
or
3 x 7 = 21
First symmetrically cut the pentagon to get 5 pieces. (So that you will get the idea that this polygon is divided into 5 triangles)
Then find the area of one of the triangles:
Area of Triangle = 
A =
× 4 × 10
A = 20 m²
To find the area of the whole pentagon shape:
A = 20 × 5 = 100 m²
<em>Hope it helps!</em>
Answer: The answers are
- Subtract 7 from both sides of the equation.
- Subtract 7 from 7.
- Substitute 5 for p to check the solution.
Step-by-step explanation:
p + 7 = 12
= p + 7 - 7 = 12 - 7
= p = 5
Then for the substituting part
5 + 7 = 12
Hope this helps!
9514 1404 393
Answer:
- 113.04, 4, 452.16
- 78.5, 11, 863.5
- 153.86, 10, 1538.6
Step-by-step explanation:
When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:
B = πr² = 3.14×r²
In the second figure, the radius is half the diameter, so is 5 units.
The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.
V = 113.04 · 4
V = 452.16 units³ . . . showing how the numbers are used in the first figure