Answer:
y = 6.5 units
Step-by-step explanation:
Let L be the length of sides of the square.
Given the following data;
Perimeter of square = 8y - 12
Area of square = 100 square units
To find the value of y;
Area of a square = L²
Substituting into the formula, we have;
100 = L²
L = √100
L = 10 units
Mathematically, the perimeter of a square is given by the formula;
Perimeter of a square = 4L
Substituting into the formula, we have;
8y - 12 = 4*10
8y - 12 = 40
8y = 40 + 12
8y = 52
y = 52/8
y = 6.5 units
9514 1404 393
Answer:
shaded/square = (50π cm²)/(400 cm²) = π/8
Step-by-step explanation:
The quarter circle has area ...
A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²
The half-circle has area ...
A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²
Then the area of the shaded portion is ...
shaded = 100π cm² -50π cm² = 50π cm²
__
The area of the square is ...
A = s² = (20 cm)² = 400 cm²
Then the ratio of interest is ...
shaded/square = (50π cm²)/(400 cm²) = π/8
Answer:
28/165
Step-by-step explanation:
You always use the order of operations, and the order of operations says to solve parentheses first, so you would solve 5/9 - 1/6, and get 7/18.
You would do exponents next, if there were any, but there is not, so you move on to the next operation(s).
The next operations are multiplication and division. From left to right, multiplication is first, so you solve 8/11 x 7/18 and get 28/99. Then, there is a division problem to solve. The problem is 28/99 ÷ 15/9. If you solve that correctly, you will get the answer 28/165.
The next step would be to simplify 28/165, but it cannot be simplified, so you are left with the answer 28/165.
Prove
m∠5+m∠2+m∠6=180°
we have that
m∠1+m∠2+m∠3=180° equation I
m∠1=m∠5 -------- > in<span>ternal alternate angles equation 2
</span>
and
m∠6=m∠3-------- > internal alternate angles equation 3
<span>I substitute equation 2 and equation 3 in equation I</span>
m∠1+m∠2+m∠3=180°-------- > m∠5+m∠2+m∠6=180°------- > is ok
Answer:
the answer is 2
Step-by-step explanation:
0=4x-8
-4x=-8
x=2
