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emmasim [6.3K]
3 years ago
6

B. Noah writes the equation 3 (x+7)=57 to represent the situation. DO YOU agree with him? Explain your answer.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0

Answer:

Yes , i agree with Noah that the equation would be 3(x + 7) = 57

Step-by-step explanation:

P.S - The exact question is -

To find  - Noah writes the equation 3 (x+7)=57 to represent the situation.

               DO YOU agree with him? Explain your answer.

Proof -

Yes , i agree with Noah

Because in the figure we can see that there is x written 3 times and 7 written 3 time and whole the values is equal to 57 .

Because 57 is divided into x 7 x 7 x 7

∴ we can write it as

3 times x + 3 times 7 = 57

⇒3(x) + 3(7) = 57

⇒3(x+7) = 57

Ans Noah give the same equation 3 (x+7)=57

So, I agree with Noah.

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What is cos (x)?<br><br> A) 48/58<br><br> B) 58/48<br><br> C) 26/58<br><br> D) 58/26
arsen [322]
Remark
In order to solve for the Cos(x), you need to find the missing side. You can do that by finding the Sin(x) first and then the Cos of x or you can just use the Pythagorean theorem. I'm going to do the latter.

Formula
a^2 + b^2 = c^2

Givens
a = ???
b = 32
c = 58

Sub and solve
a^2 = ???
b^2 = 1024
c^2 = 3364

a^2 + 32^2 = 58^2
1024 + a^2 = 3364  Subtract 1024 from both sides.
a^2 = 3364 - 1024
a^2 = 2340              Take the square root of both sides.
sqrt(a^2) = sqrt(2340) Break a into its prime factors.
a = sqrt(2 * 2 * 5 * 3 * 3 * 13)

Rule
For every pair of equal factors, one can be brought outside the root sign and the other is discarded.
a = 2 * 3 * sqrt(5*13)
a = 6 sqrt(65)

The cos of an angle = opposite / hypotenuse.
Cos(x) = 6*sqrt(65) / 58 <<<<< This should be the answer
If you are offered choices, you should list them

Another choice would be 6*8.0623 / 58 = 0.8340  <<<<< Answer



7 0
3 years ago
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