Answer:
option-A

Step-by-step explanation:
we are given
divisor is

Dividend is
=x-2
so, we can use synthetic division
so, we can write our expression as

so,
option-A
Answer:
Step-by-step explanation:
Because 25% is the same as 1/4. We can do the same thing as if we were changing 1/4 into a whole 1/4·4=1. So 25%·4=1. So 150·4 is our answer. So 150·4=600. There are 600 gumballs in the machine. :D
Answer:
You use the facts about a 30, 60, 90 triangle.
Step-by-step explanation:
The angles in a triangle add up to 180.
90+30+x=180
120+x=180
x=60
This is a 30-60-90 right triangle.
The side opposite the 30 degree angle is a.
The side opposite the 90 degree angle (hypotenuse) is 2a.
The side opposite the 60 degree angle is a
We know the side opposite the 90 degree angle.
2a = 12
Divide by 2.
a=6
a is the side opposite the 30 degree angle (y)
Because we know a, we can find a
.
6
The square roots cancel, leaving 3.
6 times 3 is 18.
Therefore, the side opposite the 60 degree angle (x) is 18.
Answer:
3
Step-by-step explanation:
subtract 1 from 13 divide the number by 4
Answer:
The length is 8 inches and the width is 3 inches
Step-by-step explanation:
Let w represent the width.
The length can be represented by 2w + 2
Use the area formula, A = lw, and plug in the area and the expressions for the length and width:
A = lw
24 = (2w + 2)(w)
Simplify and solve for w:
24 = 2w² + 2w
2w² + 2w - 24
Divide everything by 2:
w² + w - 12
Factor:
(w + 4)(w - 3)
Set equal to 0 and solve for each factor:
w + 4 = 0
w = -4
w - 3 = 0
w = 3
Since the width cannot be negative, the width has to be 3.
Next, find the length by plugging in 3 as w:
2w + 2
2(3) + 2
= 8
So, the length is 8 inches and the width is 3 inches