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3 years ago

ABC is similar to DEF. Find x.

Mathematics

1 answer:

san4es73 [151]3 years ago

3 0

<h3>Answer: 25</h3>

Through using the pythagorean theorem, you should find the hypotenuse of the smaller triangle to be 10 units. Therefore, the perimeter of the smaller triangle is 6+8+10 = 24 units.

The perimeter of the larger triangle is 60 units. The ratio here is 24:60 = 2:5

Meaning that the larger perimeter is 5/2 = 2.5 times that of the smaller.

We apply this scale factor 2.5 to the smaller hypotenuse 10 to jump to 2.5*10 = 25, which is the length of the larger hypotenuse.

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Luke has 48 books. He puts 7 books in a box. How many boxes can he fill? Explain how you interpreted the remainder

Damm [24]

He can fill 6 boxes. 48 / 7 = 6R6.

I interpreted the remainder by removing the remainder to get the answer.

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3 years ago

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Dafna11 [192]

Answer:

Option C. 4(20-16y): Each side measures 20-16y units.

Step-by-step explanation:

we know that

The perimeter of a square is equal to

$P=4b$

where

b is the length side of the square

we have

$P=(80-64y)\ units$

substitute the given value in the formula

$(80-64y)=4b$

solve for b

Divide by 4 both sides

$(20-16y)=b$

Rewrite the expression

$b=(20-16y)\ units$

<em>Alternative Method</em>

we have

$P=(80-64y)\ units$

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3 years ago

All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is 0.75

oksano4ka [1.4K]

Answer: There is a probability of 0.05 that there is neither truck is available.

Step-by-step explanation:

Since we have given that

Probability that the first truck is available = 0.75

Probability that the second truck is available = 0.50

Probability that both trucks are available = 0.30

So, probability that either first truck or second truck is available is given by

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.75+0.50-0.30\\\\P(A\cup B)=0.95$

We need to find the probability that neither truck is available.

so, P(A∪B)'=1-P(A∪B)

$P(A\cup B)'=1-0.95=0.05$

Hence, there is a probability of 0.05 that there is neither truck is available.

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3 years ago

all unicorns on rainbow island are either green or yellow. every time the clock strikes midnight the unicorns change their color

Oksi-84 [34.3K]

77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).

You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.

e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?

To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.

In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.

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3 years ago

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lesya692 [45]

Answer:

Step-by-step explanation:

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