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2 years ago

The circle below is centered at the point (4,3) and has a radius of length 5.

Mathematics

1 answer:

Lilit [14]2 years ago

4 0

Answer:

B. (x-4)^2 + (y - 3)^2 = 5^2

Step-by-step explanation:

The equation for a circle is given by

(x-h)^2 + (y-k) ^2 = r^2

where (h,k) is the center and r is the radius

We have a center of (4,3) and a radius of 5

(x-4)^2 + (y-3) ^2 = 5^2

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The Tran family and the Green family each used their sprinklers last summer. The water output rate for the Tran family's sprinkl

ser-zykov [4K]

Answer:

Tran family's sprinkler was used for 20 hours

Green's family's sprinkler was used for 30 hours

Step-by-step explanation:

Let the hours for which Tran family's sprinkler used is x hours

water output rate for the Tran family's sprinkler = 35L per hour

water output from Tran family's sprinkler in x hours = 35*x L = 35x

Let the hours for which Green family's sprinkler used is y hours

water output rate for the Green family's sprinkler = 40L per hour

water output from Green family's sprinkler in x hours = 40*y L = 40y

Given

The families used their sprinklers for a combined total of 50 hours

thus

x + y = 50 -------------------equation 1

y = 50-x

total water output of 1900L

35x+40y = 1900 -------------------equation 1

using y = 50-x in equation 2, we have

35x + 40(50-x) = 1900

35x + 2000 - 40x = 1900

=> -5x = 1900 - 2000 = -100

=> x = -100/-5 = 20

y = 50-20 = 30

Thus,

Tran family's sprinkler was used for 20 hours

Green's family's sprinkler was used for 30 hours

4 0

2 years ago

Can anyone help me on this please?

rjkz [21]

$\dfrac{4a^3b^2+2a^2b^2+3ab}{ab}=\dfrac{4a^3b^2}{ab}+\dfrac{2a^2b^2}{ab}+\dfrac{3ab}{ab}=4a^2b+2ab+3$

8 0

2 years ago

At a local department store, jeans are typically priced at $15. Due to a special, the jeans are reduced to 80% of their original

vodomira [7]

Answer:the price of jeans now is $12

Step-by-step explanation:

Let x represent the current price of the jeans. At the local department store, jeans are typically priced at $15. It means that the original price of the jeans is $15 .

Due to a special, the jeans are reduced to 80% of their original price. This means that the original price was reduced by 20%. Therefore, the current price, x would be

x = 15 - (20/100 × 15) = 15 - 3

x = $12

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2 years ago

Mark can remember only the first 4 digits of his friend's phone number. He also knows that the number has 7 digits and that the

denis-greek [22]

Answer:

<em>19800 seconds, or 330 minutes, or 5 hours + 30 minutes</em>

Step-by-step explanation:

<u>Number Permutations</u>

We know the phone number has 7 digits, 4 of which are known by Mark. This leaves him 3 digits to guess with. We also know the last one is not zero. The number can be represented as

XXY

Where X can be any digit from 0 to 9 and Y can be any digit from 1 to 9. The first two can be combined in 10x10 ways, and the last one can be of 9 ways, this gives us 10x10x9 = 900 possible permutations.

If each possible number takes him 22 seconds, every possibility will need

22x900=19800 seconds, or 330 minutes, or 5 hours + 30 minutes

3 0

2 years ago

Math please help !!!!!

bixtya [17]

Answer:

hope it helped

Step-by-step explanation:

2nd one is the answer

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2 years ago