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lisov135 [29]
3 years ago
13

The perimeter of a rectangular pool is 312 m.

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

The perimeter of a rectangle is calculated by:

\boxed{P=width +width+length+ length}

Remember: In a rectangle, opposite sides are equals.

If we know how much is the width, then it's just apply it to the expression:

P=width+width+length+length\\312 =68 + 68 + length + length\\312 = 136+(2\cdot length)\\312 - 136 = 2\cdot length\\2\cdot length = 176\\length = \frac{176}{2} \\length = 88

Therefore, the length of the pool is 88m.

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I need to get this done
Allushta [10]

Answer:

x = 17 and y = 8

Step-by-step explanation:

Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.

Therefore, you can set them equal to each other and solve for x.

8x - 31 = 6x + 3

Combine like terms

2x = 34

Divide both sides by two

x = 17

Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.

(5y + 35) + (6(17) + 3) = 180

Add like terms

5y + 140 = 180

5y = 40

y = 8

7 0
3 years ago
Can someone answer this question please answer it correctly if it’s correct I will mark you brainliest
mash [69]

Answer:

Harry stains his shirt

1/5= 20%

15%

7 0
3 years ago
Read 2 more answers
This is a pre calculus question that I need help with, serious answer PLEASE and thank you! Will give brainliest.
IRISSAK [1]

The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,

\dfrac12,\dfrac14,\dfrac18,\ldots,\dfrac1{64}

which would be

\dfrac12+\dfrac14+\dfrac18+\cdots+\dfrac1{64}

in sigma notation.

To do this, notice that the denominator in each term is a power of 2, starting with 2^1=2 and ending with 2^6=64. So in sigma notation, this series is

\displaystyle\sum_{n=1}^6\frac1{2^n}

4 0
3 years ago
Whats wrong in this equation ?
Inga [223]
The second step is wrong. What should've been done is to find greatest common factor (gcf) of 1/6 and -2. This is because you cannont add together a number with a variable to a number without a variable. So get the variable by itself by subtracting 1/6 from both sides.

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________


Turn -2 into a fraction and find the gcf of -2 and 6:

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________

1/5x = -2/1 — 1/6 ——> 1/5x = -12/6 — 1/6
1/5x = -13/6

Then divide each side by 1/5 to get the variable by itself; remeber: when dividing a fraction by a fraction, you multiply by the reciprocal.

5/1 • 1/5x = -13/6 • 5/1
x = 65/6

Then, simplify

65/6} 10.83 or 10 83/100
6 0
3 years ago
Henry rolls a fair dice 42 times. How many times would Henry expect to roll a number greater than 5?​
Sonja [21]

Answer:

7 times

Step-by-step explanation:

There is one number greater than 5 on a dice - that is the number 6.

So probability of throwing a six = 1/6.

So it is 42 * 1/6.

5 0
2 years ago
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