The volume of a prism is area of the base times height.
This is a triangular prism. The base is a triangle.
The volume is area of the base times height, and the base is a triangle.
Find the area of the triangle and multiply by the height of the prism.
V = volume of the prism
A = area of the base
H = height of the prism
h = height of the triangle
b = base of the triangle
V = AH
V = (1/2)bhH
V = (1/2) * 9 ft * 7 ft * 15 ft
V = 472.5 ft^3
<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting 
, the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;
Dividing, we get;
Taking 
on both sides of the equation, we get;
Rounding off to the nearest whole integer, we get;
Thus, the value of x is 48°
Hence, Option c is the correct answer.
Answer:
=1.23*10^6
Step-by-step explanation:
We have to calculate
(1.93*10^7 )-(9.7*10^6)
In order to add or subtract two numbers in scientific notation, we have to make sure that the power of exponents in both numbers is same.
We have to reduce the power of 10 in first number from 7 to 6
So,
Step 1:
1.93*10^7=1.93*10*10^6
=10.93*10^6
Now,
Step 2:
=(1.93*10^7 )-(9.7*10^6 )
= 10.93*10^6- 9.7*10^6
Step 3:
=(10.93-9.7)*10^6
=1.23*10^6
