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anyanavicka [17]
3 years ago
7

Clevon forms a triangle with three straws measuring 20, 25, and 18 inches. To the nearest whole

Mathematics
1 answer:
Ne4ueva [31]3 years ago
8 0

Answer:

Step-by-step explanation:

Let's label this triangle as triangle ABC.  Side AB is 18, side BC is 20 and side CA is 25 and the angle we are looking for is angle C.  Use the Law of Cosines to find the missing angle.  You have to use the Law of Cosines because in order to use the Law of Sines you have to have an angle given and we don't so we have no other options.  In our case,

c^2=a^2+b^2-2abcosC which for us looks like this:

18^2=20^2+25^2-2(20)(25)cosC and

324=400+625-1000cosC and

324=1025-1000cosC and

-701=-1000cosC and

.701=cosC

Use the 2nd button and the cos button to find the missing angle.

Angle C = 45.4 which is, rounded to the nearest degree, 45°

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Answer:

To be Honest I kinda do know but I can solve the equation for you if that helps

Step-by-step explanation:

5x+15y-6 is the answer

first you will add all of them and then distribute

Remove parentheses

=3x-18+15y+6+2x+6

Group like terms

=3x+2x+15y-18+6+6

Add similar elements

=5x+15y-18+6+6

Finally Add/Subtract the numbers

=5x+15y-6

3 0
3 years ago
What is the factored form of the expression?Factor completely. 6x^4-9x^3-36x^2+54x
mario62 [17]
If we factorize the expression

6x^4-9x^3-36x^2+54x

We will get

3x(2x-3)(x^2-6)


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3 years ago
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Answer:

Step-by-step explanation:

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3 years ago
A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv
lys-0071 [83]

Answer:

Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

            of  novels that seniors read during their time in college. An exit

            survey was conducted with a random sample of 9 seniors. The

            sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

              been met, which of the following is a 94.645% confidence

              interval for the population mean number of novels read by

              all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

                                = n - 1

                                = 9 - 1

                                = 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

   =1 - 0.94645

  =0.05355 ≈ 0.05

⇒α = 0.5

Now,

\frac{\alpha}{2} = \frac{0.05}{2}

  = 0.025

Then,

t_{\frac{\alpha}{2}, df }  = 2.306

∴ we get

Population mean = x⁻ ± t_{\frac{\alpha}{2}, df } ×\frac{s}{\sqrt{n} }

                           = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

⇒Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

3 0
3 years ago
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