Answer:
l = 16 cm
Step-by-step explanation:
Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".
The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.
We can substitute 60 for P and w/2 + 9 for l.
- 2(w/2 + 9) + 2w = 60
- 2w/2 + 18 + 2w = 60
- w + 18 + 2w = 60
- 3w + 18 = 60
- 3w = 42
- w = 14
Substitute w = 14 into the equation for length l.
- l = w/2 + 9
- l = 14/2 + 9
- l = 16
The length of the rectangle is 16 cm.
Answer:
Step-by-step explanation:
n = 25
33+n = 33+25 = 58
n/5 = 25/5 = 5
Answer:
Three circular arcs of radius $5$ units bound the region shown. Arcs $AB$ and $AD$ are quarter-circles, and arc $BCD$ is a semicircle.
Step-by-step explanation:
Step-by-step explanation:
We have
Let's factor the denomiator first,
the denomaitor is a perfect square so we get
Now, we must think of two fractions that
We use a perfect square term for one fraction, then a linear one for the next, because if we set both of the denomiator to the same factor, we would get a inconsistent system.
So right now, we have
so that means that a is
So our equation is
Answer:
A, 8
Step-by-step explanation:
Use the equation 15+4x=47
Subtract 15 from both sides to get
4x=32
divide to get 8
x=8
