Answer:
A = 5x + 12 (See explanation!)
Step-by-step explanation:
So, this "polygon" is really just two rectangles combined! With that in mind, remember that the area of a rectangle is base*height. Now, apply that to the problem. We know that the total length of the bottom base is 7, and 5 is the length of the second rectangle's base, so the 1st rectangle's base must be 7 - 5 = 2. The area of the 1st rectangle is then 6*2 = 12. The second rectangle's area is 5*x. So, if the area of the polygon is the sum of the two rectangles' areas, the expression you could use is:
5*x + 6* 2 = A
Simplify/Rewrite:
A = 5x + 12
(A is area, x is the unknown length in the diagram)
Hope this helps!
Answer:
3.7
Step-by-step explanation:
X-length
37-height
10-width
37 divided by 10=3.7
Answer:
|x - 93| = 1.6
Step-by-step explanation:
Let x represent the minimum and maximum distance between the earth and the sun in million miles.
The average distance between the earth and sun is 93 million miles and can vary by approximately 1.6 million miles. Hence:
x = 93 + 1.6 or x = 93 - 1.6
x - 93 = 1.6 or x - 93 = -1.6
x - 93 = 16 or -(x - 93) = 1.6
But |x - 93| = x - 93 or -(x - 93). Therefore:
|x - 93| = 1.6
22.5 miles
You would create a proportion based on the given information, then cross multiply and solve for the number of miles 1 gallon of gas can go.
