What is the area of the figure? Answer in decimal form to the nearest hundredth.

A trapezoid has a base of 7 and one-half meters, height of 5.5 meters, and top side length of 5.5 meters.

35.75 meters squared

Step-by-step explanation:

The area of a trapezoid is denoted by: , where b_1 and b_2 are the bases and h is the height.

Here, the two bases are 7 1/2 and 5.5 meters and the height is 5.5. So, just plug in the values:

7 1/2 is the same as 7.5:

Thus, the area is 35.75 meters squared.

Hope this helps!

35.75 m²

Step-by-step explanation:

Area of trapezoid

= ½ × (sum of parallel sides) × h

= ½ (7.5 + 5.5) × 5.5

= 35.75

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.