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Sav [38]
3 years ago
5

The perimeter of a convex pentagon is 15 feet. What is the effect on its perimeter if each side is doubled?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0

Answer:

If  each side of pentagon is doubled then its perimeter will also be doubles. The new perimeter is 30 feet.

Step-by-step explanation:

Let the length of all five sides of pentagon = <em>v, w, x, y</em>, and <em>z</em>.

Perimeter of pentagon = Sum of lengths of its all five sides = (<em>v + w + x + y + z</em>) = 15 feet

If each side of pentagon is doubles then,

New perimeter of pentagon = (2<em>v + </em>2<em>w + </em>2<em>x + </em>2<em>y + </em>2<em>z</em>)

= 2 (<em>v + w + x + y + z</em>)

= 2 (15)

= 30 feet

Therefore, if each side of pentagon is doubled then its perimeter will also be doubled.

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Line AB contains points A ( -3,5) and B (-3,3). Line AB has a slope that is
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slope  that is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

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Please answer 7/10k=21 find x ill give you brainliest
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Answer:

k=2.1

Step-by-step explanation:

7/10k=21

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3 years ago
The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
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Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

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Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

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We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

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3 years ago
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S_A_V [24]

Answer:

8y=8 or 4y=-4

Step-by-step explanation:

1.)-2(x+3y=-1)

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3.)6y=2  

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