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Virty [35]
2 years ago
8

Given three consecutive odd integers, what is the greatest number if triple of the sum of thrice the third one and twice the fir

st one is equal to 291? ( grid-in )​
Mathematics
1 answer:
Nostrana [21]2 years ago
8 0

Let n be the smallest of these integers. The other two are then n + 2 and n + 4.

"triple of the sum of thrice the third one and twice the first one is equal to 291" is a long-winded way of saying

3 (3 (n + 4) + 2n) = 291

Solve for n :

3 (3n + 12 + 2n) + 291

3 (5n + 12) = 291

15n + 36 = 291

15n = 255

n = 17

Then the greatest of the three integers is n + 4 = 21.

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FIND PR.PLS HELP BRAINLIEST...
slega [8]

Answer:

6.2 units.

Step-by-step explanation:

We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.

\frac{8}{sin(90)}=\frac{x}{sin(180-39-90)}=\frac{x}{sin(51)}

Cross multiplying and solving will get you this:

x=\frac{8(sin(51))}{sin(90}

Which can simplify to:

x=8(sin(51))

Which putting into a calculator gets you:

x=6.2

So the line PR is 6.2 units long.

6 0
3 years ago
Determine the percentage of the square that belongs to each of the four regions. (image included)
tatyana61 [14]

Step-by-step explanation:

maybe you can try to measure each of the ways maybe and you can get the equation

3 0
2 years ago
the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a
statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by P = 2l + 2w. We are given the perimeter of the pool along with the width.

P = 486

w = l - 35

From here, all we have to do is plug back into the original formula:

486 = 2l + 2(l - 35)

Which can be further simplified as:

486 = 2l + 2l - 70

486 = 4l - 70

From here, all we have to do is add 70 to both sides of the equation and divide by four:

556 = 4l

139 = l

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

P = 2l + 2w

P = 2(139) + 2(104)

P = 278 + 208

P = 486

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0
3 years ago
Read 2 more answers
100 points to answer!
choli [55]

Answer: 27.47

Step-by-step explanation:

(sin(70) * 10) / sin(20)) = 27.47

don't know much, but try that

4 0
2 years ago
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Please help me, you will get 20 points:)
ASHA 777 [7]
Dont listen to the person above, they put the same link everhwher
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2 years ago
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