What is the base of the trapezoid with an area of 150 a height of 10 and a base of 14?

2 answers:

3 0

The formula for the area of a trapezoid is:

A= (a+b)/2*h

A=150
h=10
b=14
a=?

So we need to solve for a. Let's plug in the values that we do know...

A= (a+b)/2*h
150=(a+14)/2*10
150=(a/2+14/2)*10
150=(a/2+7)*10
Divide both sides by 10
15=a/2+7
subtract 7 from both sides
8=a/2
multiply both sides by 2
16=a

The other base is 16

DiKsa [7]3 years ago

3 0

A is the area of a trapezoid
a and b are the lengths of its two bases
h is the height
Let x be the shorter base.
Then the longer base is x+2
Substituting the following into the formula
a = x

b = x+2
A = 150
h = 10
we have

Solving for x, we have
So the shorter one is 14 meters long, the longer one is 16 meters long
I hope i helped you :-0

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The scatter plot shows the study times and test scores for a number of students. How long did the person who scored 81 study?

Free_Kalibri [48]

Answer: Option A

50 minutes

Step-by-step explanation:

Observe in the diagram that the vertical axis represents the score obtained and the horizontal axis represents the study time.

To find out how many hours the person with a score of 81 studied, locate the point that is at a vertical distance of 81.

Now draw a vertical line from this point to the horizontal axis. Note that the vertical line traced intercepts the vertical axis at x= 50

Then the person who got a score of 81 studied 50 minutes

The answer is the option A

6 0