Answer:
Step-by-step explanation:
These items may be used by Louisiana educators for educational purposes. Grade 7 Answer Key. ITEM 14. Use the table to answer the question.
Answer:
x = 9
Step-by-step explanation:
Since we know that the triangle is a right triangle we also know that the angle would be 90 degrees
However we are only given 56 and 3x+7
Let 3x+7 be u
We know that 56+u=90 so solve for u
u=90-56
u = 34
Now u = 3x + 7 so,
3x + 7 = 34
solve for x,
3x=34-7
3x=27
x=27/3
x=9.
Let the distance from the engineer to the base of the building be x, then
tan 22 = 450/x
x = 450/tan 22 = 1,113.79
Therefore the distance from the engineer to the base of the building to the nearest foot = 1,114 feet
Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by 
, where 
is the base length and 
is the height. Substituting given values, we have: 
The volume of a trapezoidal prism is given by 
, where 
and 
are bases of the trapezoid, 
is the length of the height of the trapezoid and is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (
) multiplied by the trapezoid's height ().
Substituting given values, we get:
Therefore, the total volume of the composite figure is 
(ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
