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Vadim26 [7]
3 years ago
11

I need to know the answers ASAP

Mathematics
1 answer:
Rzqust [24]3 years ago
5 0
R = 6√2

You can use the Pythagorean theorem to solve this. 
17² + b² = 19²
289 + b² = 361
b² = 72
b = √72
b = 6√2 or 8.49

Hope this helps! :)
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Given n(A) = 1300, n(A U B) = 2290, and n(A n B) = 360, find n(B).
Stels [109]

Answer:

n(B) = 1350

Step-by-step explanation:

Using Venn sets, we have that:

n(A \cup B) = n(A) + n(B) - n(A \cap B)

Three values are given in the exercise.

The other is n(B), which we have to find. So

n(A \cup B) = n(A) + n(B) - n(A \cap B)

2290 = 1300 + n(B) - 360

940 + n(B) = 2290

n(B) = 2290 - 940 = 1350

So

n(B) = 1350

3 0
3 years ago
Jacqueline practiced drums four times last week for sessions of 40 minutes, 35 minutes, 45 minutes, and 30 minutes. Cassie pract
charle [14.2K]

Answer:

Jacqueline = 150 minutes

Cassie = 125 minutes

The answer would be 2. (The difference in length between Cassie’s longest and shortest practice sessions was greater than the difference in length between Jacqueline’s longest and shortest sessions.)

Step-by-step explanation: Cassies longest session was 50 minutes. her shortest session was for 15 minutes and they are 45 minutes apart. Jacquelines longest session was 45 minutes and her sgortest was 30 minutes they are onlu 15 minutes away from eachother so the second answer is correct.

8 0
2 years ago
Read 2 more answers
How much must be deposited today into the following account in order to have $ 50,000 in 6 years for a down payment on a​ house?
Charra [1.4K]

Answer:

The Amount initially deposited is $37046.64

Step-by-step explanation:

A = p (1+r/n)^(nt)

A= final amount= $5000

P = principal amount=

r = rate = 0.05

n = number of times compounded

= 6*12

= 48

t = years= 6

A = p (1+r/n)^(nt)

50000 = p (1+0.05/48)^(48*6)

50000= p(1.001041667)^288

50000= p (1.34965)

50000/1.34965= p

37046.64 = p

The Amount initially deposited is $37046.64

3 0
3 years ago
The next model of a sports car will cost 4.9% more than the current model. The current model costs $41,000. How much will the pr
Luba_88 [7]

9514 1404 393

Answer:

  • $2009
  • $43,009

Step-by-step explanation:

The price increase will be ...

  4.9% × $41,000 = $2,009

__

The new price will be ...

  $41,000 +2,009 = $43,009

5 0
3 years ago
Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to
Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}

Hence, it would take 8 hours if all three paint together.

3 0
3 years ago
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