Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by
. We are given the perimeter of the pool along with the width.


From here, all we have to do is plug back into the original formula:

Which can be further simplified as:


From here, all we have to do is add 70 to both sides of the equation and divide by four:


To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:




And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.
Answer:
A = $56,740
Step-by-step explanation:
Use the Compound Amount formula A = P(1 + r)^t. Substitute 0.05 for r and $40,000 for P:
A = $40,000(1 + 0.05)^6
A = $56,740.26, or, rounded off to the nearest dollar,
A = $56,740
Answer:
15
Step-by-step explanation:
3x - 2y = ?
3(7) - 2(3) = ?
21 - 6 = ?
= 15
All you have to do is substitute the given values & follow the order of operations! Best of luck.
Answer:
x=7 (if your teacher cares it could + or - 7)
Step-by-step explanation:
Okay, since it's a 90 degree triangle you can use the Pythagorean theorem
( a^2 + b^2 = c^2)
Since it's an isosceles triangle the other side is x because it's the same value.
x^2 + x^2= (7
)^2
Add the left side
2x^2= 7^2 +
^2 roots and square roots cancel each other out
So -> 2x^2= 49 x 2 =98
just solve for x.
x^2 = 98/2
x^2= 49
Square root both sides
x= 7
Given:
The inequality is

To find:
The correct representations of the given inequality.
Solution:
We have,

Using distributive property, we get


Therefore, the correct option is C.
Isolate variable terms.


It means, the value of x is greater than 5.
Since 5 is not included in the solution set, therefore, there is an open circle at 5.
So, the graphical represents of the solution is a A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Therefore, the correct option is D.