Answer:
Area = 30 in.
<h3>
Step-by-step explanation:</h3>
the formula for an area of a trapezoid is A = (a+b)/2 × h
a = base (or bottom)
b = 2nd base (or top)
h = height
set up your equation as A = (10 + 5)/2 × 4
A = 15/2 × 4
A = 7.5 × 4
A = 30
The area of the trapezoid is 30 in.
Answer:
D. 16 times.
Step-by-step explanation:
Volume of a cylinder = π r^2 h
π r^2 h = 432
Now if the diameter is reduced by 1/4 then the radius is reduced by a fourth also.
Let the new height be H, then:
432 = π (r/4)^2 H
so π r^2 h = π(r/4)^2 H
r^2 h = r^2 H / 16
h = H/16
H = 16h.
<u>Answer:</u>
8
<u>Step-by-step explanation:</u>
We are given the following expression and we are to find the simplest form of this expression:
First of all, we will factor the coefficient:
Rewriting it as:
Applying the exponent rule 
to get:
If we place what the husband earns as h and what the wife earns as w, we can begin...
w + h = 110000
but w = 2h - 16000
We can turn it into..
2h - 16000 + h = 110000
Which we can then combine into..
3h - 16000 = 110000
Add 16000 and..
3h = 126000
Divide by three...
h = 42000
(nice)
The husband earns 42,000$ a year
Bonus: The wife then earns 68,000$
42,000 (or h) + 68,000 (or w) = 110,000
Because this is the original equation, we are correct.
0.25x+97
Factoring:
Convert 0.25 to a fraction:
1/4x+97
Factor out 1/4:
Solution:
1/4(x+388) or 0.25(x+388)
