Answer:
Step-by-step explanation:
Given:
Right ∆ with,
Hypotenuse = x
Opposite = 9
Reference angle = 39°.
Required:
The value of x
Solution:
Since we are given a reference angle with opposite length, and we are to find the hypotenuse length, x, apply the following trigonometric ratios formula:
Plug in the values into the equation
Multiply both sides by x
Divide both sides by sin(39)
(to 2 decimal places)
Answer:
The volume of this rectangular prism is D. 60.
Step-by-step explanation:
In order to find the volume of a rectangular prism, we need to multiply the length by the width, and then multiply their product by the height of the prism. We can write what I said above as a formula...
V = l × w × h
(In the formula above "V" is the volume, "l" is the length, "w" is the width, and "h" is the height).
Now we just substitute the values into the formula and we get...
V = l × w × h
V = 4cm × 3cm × 5cm
V = 60
Therefore, the volume of this rectangular prism is D. 60.