Which shows the expanded form of the number 54.98?

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the

denis-greek [22]

From your information
Let shorter base = h +3 and longer base = h + 7 where h is the height.
Formula for area of a trapezoid is $A = \frac{1}{2} (b_1 +b_2)h
$
Substituting into the formula we get the following equation.
$150= \frac{1}{2}(h+3+h+7)h$
$150 = \frac{1}{2} (2h+10)h$
$150=h^2+5h$
This is a quadratic equation which I will solve by factoring.
$h^2+5h-150 =0$
$(h-10)(h+15)=0$
$h-10= 0 ..... h=10$ this is a useable answer (it's positive and length must be nonnegative)
$h+15=0 .... h=-15$ can't use this answer
so shorter base = 10 + 3 = 13 yards and longer base = 10 + 7 = 17 yards

7 0

3 years ago

A spinner Has five equals sectors color red, yellow, green, blue, orange. what is the probability of landing on a yellow sector

andre [41]

Answer:

1/25 or .04

Step-by-step explanation:

probability of landing on a yellow sector first = 1/5

probability of landing on a blue sector=1/5

and then you multiply the two. (1/5)(1/5)=1/25

7 0

3 years ago

Lisa drove 240 miles, then increased her speed by 20 miles per hour for 540 miles. If the second part of the drive took 3 hours

Sever21 [200]

Let u be speed while Lisa drove 240 miles and t be the time in completing 240 miles.

We have been given that Lisa increased her speed 20 mph than initial speed over next 540 miles. So her speed on next 540 miles will be $u+20$ mph.

Further more we are given that she took 3 hours more to complete the next 540 miles of the trip than she took in completing initial 240 miles. So she took $(t+3)$ hours in completing next 540 miles.