Answer:
h = 4.5 inches
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) h
We know A b1 and b2
20.25 = 1/2 (5+4)*h
20.25 = 9/2 h
Multiply each side by 2/9 to isolate h
2/9 * 20.25 = 2/9 *9/2 h
4.5 =h
Answer:
Answer:
d--22→ 28
d→ 50
Step-by-step explanation:
Let d dollars be the initial amount in your bank account.
We have been given that you spent $22, so the amount left after spending $22 will be: .
We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.
We can represent this information in an equation as:
Therefore, the inequality represents the initial amount of money you had.
Now let us solve for d by adding 22 to both sides of our inequality.
Therefore, initially you had at least $50.
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Step-by-step explanation:
brain less
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is
inches
Step-by-step explanation:
Given
Area of the square of design = 
First we find the roots of equation 
The roots of the quadratic equation
are given by

where 






That is, the factors of the polynomial
are
and
.
So, Area of the square design =
= 
Area of a square = Length^2
Thus, the length of the sign is
inches
An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:
A) 
which is impossible
B) 
which is an equality
C) 
which has a unique solution
D) 
which has a unique solution