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3 years ago

The sides of a triangle are 2x+4, 5x+2, and 4x-3. What is the perimeter if x=2

Mathematics

2 answers:

larisa86 [58]3 years ago

6 0

Answer:

Step-by-step explanation:

The three sides of a triangle are 2x+4, 5x+2, and 4x-3.

The sum is the perimeter

P = 2x+4+ 5x+2+ 4x-3

Combine like terms

P = 11x +3

Let x =2

P = 11*2 +3

P = 22+3

P =25

castortr0y [4]3 years ago

5 0

Answer:

Step-by-step explanation:

Side 1: 2x+4 Side 2: 5x+2 Side 3: 4x-3

Substitute-

2(2)+4 5(2)+2 4(2)-3

Multiply-

4+4 10+2 8-3

Combine Terms-

16 + 12 + 5

=25

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Mariana [72]

Answer:

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Step-by-step explanation:

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2 years ago

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A store is having a sale on shirts. the sale is buy one shirt and get one 50% off. the original price of on shirt is $34.98. ros

andreev551 [17]

Answer:

12 shirts

Step-by-step explanation:

find the price of 2 shirts:

(1/2 x 34.98)+34.98=52.47

for every 2 shirts she buys, she pays $52.47

314.82/52.47=6

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3 0

3 years ago

The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room

Alexandra [31]

Answer:

$\bar x = 260.1615$

$\sigma = 70.69$

The confidence interval of standard deviation is: $53.76$ to $103.25$

Step-by-step explanation:

Given

$n =20$

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}$

$\bar x = \frac{5203.23}{20}$

$\bar x = 260.1615$

$\bar x = 260.16$

Solving (b): The standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

$\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}$ $\sigma = \sqrt{\frac{94938.80}{19}}$

$\sigma = \sqrt{4996.78}$

$\sigma = 70.69$ --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

$c =0.95$

So:

$\alpha = 1 -c$

$\alpha = 1 -0.95$

$\alpha = 0.05$

Calculate the degree of freedom (df)

$df = n -1$

$df = 20 -1$

$df = 19$

Determine the critical value at row $df = 19$ and columns $\frac{\alpha}{2}$ and $1 -\frac{\alpha}{2}$

So, we have:

$X^2_{0.025} = 32.852$ ---- at $\frac{\alpha}{2}$

$X^2_{0.975} = 8.907$ --- at $1 -\frac{\alpha}{2}$

So, the confidence interval of the standard deviation is:

$\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }$ to $\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }$

$70.69 * \sqrt{\frac{20 - 1}{32.852}$ to $70.69 * \sqrt{\frac{20 - 1}{8.907}$

$70.69 * \sqrt{\frac{19}{32.852}$ to $70.69 * \sqrt{\frac{19}{8.907}$

$53.76$ to $103.25$

8 0

3 years ago

10^8/10^4 Simplify the expression. Write your answer as a power.

Andru [333]

<h3>Answer: 10^4</h3>

This is an exponential expression with 10 as the base and 4 as the exponent.

=============================================

Explanation:

We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.

The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.

Side note: 10^4 = 10,000 = ten thousand

7 0

3 years ago

Helppppppppppppppppppppppppppp me plz

Anit [1.1K]

Yes they are equivalent expressions. If you take the z to the power of two, and subtract that from the other z to the power of two, it is zero. So you are left with four which is the answer

6 0

3 years ago