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Bezzdna [24]
3 years ago
8

The height of a trapezoid is 8 inches and it’s area is 96 inches. One base of the trapezoids is 6 inches longer than the other b

ase. What are the lengths of the bases? Explain how you found your answer
Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0
There is a common equation we use to find the Area of a trapezoid.
(a+b)h/2=A
Let's fill in what we know. We're not going to fill in any information about the bases.
(a+b)8/2=96
We can already tell that 8/2 will simplify to 4.
(a+b)4=96
Let's divide each side by 4.
a+b=24
Now, let's look at the information about the bases.
So, we will have this in terms of base a, since one base is longer than the other. This is how it'll look.
a +(a+6)=24
We can simplify that further.
2a+6=24
now subtract 6 from each side.
2a=18
Let's divide
9=a
So one side is 9, so the other one is 15. We should make sure everything makes sense by putting all the information in the formula to find area.
(9+15)8/2
24×4
96.
The lengths of the bases are 9 and 15 inches.

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(50 POINTS - WILL GIVE BRAINLIEST TO MOST HELPFUL ANSWER)
cricket20 [7]

Answer:

Part A:

x + y = 80

x + 20 = y

Part B:

Pam spends 30 minutes practicing math every day.

Part C:

It is not possible for Pam to have spent 60 minutes practicing dance because this means she must have practiced math for 40 minutes (60 - 20 = 40). This would total out to 100 minutes of total practice, not 80 minutes. Therefore, this is impossible.

Step-by-step explanation:

Part A:

"She spends 80 minutes every day practicing dance and math."

x + y = 80

"She dances for 20 minutes longer than she works on math."

x + 20 = y

Part B:

Solve for x:

x + 20 = y

Isolate variable x:

x = y - 20

Plug in this new value for the first equation:

y - 20 + y = 80

Combine like terms:

2y - 20 = 80

Isolate variable y:

2y = 100

y = 50

Plug in the new value of y into any equation:

x + 50 = 80

Isolate variable x:

x = 30

Part C:

x + 20 = y

x + 20 = 60

x = 40

x + y = 80

40 + 60 = 80

100 = 80

Impossible.

8 0
3 years ago
Read 2 more answers
PLS HELP WILL GIVE BRAINLIEST
frozen [14]

Answer:

  1. 3.5
  2. 2
  3. B
  4. A

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

3 0
3 years ago
Suppose you invest $400 at an annual interest rate 7.6% compounded continuously. How much will you have in the account after 1.5
goldfiish [28.3K]
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$400\\
r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\
t=years\to &1.5
\end{cases}
\\\\\\
A=400e^{0.076\cdot 1.5}\implies A=400e^{0.114}
3 0
3 years ago
What is the perimeter of the shape in units
Taya2010 [7]

Step-by-step explanation:

18 units

have a great day

5 0
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Dress:$35.99 tax:6.75%
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Answer:

38.14 but if rounded up it becomes 38.15

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