Answer:
10.63.
Step-by-step explanation:
First we need to understand pythagorean theorem that is,
Hypotenuse^2=perpendicular^2+base^2.
=7^2+8^2.
=49+64
=113.
Hypotenuse^2=113.
Square root both sides.
Hypotenuse=10.63.
Answer:
12
Step-by-step explanation:
Length of one of the boards = 8 feet
Converting to inches

One cut is 16 inches
So, we divide the length of the board by 16

So, one board is cut into 6 pieces.
The other board is also 8 feet long.
So, the number of pieces the other board is cut into is also 6.
Hence, a total of
pieces of each 16 inches long can be cut from the two boards.
Answer:
KR
Step-by-step explanation:
First, you can see the right angle and the 30 degrees. Those are the same, so we can flip the triangle on the right to match the one on the left. The line that is similar is KR.
Answer:
The length of each side of the cube is 
Step-by-step explanation:
we know that
The volume of a cube is equal to

but remember that in a cube
Length, width and height have the same value
so
Let
b-----> the length side of the cube

substitute in the formula

In this problem we have

substitute and solve for b

![b=\sqrt[3]{\frac{1}{512}}\\ \\b=\frac{1}{8}\ m](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B512%7D%7D%5C%5C%20%5C%5Cb%3D%5Cfrac%7B1%7D%7B8%7D%5C%20m)
therefore
The length of each side of the cube is 
Answer:
2) D
12) C
13) D
Step-by-step explanation:
2) 4° C at 6:00 PM
A) + 2° - 6° = - 4° 4° - 4° = 0° 0° does not equal 4° A
Correct
B) - 5° + 1° = - 4° 4° - 4° = 0° 0° does not equal 4° B
Correct
C) + 6° - 4° = + 2° 4° + 2° = 6° 0° does not equal 4° C
Correct
D) - 7° + 7° = 0° 4° + 0° = 4° 4° does equal 4° D = Correct
The answer to question #2 is D
12) M = -3
N ----> M = 8.5 units
The only possible options for N are:
-3 + 8.5 = 5.5
-3 - 8.5 = -11.5
-11.5 is not a choice, so the answer to question #12 is C
13) Scale: 1 inch = 70 yards
Abe walks 3.5 inches (on the diagram)
Multiply both sides of the scale by 3.5
3.5 * 1 inch = 70 * 3.5
3.5 inches = 245 yards
Abe walked 245 yards
The answer to question #13 is D
Hope this helps :)