Answer:
B
Step-by-step explanation:
see attachment
Answer: x+3x+X+24=94
5x+24=94
-24. -24
5x=70
X=14
One side is 14 second side 3(14)=42. Third side 14+24= 38
14+42+38=94
Step-by-step explanation:
If you would like to know how many square feet of the wall will be blue, you can calculate this using the following steps:
8 2/5 feet high * 16 2/3 feet long = 8 2/5 * 16 2/3 = 42/5 * 50/3 = 140 square feet
1/2 * 140 = 140/2 = 70 square feet
<span>The correct result would be 70 square feet.</span>
Answer:
D. 264 in³
Step-by-step explanation:
The missing edge dimension can be found using the Pythagorean theorem. Then the volume can be found using the appropriate formula.
<h3>Edge dimension</h3>
The missing dimension and the two given for the top triangle will satisfy the Pythagorean theorem. If the missing dimension is represented by 'a', then we have ...
a² +8² = 10²
a = √(100 -64) = 6 . . . . inches
<h3>Volume</h3>
The area of the top triangle is ...
A = 1/2bh . . . . where b and h are the base and height dimensions
A = 1/2(6 in)(8 in) = 24 in²
The volume of the triangular prism is ...
A = Bh . . . . . where B is the area of the triangular base, and h is the prism height
A = (24 in²)(11 in) = 264 in³
The volume of the triangular prism shown is 264 in³.
