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stealth61 [152]
3 years ago
7

Highschool level trigonometry!!! Need help knowing step by step how to find answer!

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer:

\theta \approx 82.34^\circ

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}

The adjacent side is 2 and the hypotenuse is 15. By substitution:

\displaystyle \cos(\theta)=\frac{2}{15}

Now, we will take the inverse cosine of both sides. So:

\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)

Use a calculator. Hence:

\theta \approx 82.34^\circ

The angle between the ground and the ladder is about 82.34°.

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Step-by-step explanation:

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2 years ago
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Answer:

Step-by-step explanation:

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2 years ago
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gizmo_the_mogwai [7]

Answer:

Yes the relationship is linear and given by:

y+2=-\frac{5}{4} \,(x+9) (first option of your list)

Step-by-step explanation:

Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:

-7-(-2) = -7+2 = -5

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Now we evaluate the difference between consecutive x-values in a similar fashion:

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We see that they all give 4 as the difference.

That means that the rate of change \frac{y_2-y_1}{x_2-x_1} =\frac{y_3-y_2}{x_3-x_2}=\frac{y_4-y_3}{x_4-x_3}=\frac{-5}{4}

This means that the slope (rate of change) of the line is "-5/4"

We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:

y-y_0=m\,(x-x_0)\\y-(-2)=-\frac{5}{4} \,(x-(-9))\\y+2=-\frac{5}{4} \,(x+9)

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sukhopar [10]

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107

Step-by-step explanation:

6 0
3 years ago
3. A quadratic polynomial whose<br>product and the sum of<br>zéroes are -12 and 1​
muminat

Answer:

the equation is : x²-x-12

Step-by-step explanation:

the quadratic equation is in the form of : y=ax²+bx+c

the product of the zeros is -12 and the sum is 1

b  = - 1

c=-12 (product)

y=x²-x-12

check : factorize first (x+3)(x-4)=0

either x+3=0 then x=-3

or x-4=0 then x=4

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the equation is : x²-x-12

3 0
3 years ago
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