150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

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: 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.

28=9x-8

36=9x

x=4

:) hope it helps!

Answer:

y = x + 2

Step-by-step explanation:

By doing the rise over run, the slope is 1

The y - intercept is 2

You plug the numbers in the equation y = mx + b

y = x + 2

Answer:

l=33 feet

w=7 feet

Area= 231 feet

Step-by-step explanation:

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:

[tex]y=\frac{-x-3}{-2}[/tex]

Step-by-step explanation:

1. The first thing you should do is put it equal to 0:

   [tex]x-2y+3=0[/tex]

2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:

[tex]x-2y+3=0[/tex]

            -3    -3

 [tex]x-2y=-3[/tex]

3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:

 [tex]x-2y=-3[/tex]

-x              -x

[tex]-2y=-x-3[/tex]

4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.

[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]

5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:

[tex]y=\frac{-x-3}{-2}[/tex]

Answer:

6feet by 5feet by 4feet

7feet by 6feet by 4feet

8feet by 3feet by 7feet

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: 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:

uhhh maybe ( x + 2 ) = y

Step-by-step explanation:

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

Answer:

75-82=-7

Step-by-step explanation:

e

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:

 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

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:

[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:

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:

Step-by-step explanation:

3 3/8 changes to 27/8 because we multiply 3*8=24 and then add 24 to 3 = 27

same thing for 1 1/4

and then while dividing we flip the left hand side meanig 5/4 becomes 4/5 and division changes to multiplication

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:

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:

The length of the base of this parallelogram is 34.2

Step-by-step explanation:

To calculate the length, we work backward and calculate the base by doing area/height

We have 690.84/20.2 = 34.2

I hope this explained your confusion

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:

13.9 ft

Step-by-step explanation:

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:

it's the 2nd one

Step-by-step explanation:

yeah it's the 2one