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blsea [12.9K]
3 years ago
10

Solve for the given variable 1.

la1" title="f= \frac{9}{5}c+32 " alt="f= \frac{9}{5}c+32 " align="absmiddle" class="latex-formula"> solve for c
Mathematics
1 answer:
olga2289 [7]3 years ago
8 0
f=\frac{9}{5}c+32\\
5f=9c+160\\
9c=5f-160\\
c=\frac{5f-160}{9}

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The vertices of a triangle are A(1, –9), B(0, –3), C(–4, –5). Fine the length of each side. What type of triangle is triangle AB
Alenkinab [10]

Answer:

AB = √37

BC = 2√5

AC = √41

Type: SCALENE TRIANGLE

Step-by-step explanation:

Given the coordinates

A(1, –9), B(0, –3), C(–4, –5)

We are to find the length of each sides first. Using the formula for calculating the distance between two points, we will have;

For A(1, –9) and B(0, –3)

AB = √(-3+9)²+(0-1)²

AB = √6²+(-1)²

AB = √36+1

AB = √37

For coordinates B(0, –3) and C(–4, –5)

BC = √(-5+3)²+(-4-0)²

BC= √(-2)²+(-4)²

BC = √4+16

BC = √20

BC = 2√5

For coordinates  A(1, –9), C(–4, –5)

AC = √(-5+9)²+(-4-1)²

AC= √(4)²+(-5)²

AC = √16+25

AC = √41

<em>Since the sides of the triangles are all different, hence the triangle is a SCALENE triangle</em>

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3 years ago
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Answer:

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Step-by-step explanation:

Consider the provided information.

The mean annual tuition and fees for a sample of 12 private colleges was 36,800 with a standard deviation of 5,000 .

Thus, n = 12, \bar x=36800 σ = 5000

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Formula to find the value of z is: z=\frac{\bar x-\mu}{\frac{\sigma}{\sqrt{n}}}

Where \bar x is mean of sample, μ is the mean of population, σ is the standard deviation of population and n is number of observations.

z=\frac{36800-33700}{\frac{5000}{\sqrt{12}}}

z=2.148

Hence, the value of the test statistic and degrees of freedom is 2.148 and 11 respectively.

6 0
3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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