Determine the intercepts of the line.

Answer:

[tex]cos\theta=\frac{20}{29}[/tex]

Step-by-step explanation:

Problem:

[tex]sin\theta=\frac{21}{29},cos\theta=?,0^\circ<\theta<90^\circ[/tex]

Given:

[tex]sin\theta=\frac{opposite}{hypotenuse}=\frac{21}{29}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}=\frac{x}{29}[/tex]

Solve for adjacent side:

[tex]a^2+b^2=c^2[/tex]

[tex]x^2+21^2=29^2[/tex]

[tex]x^2+441=841[/tex]

[tex]x^2=400[/tex]

[tex]x=20[/tex]

Final answer:

[tex]cos\theta=\frac{20}{29}[/tex]

The value  [tex]\rm Cos\theta[/tex] is 20/29 and it can be determined by using the Pythagoras theorem.

Given that,

The value  [tex]\rm Sin\theta[/tex] is 21/29,

We have to determine,

The value of [tex]\rm Cos\theta[/tex]?

According to the question,

To determine the value of [tex]\rm Cos\theta[/tex] following all the steps given below.

The formula of [tex]\rm Sin\theta[/tex] is,

[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

On comparing to the given value of  [tex]\rm Sin\theta[/tex] is,

[tex]\rm Sin\theta =\dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin\theta =\dfrac{21}{29}\\\\[/tex]

Here, Hypotenuse = 29, and Perpendicular = 21

Then,

The formula of [tex]\rm Cos\theta[/tex] is,

[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\[/tex]

Let, the base be x,

The value of base finding by using Pythagoras theorem,

[tex]\rm {(Hypotenuse)}2 = (Perpendicular)^2+ (Base)^2\\\\ (29)^2 = (21)^2 + (x)^2\\\\841= 441 +x^2\\\\x^2 = 841-441\\\\x^2 = 400\\\\x = 20[/tex]

The value of the base is 20.

Therefore,

[tex]\rm Cos\theta =\dfrac{Base}{Hypotenuse}\\\\\rm Cos\theta =\dfrac{20}{29}\\\\[/tex]

Hence, The value  [tex]\rm Cos\theta[/tex] is 20/29.

For more details about Pythagoras theorem refer to the link given below.

https://brainly.com/question/13710437

Answer:

y = - 1 , x = 4

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (4, - 1 ) with y- coordinate - 1 , then

y = - 1 ← equation of horizontal line

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 1 ) with x- coordinate 4 , then

x = 4 ← equation of vertical line

Answer: 70°

Oki so...

The corresponding angle in a transversal line cut by a parallel line is equal. So in this case, angle QSP is 110°

Line PSR is a straight line and a straight line angle is 180°

So, 180-110=70° (angle QSR)

Now that you know the two angle of the triangle is 40° and 70° and that a triangle is 180°

Simply, 180-(40+70)

This comes 70. So x is 70°

Answer:

Option C) 5/8 is correct.

For explanation, Refer to the attachment.

[tex]\Large\textsf{Hope \: It \: Helped}[/tex]

Answer:

C

Step-by-step explanation:

Substitute the values for v and w into the expression.

[tex]\frac{1}{2}[/tex] + ([tex]\frac{3}{4}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + ([tex]\frac{6}{8}[/tex] - [tex]\frac{5}{8}[/tex] )

= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{4}{8}[/tex] + [tex]\frac{1}{8}[/tex]

= [tex]\frac{5}{8}[/tex] → C

Answer:

6 to the right

Step-by-step explanation:

Yes, it might be scary at first sight bexause of the square mark. But it is no more special than any other graph transformation. The sqare mark here nly indicates that this graph is a parabola, and the 6 inside shifts the graph (be careful, it is negative so it moves the graph to the RIGHT, by 6 -- the square mark doesnt apply to that).

Answer:

  C)  1.1w

  D)  1.15w

  E)  1.25w

Step-by-step explanation:

A markup is an added value. The effective multiplier of price will be greater than 1 when the markup is added. Such a multiplier is indicated in choices C, D, and E.

___

Choices A and B represent a markdown, or discount.

Answer:

The slope would be 5/2.

Step-by-step explanation:

Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.

Answer:

l=33 feet

w=7 feet

Area= 231 feet

Step-by-step explanation:

Answer:

13.9 ft

Step-by-step explanation:

Answer:

See answers below

Step-by-step explanation:

slope-intercept form- y=-2x+3

point slope form- y-11=-2(x+4)

Use the given slope and point to substitute into the point-slope formula

then you can solve for y=mx+b

Answer:

y=x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-4)/(4-2)

m=2/2

m=1

y-y1=m(x-x1)

y-4=1(x-2)

y=x-2+4

y=x+2

Answer: The answer is X∈[3,12).

Answer:

-8≤3x-17<19

-8+8 ≤ 3x - 17 + 8 < 19 + 8

0 ≤  3x - 9 < 27

0 ≤  3x - 9 + 9 < 27 + 9

0 ≤  3x <  36

0 ≤ 3x / 3 <  36/3

0 ≤ x < 12

So x can be 0 or less than 12. A number between 0 and 12

Answer:

20

Step-by-step explanation:

I'm pretty sure its 20 but I could be wrong but 20 is my best guess.

Answer:

16 of the 33 plays none.

Step-by-step explanation:

From the list, we get that 18 students play football, 1 basketball, and 7 both.

What we need to do here is add up 18 and 1

then we subtract 19 by 7 to cancel out the people who play both

and then subtract the total number of 33 by 17,

which gives you 16.

Answer: 25%

Step-by-step explanation:

To find percent decrease, you take your final number minus your initial number, over your initial number, so you start with 6-8/8, and get 2/8 or 1/4, then you multiply that by 100, so you get 25. That's your percent decrease.

We know that:

To find the side, we will need to divide 52 by 4.

Therefore, the side of the square with 52 cm of perimeter is 13 cm.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

Step-by-step explanation:

the associative property means that when you are adding OR multiplying you can group the numbers however you want

Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167

Answer:

75-82=-7

Step-by-step explanation:

e

Answer:

x means times

Step-by-step explanation:

[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]

[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]

[tex]\\ \sf\longmapsto 8y=-240[/tex]

[tex]\\ \sf\longmapsto y=-240/8[/tex]

[tex]\\ \sf\longmapsto y=-60[/tex]

Answer:

The triangle must be an isosceles triangle so as to only get one measurement

Step-by-step explanation:

The Pythagorean theorem states that the square of the hight and base is added then square rooted to get the hypotenuse

THE FORMULA: A square+b square=c square

Answer:

 S.A. = 704 in²

Step-by-step explanation:

Surface area (S.A. ) = 1/2 lp + B where l is the slant height , p is the  perimeter of the base, and B is the area of the base .

Given l = 14; The Base figure is a square so the p = 4· side = 4 · 16 = 64 and the area of the Base = s² = 256

S.A = 1/2 · 14 · 64 + 256

 S.A. = 448 + 256

  S.A. = 704 in²

It will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

Given that if one rents a car from Airport Rent-a-Car, the charge is $ 79 plus 7 cents a kilometer, while Savings Rent-A-Car charges $ 59 plus 9 cents a kilometer, to determine, if one will drive D kilometers , when it is cheaper to use Savings Rent-A-Car, the following calculation must be performed:

Therefore, it will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

Learn more about maths in https://brainly.com/question/26027910

Answer:

uhhh maybe ( x + 2 ) = y

Step-by-step explanation:

i dont know im on break and I don forgot how to do this

Answer:

+9 and -9

Step-by-step explanation:

28=9x-8

36=9x

x=4

:) hope it helps!

Answer:

4 times because they will have the common number of 15 and since there is 60 seconds in a minute you would divide 60 by 15, and that equals 4

Step-by-step explanation: