All categories

3 years ago

Please someone help me 20 and 22

Mathematics

1 answer:

slava [35]3 years ago

4 0

You need to go back and look over your shortcuts for sine, cosine, and tangent. Also make sure you label which angle is theta.

For number 20, they give you csc theta = 5/3 and since csc = 1/sin you can flip the answer to get sin=3/5. This means that the opposite length is 3 and the hypotenuse is 5 (your drawing is wrong). Use Pythagorean Theorem to find the other side, which would be
${5}^{2} = {3}^{2} + {x}^{2}$
This gives a value of 4 for x, so now you have a triangle who's hypotenuse is 5 with sides equal to 3 and 4.

Use this to find your trig functions, and to help with 22.

leave a comment if you need more help.

You might be interested in

Daisy purchases a gym membership.She pays a signup fee and a monthly fee off 13$.After 4 months, she has paid a total of$69.Use

bulgar [2K]

Answer:

The signup fee is $17

Step-by-step explanation:

we know that

The equation in point slope form is equal to

$y-y1=m(x-x1)$

where

m is the slope or unit rate of the linear equation

(x1,y1) is a ordered pair of the line

Let

x -----> the number of months

y -----> the total cost of a gym membership

In this problem we have

The slope of unit rate is equal to

$m=\$13\ per\ month$

The ordered pair is

$(x1,y1)=(4,69)$

substitute

$y-69=13(x-4)$ ----> equation in point slope form

Convert to slope intercept form

$y-69=13x-52$

$y=13x-52+69$

$y=13x+17$ ---> equation in slope intercept form

The y-intercept is the signup fee (value of y when the value of x is equal to zero)

therefore

The signup fee is $17

4 0

3 years ago

What are the coordinates of the point on the directed line segment from (-4, - 7) to

lara [203]

Answer:

The coordinates of the point on the directed line segment from (-4, - 7) to

(-3,1) that partitions the segment into a ratio of 2 to 3 is

$\therefore P(x,y)=(\frac{-18}{5},\frac{-19}{5})$

∴ PointP( x , y ) = ( -3.6, -3.8)

Step-by-step explanation:

Let he points be,

point A( x₁ , y₁) ≡ ( -4 ,-7)

point B( x₂ , y₂) ≡ (-3 , 1)

and Point P( x , y ) be the point on the line Segment AB Divides AB internally in the ratio 2 : 3 i. e m : n

To Find:

Point P( x , y ) = ?

Solution:

IF a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as

$x=\frac{(mx_{2} +nx_{1}) }{(m+n)}\\ \\and\\\\y=\frac{(my_{2} +ny_{1}) }{(m+n)}\\\\$

Substituting the Given values we get

$x=\frac{(2(-3) +3(-4)) }{(2+3)}\\ \\and\\\\y=\frac{(2(1) +3(-7)) }{(2+3)}\\\\x=\frac{-18}{5}\\ \\and\\\\y=\frac{-19}{5}\\\\\therefore P(x,y)=(\frac{-18}{5},\frac{-19}{5})$