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Lelu [443]
2 years ago
13

After triangle ace is dilated by a factor of 5, it has an area of 100 square inches. What was its area before dilation?

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:

20in^2

Step-by-step explanation:

Since you multiply the original area of the triangle by the scale factor to get the new area, you can find the original area (before dilation) by dividing the dilated triangle's area by the scale factor. Since 100 is the area of the dilated triangle, and 5 is your scale factor, you do 100/5 to get the area of the triangle before it was dilated.

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How many numbers from 10 to 99 have a tens place exactly 3 times greater than their ones place? PLZZZ answer this question . I w
patriot [66]

Answer:

45

Step-by-step explanation:

2 digit number starts from 10 ends at 99

between 10 and 19 there is only one number whose tens digit is more than ones digit.

that is 10

between 20 and 29 there are two numbers

20 and 21

like the same

between 30 and 39 there are 3 numbers

10–19. 1

20–29. 2

30–39. 3

40–49. 4

50–59. 5

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80–89. 8

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sum of first n natural numbers is n(n+1)/2

9(9+1)/2=45

4 0
2 years ago
Circle M has a radius of 7.0 cm. The shortest distance between P and Q on the
Lorico [155]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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While at a carnival, Andrew comes across a game that involves rolling a die. According to the game's rules, if the number rolled
Reptile [31]

Answer:

he can expect to lose 0.5$

Step-by-step explanation:

To solve this problem we must calculate the expected value of the game.

If x is a discrete random variable that represents the gain obtained when rolling a dice, then the expected value E is:

E =\sum xP (x)

When throwing a dice the possible values are:

x: 1→ -$9;  2→ $4;  3→ -$9;  4→ $8;  5→ -$9;  6→ $12

The probability of obtaining any of these numbers is:

p=\frac{1}{6}

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So the expected gain is:

E=-9*\frac{1}{6}-9*\frac{1}{6}-9*\frac{1}{6} + 4*\frac{1}{6} + 8*\frac{1}{6} + 12*\frac{1}{6}\\\\E =-27*\frac{1}{6} + 24*\frac{1}{6}\\\\E=-3*\frac{1}{6}\\\\E=-$0.5

4 0
2 years ago
A combination washer/dryer costs $1,179. New parts for this washer/dryer cost $211, labor to repair it costs $553, and shipping
Keith_Richards [23]
The better deal is the Full Warranty, by approximately 174 dollars. To solve the cost of the full warranty, simply multiply 30 percent times the cost of the washer/dryer.30 x 1,179 = 353.70. You do not need to add anything to this because the warranty covers the extra costs. To solve for the cost of the limited warranty, multiply 14 percent times the cost of the washer/dryer, plus the cost of the new parts and the repair center costs (the warranty only covers the labor repair costs): (.14 x 1,179) + 211 + 152 --> 165.06 + 211 + 152 = 528.06. The full warranty is clearly cheaper. To figure out by how much, simply subtract the full warranty from the limited warranty: 528.06 - 353.70 = 174.36. To round to the nearest number, take off the decimal: 174. So that means your answer is D hope this helps.
3 0
2 years ago
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A furnace used 40% of the fuel in its tank in the month of March and then used 25% of the remaining fuel in the month of April.
gtnhenbr [62]
March: 240 * 0.4 = 96 used
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answer: 108 gallons left at the end of April
6 0
2 years ago
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