Hi there! :)
Find the perimeter by solving for y.
We know that a rectangle contains two pairs of parallel and congruent sides, therefore:
5y - 1 = 2y + 8
We can solve for y using this expression. Begin by subtracting 2y from both sides:
5y - 2y - 1 = 2y - 2y + 8
3y - 1 = 8
Add 1 to both sides:
3y - 1 + 1 = 8 + 1
3y = 9
Divide both sides by 3:
y = 3
Recall that the perimeter of a rectangle is:
P = 2l + 2w
Plug in the given expressions for the side lengths to find one equation:
P = 2(5y - 1) + 2(y - 1)
Simplify by distribution:
P = 10y - 2 + 2y - 2
Combine like terms:
P = 12y - 4
Plug in the solved value of y into this equation:
P = 12(3) - 4
P = 36 - 4
P = 32 cm.
Hello!
The length of side BC can be found by using the Law of Sines. This law states,
a / sin A = b / sin B = c / sin C.
Given:
Angle A = 51.2 degrees
Angle B = 60.3 degrees
Side AC (or B) = 21 cm
Side BC (or A) = ? cm
Let's plug in these values into the formula to find the missing side length.
a / sin (51.2) = 21 / sin (60.3)
a / sin (51.2) = 24.1759... (multiply both sides by sin(51.2)
a = 24.1759 · sin (51.2)
a = 18.841...
18.841 can be rounded to 19.
Therefore, the length of side BC is equal to 19 centimeters.
<span><span>16<span>x^4</span></span>+<span>40<span>x^3</span></span></span>−<span>24<span>x^<span>2
That is it</span></span></span>
Answer:
12 is 3/4 of what number? You need to divide by the top and multiply by the bottom. 12 divided by 3 is 4, and 4 times 4 is 16.
The answer is A because 5 x 3/8 and 15 x 1/8 both equal 15/8.
