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3 years ago

The tangent of an angle is 3.4. what is the measure of the angle to the nearest tenth?

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

3 0

To answer this question, you first need to know what SohCahToa is.

S- opposite over hypotenuse

C- adjacent over hypotenuse

T- opposite over adjacent

In this situation, they have made it easier for you as they have given you the quotient of the opposite and adjacent sides (3.4) . Now in order to find an angle, you take the inverse of your expression. So instead of just Tan, you would plug in Tan^-1. So plug it in:

Tan^-1 (3.4)

Answer is 73.6 degrees.

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399,713 rounded to nearest thousand

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399,713 rounded to the nearest thousand is 400,000

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

The time, t, required to complete a job

tigry1 [53]

Answer:

19 hrs

Step-by-step explanation:

t varies inversely with number of people p

t = k/p

If it takes 7.125 hrs for 8 workers to do the job

K = tp

= 7. 125 x 8

= 57

How many hours will it take if there are 3 workers .

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t = 57/3

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Therefore, It’ll take 19 hrs to Complete the job if there are only three workers.

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3 years ago

Find the quadratic function that fits the following data. which one function fits.

Oksana_A [137]

Answer:

Step-by-step explanation:

The general rule for the quadratic function is

$y=ax^2+bx+c$

Use the data from the table:

$y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c$

We get the system of three equations:

$\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.$

Subtract these equations:

$\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.$

From the first equation

$b=-120a$

Substitute it into the second equation:

$5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5$

So,

$2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25$

The quadratic function is

$y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25$

4 0

3 years ago

Mr. Levy has a budget of $18,000. Uniforms for the marching band cost $315 each, and he needs 62 uniforms. He says, "Since 60x$3

svetoff [14.1K]

Answer:

No. See explanation below.

Step-by-step explanation:

No.

Since 60 × $300 = $18,000, he would be exactly at budget if he needed 60 uniforms and if each uniform cost $300, but he needs more than 60 uniforms, and each uniform costs more than $315, so the total cost is definitely more than $18,000.

7 0

3 years ago

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