Answer: The second option.
Step-by-step explanation:
1. Calculate the first volume assuming that the figure is completed (with no missing part). Therefore, you must apply the formula for calculate the volume of a square prism:
Where s is the side of the base and h is the height.
2. Then:
4. The volume of the missing part is calculated with the formula of a rectangular prism:
Where l is the lenght, w is the width and h is the height. Then:
5. Therefore, you must subtract both volumes to obtained the volume of the figure:
the answer should be letter A
the difference of 3.4 and 1.25 = 2.15
Now you know that there will be 2 whole blocks and .15 of a block
.15 is equal to 3/20 which is equal to 15/100.
So you will have 2 whole blocks and 15/100 of a blocks. So the answer is A
Answer: G. 12.5, 7.5, 10
Step-by-step explanation:
To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,
F.
8² = 4² + 4²
64 = 16 + 16 = 32
A right angle triangle cannot be formed because they are not equal.
G.
12.5² = 7.5² + 10²
156.25 = 56.25 + 100 = 156.25
A right angle triangle can be formed because they are equal.
H.
23² = 11² + 9²
529 = 121 + 81 = 202
A right angle triangle cannot be formed because they are not equal.
J.
96² = 12.5² + 6²
9216 = 156.25 + 36 = 192.25
A right angle triangle cannot be formed because they are not equal.
Answer: (x+8)^2 = 127
Step-by-step explanation:
