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makkiz [27]
3 years ago
8

Isosceles triangle $ABE$ of area 100 square inches is cut by $\overline{CD}$ into an isosceles trapezoid and a smaller isosceles

triangle. The area of the trapezoid is 75 square inches. If the altitude of triangle $ABE$ from $A$ is 20 inches, what is the number of inches in the length of $\overline{CD}$ ?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0

Answer:

5 inches

Step-by-step explanation:

See attachment for explanation.

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Although not so common now, consider a phone plan that does not have unlimited texting. Your base plan costs you $30 a month and
german

Answer:

The bill will be $26070.

Step-by-step explanation:

Your base plan costs you $30 a month

And each text sent or received is only 12 cents or $0.12.

Let the messages sent be = x

So, cost for messages become = 0.12x

Let total bill cost be = y

Now, total bill will comprise of monthly plan charges plus message charges.

So, equation forms:

y=30+0.12x

Now, given is that In one month 217,000 messages were sent between two brothers in Philadelphia.

So, their approximate bill will be :

y=30+0.12(217000)

=>y=30+26040

=> y = 26070

Therefore, bill will be $26070.

5 0
3 years ago
A hose fills a hot tub at a rate of 2.09 gallons per minute. How many hours will it take to fill a 327 gallon hot tub?
enyata [817]

Answer:

2.60 hours

Step-by-step explanation:

A hose fills a hot tub at a rate of ,

2.09 gallons ⇒ 1 minute

Now we have to find the time which takes to fill a 327 gallon hot tub.

For that, let the unknown time be x.

So,

2.09 gallons ⇒ 1 minute

327 gallon    ⇒  x

Use cross multiplication to find the value of x.

2.09 x  =  327 × 1

2.09x   = 327

x   = 327 ÷ 2.09

x   = 156.45 min

Therefore, it takes 156.45 minutes.

But the question is asked for hours.

So,

Let us solve now.

156.45 ÷ 60 = 2.60 hours

Let me know if you have any other questions :-)

7 0
2 years ago
Read 2 more answers
What value, written as a decimal, should lena use as the common ratio? 1.0 1.5 2.5 2.0
mariarad [96]

The Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0

According to the question,

1.0  1.5  2.5  2.0

a = 1.0

r = 1.5/1 = 1.5

r = 2.5/1.5 = 1.6667

r = 2/2.5 = 0.8

common ratio is different, so given sequence is not geometric sequence.

Hence,  the Lena has no common ratio for the sequence 1.0 1.5 2.5 2.0.

Learn more about common ratio here

brainly.com/question/17137226

#SPJ4

6 0
2 years ago
What percent represents the part of the model shaded green. A.60% B.62.5%. C.66.7% D.75%
VLD [36.1K]

Answer:

60%

Step-by-step explanation:

3/5 = 6/10 = 60%

4 0
3 years ago
Read 2 more answers
Kate made a box to hold her jewelry collection. She used 42 inches of wood to build the sides of the box. If the box was 9 Inche
Vladimir [108]
Assuming that the sides of the box are square (having 90° angles on all four corners), then it should be relatively easy for us to find the length of the box, given the perimeter and the length of one side.
We know the length of all sides combined is 42 inches, and that the length of one side is 9 inches. With a rectangular prism, the length of one side is the same as the length of the opposite side, so there are two sides that measure 9 inches.
All we need to do to find the measure of both the other sides' lengths is subtract the known lengths from the total length.

9 + 9 = 18

42 - 18 = 24

So the rest of the side lengths added together is 24 inches.
There are two sides left, so all we have to do is divide by 2 to find the length of the box.

24 / 2 = 12

The length of Kate's jewelry box is 12 inches.
Hope that helped =)
3 0
3 years ago
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