Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying
Answer:
None of them is true Please mark brailiest
Step-by-step explanation:
We know that
[<span>the area of the rectangle]=L*W
L=1/3 yd
W=2/3 yd
</span>[the area of the rectangle]=1/3*2/3---------> 2/9 yd²
the answer is 2/9 yd²
Answer: 33.13 in
Step-by-step explanation:
First, let's start with the perimeter of the semicircles.
Since there are two, it is easier to do because the perimeter of the two halves will add to one full circle; so we can just calculate without having to halve anything.
The formula for the perimeter (aka circumference) of a circle is 2πr
Plug the radius into the equation to get 2π4, or 8π
8π ≈ 25.13
The perimeter of the rectangle is 6(4) = 24.
We now have to subtract the diameters of the circles, as they are not on the outside of the figure and won't be counted in the total perimeter. From the 24, we subtract the two diameters, or 16 in.
24 - 16 = 8
The total perimeter then comes out to be 25.13 + 8, or 33.13 in