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NARA [144]
3 years ago
13

The image shows the distances in miles between three cities. How much closer is it to travel from Aurora to Clifton directly tha

n from Aurora to Clifton through Burlington?

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0

Answer:

First we need to calculate the distance between Clifton and Burlington by using Pythagorean theorem:

    x² + 65² = 97²

=> x²           = 97² - 65²

=> x²           = 5184

=> x             = √5184 = 72 (m)

The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137 (m)

We have: 137 - 97 = 40 (m)

So it is 40 m  closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington

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The expression on the left side of an equation is show below
max2010maxim [7]

Answer:

−4(x−2)+5x

Distribute:

=(−4)(x)+(−4)(−2)+5x

=−4x+8+5x

Combine Like Terms:

=−4x+8+5x

=(−4x+5x)+(8)

=x+8

8 0
3 years ago
I WILL MAKE BRAINLEST!!!!!!
frozen [14]

Answer:

\sqrt{\frac{9}{4}} < \frac{5}{3} < \sqrt{5} < 2.5

Step-by-step explanation:

Given the following numbers, \sqrt{\frac{9}{4}}, \sqrt{5}, 2.5, and, \frac{5}{3}, let's express each as whole or decimal numbers, to find out the least to the greatest.

\sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}}

\frac{3}{2} = 1.5

\sqrt{5} ≈ 2.2

2.5 (already in decimal form)

\frac{5}{3} ≈ 1.7

From the least to the greatest, we have:

\sqrt{\frac{9}{4}} < \frac{5}{3} < \sqrt{5} < 2.5

3 0
3 years ago
Circled one I need help with thank you!!
Mashcka [7]

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

Hope it helps you... pls mark brainliest if it helped you.

5 0
3 years ago
A random sample is selected from a normally distributed population. The following sample statistics are obtained: n = 20, = 30,
Flura [38]

Answer:

b) The margin of error is approximately 3.24

e) The critical value is 1.7921.

Step-by-step explanation:

<u>Step(i</u>):-

Given sample size 'n' =20

Given sample standard deviation 's' = 10

<u><em> Margin of error </em></u>

<u><em>The margin of error is determined by</em></u>

<u><em /></u>M.E = \frac{t_{\alpha } S.D }{\sqrt{n} }<u><em /></u>

<em>The level of significance ∝ =0.95</em>

<em>The degrees of freedom = n-1 = 20-1=19</em>

t₀.₉₅ = 1.729

M.E = \frac{1.729 X10 }{\sqrt{20} }

Margin of error = 3.866

Step(ii):-

<u><em> Margin of error </em></u>

<u><em>The margin of error is determined by</em></u>

<u><em /></u>M.E = \frac{t_{\alpha } S.D }{\sqrt{n} }<u><em /></u>

<u><em>Given another sample size n =30</em></u>

<em>The level of significance ∝ =0.95</em>

<em>The degrees of freedom = n-1 = 30-1=29</em>

t₀.₉₅ = 1.70

M.E = \frac{1.7021 X10 }{\sqrt{30} } =3.24

<u><em>Margin of error = 3.24</em></u>

5 0
4 years ago
Negative 3/5 ×17 5/8=
ycow [4]

Answer:

-10.575

Step-by-step explanation:

4 0
3 years ago
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