Answer: Area of the floor or ceiling: Multiply the length by the width (10 feet x 12 ... feet (10 feet wide x 8 feet high) and the other is 96 square feet (12 feet x 8 feet). ... divide the total square footage of the floor by 9 (120 square feet / 9 ... To convert an area from square feet into square inches, simply multiply by 144.
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
f(g(-4)) = 13.
g(f(-4)) = -3.
Step-by-step explanation:
g(-4) = (-4)^2 + 3(-4) - 1
= 3.
so f(g(-4))
= f(3)
= 2(3) + 7
= 13.
f(-4) = 2(-4) + 7
= -1.
so g (f(-4))
= g(-1)
= (-1)^2 - 3 - 1
= -3.
Answer:
300 miles
Step-by-step explanation:
The distance equation is D = RT
Where
D is the distance
R is the rate
T is the time
<u>Mindy</u>
8 am to 1 pm = 5 hours
<u>Kelly</u>
8 am to 2 pm = 6 hours
Kelly's rate is 10 mph SLOWER than mindy, so if we let Mindy's rate be "m", so Kelly's rate will be " m - 10 "
Now using the distance equation, we can write:
Mindy >>> D = RT >>> D = 5m
Kelly >>> D = RT >>> D = 6(m-10) >>> D = 6m - 60
Since both the distances are equal, we can write:
5m = 6m - 60
m = 60
We want the distance, we know:
D = 5m
D = 5(60)
D = 300 miles
The distance is 300 miles
Answer:
Step-by-step explanation:
The surface area formula for pyramids is given by :
...(1)
We need to arrange the formula for l.
Take b to LHS,
![S-b=\dfrac{1}{2}Pl\\\\2(S-b)=Pl\ [\text{cross-multiplying}]\\\\l=\dfrac{2(S-b)}{P}](https://tex.z-dn.net/?f=S-b%3D%5Cdfrac%7B1%7D%7B2%7DPl%5C%5C%5C%5C2%28S-b%29%3DPl%5C%20%5B%5Ctext%7Bcross-multiplying%7D%5D%5C%5C%5C%5Cl%3D%5Cdfrac%7B2%28S-b%29%7D%7BP%7D)
So, the expression is 
for the slant height.
