Given:
Consider the dimensions of a rectangular prism are 4 in by 3 in by 10 in.
To find:
The length of the diagonal.
Solution:
Length of diagonal of a rectangular prism is:

Where l is length, b is breadth and h is height.
The dimensions of a rectangular prism are 4 in by 3 in by 10 in. So, the length of diagonal of the rectangular prism is:




Approximate the value to the nearest tenth.

Therefore, the length of diagonal of the rectangular prism is 11.2 in.
Answer:
x > -2
Step-by-step explanation:
First, you simplify both sides of the inequality by combining like terms


Then, you add 6x to both sides in order to isolate x (bring all the Xs to one side)


Lastly, you divide by 8 in order to cancel out 8x solve for x. Since 8 is not a negative number, you DO NOT flip the sign.


Your answer is c. i know this because this was the exact same question i did yesterday and i got 100%
Answer: Wherever the all graphs of the equations intersect, or cross each other, that is a solution to the system of equations.
Step-by-step explanation:
Answer:
The measurement of angle a is 42.5°
The measurement of angle b is 19.5°
Step-by-step explanation:
Angle a = a
Angle b = b
m < a + m < b = 62°
"m <" means "measurement of angle..."
m < a + m < b = 4m < a - 108°
Subtract m < a from both sides of the equation
m < b = 4m < a - 108° - m < a
Simplify
m < b = 3m < a - 108°
Substitute into original equation
3m < a - 108° + m < a = 62°
Add m < a + 3m < a
4m < a - 108° = 62°
Add 108° to both sides of the equation
4m < a = 170°
Divide both sides of the equation by 4
m < a = 42.5°
m < b = 62° - 42.5° = 19.5°
Hope this helps :)