-28 = 3 + 8(h-9)
-28 = 3 + 8h - 72 (distributive property a(b-c) = ab - ac)
-28 = -69 + 8h (combining like terms ( 3 - 72))
41 = 8h (adding 69 on both sides to isolate 8h)
/8 /8 (dividing coefficient (8) on both sides to isolate h)
5.125 = h
Therefore h = 5.125
Answer:
The correct option is;
e. 2500
Step-by-step explanation:
The formula for sample size is given by the following formula;
At 95%, z = 1.96
ε = Margin of error = 0.02 = 2%
Finding the sample size, n, given only the margin of error is by the following formula;
Margin of error = 100/√n
Therefore, we have;
2 = 100/√n
√n = 100/2 = 50
n = 50² = 2500
Therefore, the correct option is e. 2500.
Answer:
0=0
Step-by-step explanation:
Simplifying
-5(x + -7) = 35 + -5x
Reorder the terms:
-5(-7 + x) = 35 + -5x
(-7 * -5 + x * -5) = 35 + -5x
(35 + -5x) = 35 + -5x
Add '-35' to each side of the equation.
35 + -35 + -5x = 35 + -35 + -5x
Combine like terms: 35 + -35 = 0
0 + -5x = 35 + -35 + -5x
-5x = 35 + -35 + -5x
Combine like terms: 35 + -35 = 0
-5x = 0 + -5x
-5x = -5x
Add '5x' to each side of the equation.
-5x + 5x = -5x + 5x
Combine like terms: -5x + 5x = 0
0 = -5x + 5x
Combine like terms: -5x + 5x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Answer:2/pi
Step-by-step explanation:
First, name the points. Top Left will be A, Top Right will be B, Bottom Right will be C, and Bottom Left will be D. Now, the area of ABCD is 4. Then, we have to find the area of the circle. The center to the midpoint of AB is 1. The length of the midpoint of AB to B is 1. So, using the Pythagorean Theorem, it will be 1^2 + 1^2 = 2, then it will be sqrt2. Finding the area of the circle will be easy now that we have the radius. sqrt2*sqrt2*pi = 2pi. So, it will be 4/2pi, and simplified, it will be 2/pi.
Answer:
x = 10
Explanation:
A square is a quadrilateral in which all sides are equal.
We are given that:
ABCD is a square
AB = 5x - 10
BC = 2x + 20
Since we're talking about a square, therefore:
AB = BC
5x - 10 = 2x + 20
5x - 2x = 20 + 10
3x = 30
x = 30/3
x = 10
Now, we can check our solution:
AB = 5(10) - 10 = 40 units
BC = 2(10) + 20 = 40 units
We can see that both sides are equal
Hope this helps :)
