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3 years ago

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MODELING WITH MATHEMATICS The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use th

e Pythagorean Theorem to approximate
the distance between the rods where they meet the backboard. Round your answer to the nearest hundredth

1 answer:

GREYUIT [131]3 years ago

7 0

I can’t see the numbers. I want to help but can’t see the numbers.

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Kate sets a goal to walk 3 miles every day for a year. How many miles more or less than 1000 miles will she walk in the year

Law Incorporation [45]

Answer:

95

Step-by-step explanation:

365x3=1095

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3 years ago

31. If x = 5, which number sentence is true?

Katarina [22]

Answer:

D

Step-by-step explanation:

D. 2(5) > 7

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Find the remainder when 1 + 2 + 2^2 + 2^3 + ... + 2^100 is divided by 7.<br><br> Thanks in advance!

Firlakuza [10]

Answer:

3.

Step-by-step explanation:

This is a geometric series so the sum is:

a1 * r^n - 1 / (r - 1)

= 1 * (2^101 -1) / (2-1)

= 2^101 - 1.

Find the remainder when 2^101 is divided by 7:

Note that 101 = 14*7 + 3 so

2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.

By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.

So 2^101 mod 7 = (8 * 4^7) mod 7

= (8 * 4) mod 7

= 32 mod 7

= 4 = the remainder when 2^101 is divided by 7.

So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..

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3 years ago

Make x the subject formula 5x=t

g100num [7]

Answer:

x=t/5

Step-by-step explanation:

5x=t

multiply both sides by 5 to make x the subject

x=t/5

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Yesterday, there were 17 problems assigned for math homework. Monica got 17 out of 17 problems correct. What percentage did Moni

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100%

Step-by-step explanation:

17/17 is 100

You can convert fractions buy using a ratio or just simply think of it as 100/100.

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3 years ago