Answer:
area of the rectangle is 168 inch²
area of triangle:
→ * base * height
→ * 2 * 12
→ 12 inch²
area of left triangle is 12 inch² and right triangle is 12 inch²
Both triangle have same area; so total area of both: 2 * 12 = 24 inch²
Area of the trapezoid: area of the rectangle + area of two triangles
→ 168 inch² + 24 inch²
→ 192 inch²
<span>If an equation of a line in slope-intercept form (y=mx+b) has no x variable, this means that the slope is 0.</span>
Answer:
slope is 2
Step-by-step explanation:
Find two points that can be used.
(0,4) (2,8)
Use the slope formula and plug in the numbers
=2
Answer:
FV= $436.72
Step-by-step explanation:
Giving the following information:
Initial cost (PV)= $500
Decrease rate (d)= 7% per year
Number of periods (n)= 2 years
<u>To calculate the future value after 2 years, we need to use the following formula:</u>
FV= PV / (1 + d)^n
FV= 500 / (1.07^2)
FV= $436.72
Answer:
12
Step-by-step explanation:
Assuming that the shape of the playground is rectangular, we know that the area of a rectangle is length x width.
Let the length = x
width = x + 5
x(x + 5) = 204
x² + 5x = 204
x² + 5x - 204 = 0
(x + 17)(x - 12) = 0
x = -17 and x = 12
However, since x represents the length of the playground, length cannot be negative. The only value possible is x = 12.
Therefore, the playground has a length of 12 yd and a width of 12 + 5 = 17 yd.