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Given:
The volume of a cube-shaped box is cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
It is given that the volume of a cube-shaped box is cubic meter.
Taking cube root on both sides, we get
Now, the perimeter of each face of a cube is:
Where, a is the side length of the cube.
Putting , we get
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,
So, the base of the ladder is 2.58 m.
Answer:
x = 60°
Step-by-step explanation:
According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.
Therefore:
x = 60°