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2 years ago

What are the three types of triangles, based on ANGLES? Draw an example for each one.

Mathematics

1 answer:

artcher [175]2 years ago

5 0

Answer:

Right Triangle, Acute Triangle, and Obtuse Triangle

Step-by-step explanation:

I can't draw it here but the right triangle has a side of 90°.

An acute triangle has a side smaller than 90°.

An obtuse triangle has a side bigger than 90°.

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This is homework. please help with the answer for both 11a and 11b :))

RideAnS [48]

11a:
3x+5=5x-57
3x-5x=-57-5
-2x=-62
x=31
11b:
2x+2x+4x+150+4x+150=360
12x+300=360
12x=360-300
12x=60
x=5

hope this helped !!

3 0

2 years ago

Find sinϴ and cosϴ if tanϴ=1/4 and sinϴ>0

eduard

If you're using the app, try seeing this answer through your browser: brainly.com/question/2787701

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$\mathsf{tan\,\theta=\dfrac{1}{4}\qquad\qquad(sin\,\theta\ \textgreater \ 0)}\\\\\\
\mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{1}{4}}\\\\\\
\mathsf{4\,sin\,\theta=cos\,\theta\qquad\quad(i)}$

Square both sides:

$\mathsf{(4\,sin\,\theta)^2=(cos\,\theta)^2}\\\\
\mathsf{4^2\,sin^2\,\theta=cos^2\,\theta}\\\\
\mathsf{16\,sin^2\,\theta=cos^2\,\theta\qquad\qquad(but,~cos^2\,\theta=1-sin^2\,\theta)}\\\\
\mathsf{16\,sin^2\,\theta=1-sin^2\,\theta}$

$\mathsf{16\,sin^2\,\theta+sin^2\,\theta=1}\\\\
\mathsf{17\,sin^2\,\theta=1}\\\\
\mathsf{sin^2\,\theta=\dfrac{1}{17}}\\\\\\
\mathsf{sin\,\theta=\pm\,\sqrt{\dfrac{1}{17}}}\\\\\\
\mathsf{sin\,\theta=\pm\,\dfrac{1}{\sqrt{17}}}$

Since $\mathsf{sin\,\theta}$ is positive, you can discard the negative sign. So,

$\mathsf{sin\,\theta=\dfrac{1}{\sqrt{17}}\qquad\quad\checkmark}$

Substitute this value back into $\mathsf{(i)}$ to find $\mathsf{cos\,\theta:}$

$\mathsf{4\cdot \dfrac{1}{\sqrt{17}}=cos\,\theta}\\\\\\
\mathsf{cos\,\theta=\dfrac{4}{\sqrt{17}}\qquad\quad\checkmark}$

I hope this helps. =)

Tags: <em>trigonometric identity relation trig sine cosine tangent sin cos tan trigonometry precalculus</em>

7 0

2 years ago

A linear regression is done on data the line of best fit is y= 1.25x-6.25. What is the residual for the point (1,1)?

Damm [24]

Answer:

Step-by-step explanation:

Find the predicted y value when x=1:

$\hat{y}=1.25x-6.25\\\hat{y}=1.25(1)-6.25\\\hat{y}=1.25-6.25\\\hat{y}=-5$

Find the residual:

$\text{Residual}=\text{Actual Value}-\text{Predicted Value}\\\text{Residual}=y-\hat{y}\\\text{Residual}=1-(-5)\\\text{Residual}=1+5\\\text{Residual}=6$

Because our residual is positive, this is an indicator that our predicted y value is too low.

6 0

2 years ago

I will literally do anything pls solve this pls

Nata [24]

It’s y=3x-3 that is where the line passes thru

8 0

2 years ago

What is the y-intercept of the line? (-36,-117) (-27,-98) (-18,-79

MrRissso [65]

The answer is -41

You can graph them and see where the line passes on the y-axis which is the vertical axis

5 0

3 years ago