Angles c and e are vertical
Answer:
Twelve and one fourth feet
Step-by-step explanation:
9 and 3/4 feet =9.75
2 and 2/4 feet =2.50
9.75 + 2.50
= 12.25/12 and 1/4 feet
Answer:
-6 ,
Step-by-step explanation:
24 divided by 4 = 6
The area of a rectangle is given by the multiplication of its dimensions:

In this case, we have an exact value for the area, and two variable expressions for width and length. Let's replace the formula above with what we're given:

If you expand the right hand side, you have

And if you move all terms to the right hand side, this becomes

This is a quadratic equation, since it is in the form
, where 
If you plug these values in the generic formula

you get

Let's see which dimensions they yield:

But the dimensions of a rectangle can't be negative, so we can't accept this answer.
The other solution yields

So these are the dimensions of the rectangle
Answer:
Step-by-step explanation:
21. The exponents cannot be added in the product having bases 12 and 11 because the bases are different. They can only be added if the bases are same.
22. a) (3¹)⁵
b) ⁵√(3²⁵)
c) (3⁵)³ ÷ (3⁵)²
23. The distance from the Earth to moon is 22⁴ miles
The distance from the Earth to Neptune is 22⁷ miles
The distance from the Earth to Neptune is greater by = 22⁷/22⁴ = 22⁷⁻⁴= 22³miles.
It is greater by three times
24. 8³. 8⁻⁵= 8³⁻⁵= 8⁻²= 1/8²= 1/64
1/64 ∠ 1
The student is not correct as 1/64 is less than 1.