All categories

3 years ago

Melissa and Brian are at the base of a mountain. Melissa hikes to

1 answer:

8 0

67 meters because if you use the triangle congruent method with the altitude at 65 degrees you should get the right answer

You might be interested in

The volume of a cylinder is 375 pi m^3. if r= 5 m, find its height.

pishuonlain [190]

Answer:

Step-by-step explanation:

$V=h\pi r^2\\ \\ h=\frac{V}{\pi r^2}\\ \\ h={375\pi}{25\pi}\\ \\ h=15m$

3 0

3 years ago

Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

3 years ago

15 points PLEASE HELP , and be careful when answering !!

Aleks04 [339]

18.84 because the formula to find the volume of a cone is pie*r^2*h/3 and your radius is 3 and the height is 2, so if you plug those in the equation and calculate it this should be your answer

6 0

3 years ago

How would i solve 5-8x<2+3 step by step

Sindrei [870]

Answer:

x<0

Step-by-step explanation:

4 0

1 year ago

Please help me ASAP <br> I will give brainliest

stellarik [79]

Answer:

-23

Step-by-step explanation:

rearrange to point slope form first

slope can be fine by y2-y1/x2-x1 (im using the first 2 points)

so 13-25 = -12 and -54-(-72) = 18, and the slope is -12/18 which is -2/3

then you can use any point (i used the first point) to create the point slope form which is y-ypoint=slope(x-xpoint) and equation would be y-25=-2/3(x+72)

turn it into slope intercept form by multiplying -2/3 within the equation and adding -25 on both sides

you will get y= -2/3x-23

and the y intercept will be (0, -23)

3 0

2 years ago

Read 2 more answers