FIND THE RATE


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Answer:

so x = 20 , y = -21 , which is in quad IV

r^2= 400+441 = 841

r = √841 = 29

then cos Ø = 20/29

sec Ø = 29/20 = 1.45

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The exact value of cos [tex]\theta[/tex] is 21/29.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have, point (21, 20)

So, Adjacent side= 21 and opposite side= 20

Using Pythagoras theorem

H= √ 21²  + 20²

H= √441 + 400

H= √841

H= 29 unit

So, the trigonometric ratio

cos [tex]\theta[/tex] = Adjacent side/ H

cos [tex]\theta[/tex] = 21/29

Thus, the exact value of cos [tex]\theta[/tex] is 21/29.

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Answer:

y = x + 14

Step-by-step explanation:

given

5x−5y=−2, we'll rearrange this into slope - intercept form

5x + 2 = 5y

5y = 5x + 2    (divide both sides by 5)

y = x + (2/5)

recall that the general equation of the slope-intercept form of a linear equation:

y = mx + b, the value of m represents the slope of the line

in our case, comparing the above equations, it is clear that the slope m = 1.

We are given that our line is parallel to the above line, hence it will also have  a slope of 1.

if we substitute m = 1 into the general equation, we will get

y = x + b

in order to find the value of b, we will substitute the given point (-10,4) into the equation:

4 = -10 + b   (add 10 to both sides)

b = 4 + 10

b = 14

hence our equation is y = x + 14

Answer:

I got a decimal

Step-by-step explanation:

0.857142857

Answer:

Step-by-step explanation:

Answer:19,20,21 and 22

Step-by-step explanation:  if this is for a test your welcome bud.

Answer:

they are equal so what one shows that they rise 2 run 2

Step-by-step explanation:

The correct option is Option A: The system of inequalities that are shown within the graph are in y < x and y > 2.

Inequality means the relation that creates a non-equal comparison between two numbers or other expressions. It is the condition of unequalness. A system of inequalities is a set of two or more inequalities in one or more than one variables.

According to the question,

For the given condition,

The graph basically shows the inequality relationship between x and y.

The correct system of inequality is found by plotting all the choices within the graph.

The graph below shows the system of inequalities as shown for the expression,

Therefore, the system of inequalities that are shown within the graph is in option (a) i.e y < x and y > 2.

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Answer:

Step-by-step explanation:

LCM of 7/12 and 5/6

12: 12, 24

6: 6, 12

LCM: 12

685,000

Step-by-step explanation:

195000

160000

3200

685000

Answer:

Many solutions

Step-by-step explanation:

First, you distribute the 6 into the parenthesis:

4x+6=6(x+1)-2x

4x+6=6x+6-2x

4x+6=4x+6

subtract 6 from both sides

4x=4x

All real numbers can be the solution

Hope this helps!

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Answer:

x° = 123

Step-by-step explanation:

this triangle is isoceles so it has 2 congruent angles.

let y be the second angle

the sum of a triangle's angle is 180°

[tex]180 = 66 + y + y \\180 = 66 + 2y[/tex]

add [tex]-66[/tex] to both sides

[tex]180 - 66 = 2y + 66 - 66 \\114 = 2y[/tex]

divide both sides by 2

[tex]\frac{114}{2} = \frac{2y}{2}[/tex]

[tex]57 = y[/tex]

we khow that [tex]x + y = 180[/tex]

[tex]x + y = 180 \\x + 57 = 180[/tex]

add -57 to both sides

[tex]x + 57 - 57 = 180 - 57 \\x = 123[/tex]

Answer:

personal gain

Step-by-step explanation:

it was on a quizlet flashcard

iTS C THANK MEH LATER BAIIII

Answer:

A. Chocolate Only = 17

B. Mango only = 1

C.Strawberry Only = 5

D.Chocolate and strawberry = 4

E.None of the flavors​ = 9

Step-by-step explanation:

Kindly check attached picture for detailed explanation

A set is a group of related item.

Let:

[tex]C \to Chocolate[/tex]

[tex]M \to Mango[/tex]

[tex]S \to Strawberry[/tex]

So, we have:

[tex]C = 28[/tex]

[tex]M = 15[/tex]

[tex]S = 20[/tex]

[tex]n(C\ n\ S) = 8[/tex]

[tex]n(M\ n\ S) = 11[/tex]

[tex]n(C\ n\ M) = 7[/tex]

[tex]All = 4[/tex]

[tex]n(U) = 50[/tex] -- the population

(a) Chocolate only.

This is calculated as:

[tex]C\ only = C - n(C\ n\ S) - n(C\ n\ M) + All[/tex]

So, we have:

[tex]C\ only = 28 - 8 - 7 + 4[/tex]

[tex]C\ only = 17[/tex]

(b) Mango Only

This is calculated as:

[tex]M\ only = M - n(M\ n\ S) - n(C\ n\ M) + All[/tex]

So, we have:

[tex]M\ only = 15 - 11 - 7 + 4[/tex]

[tex]M\ only = 1[/tex]

(c) Strawberry only

This is calculated as:

[tex]S\ only = S - n(M\ n\ S) - n(C\ n\ S) + All[/tex]

So, we have:

[tex]S\ only = 20 - 11 - 8 + 4[/tex]

[tex]S\ only = 5[/tex]

(d) Chocolate and strawberry

This has already been given as:

[tex]n(C\ n\ S)\ only=n(C\ n\ S) - All[/tex]

[tex]n(C\ n\ S)\ only=8 - 4[/tex]

[tex]n(C\ n\ S)\ only = 4[/tex]

(e) None

See attachment for the Venn diagram that represents the set

Subtract the sum of all the numbers in the Venn diagram from the total (50)

[tex]None = 50 - (17 + 1 + 5 + 4 + 4 + 7 + 3)[/tex]

[tex]None = 9[/tex]

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Answer:

24 days

Step-by-step explanation:

To determine the number of days until they both work out at the gym on the same day again,

Find the lowest common multiples of 4 days and 6 days

Clint (4 days) = 8, 12, 16, 20, 24, 28, 32

Max (6 days) = 12, 18, 24, 30, 36, 42

The lowest common multiple of ,4 days and 6 days is 24 days

Therefore, the number of days until they both work out at the gym on the same day again is 24 days

Answer:

no its not 24 its 12

Step-by-step explanation:

6 plus 6 is12 and clint has to work 8 more days to get to 12

Answer and Step-by-step explanation:

-11x

You just combine all your like terms together and it should leave you with -11x

Hope you found this helpful! ^-^

Answer:

The endpoint coordinates are (3,12)

Step-by-step explanation:[tex]\frac{5+x^{2} }{2} =4[/tex] [tex]\frac{-6+y^{2} }{2} = 3[/tex]

You multiply 4 by 2 which gives you 8 and write the equation[tex]5+x^{2} =8[/tex] then you subtract 5 from 8 to get 3 for the x coordinate.

You multiply 3 by 2 which gives 6 and writhe the equation[tex]-6+y^{2}=6[/tex] then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.

To check use the midpoint formula with coordinates D and your endpoint coordinates[tex]\frac{5+3}{2}=\frac{8}{2} =4 \\[/tex]  [tex]\frac{-6+12}{2} =\frac{6}{2} =3[/tex] and you get the answer for the midpoint which is (4,3)

Answer:

6 is 100 times 0.06

Step-by-step explanation:

0.06 times 100 = 6

Answer:- 1) there are three terms

2) 3,4,1

$53 + $127 - $40 = $140

Answer:

Step-by-step explanation:

53+127=180 so $180 total

180-40=140

$140

Answer:

You need $1050 worth of sales to make $500 this week.

Step-by-step explanation:

First make an equation,

The equation would be [tex]\frac{2}{7} s +200 = 500[/tex]

S is your sales

Second, solve the equation

   minus 200 from 500

   multiply 300 with the reciporcal of 2/7

Third, you should have the answer now.

s = 1050

Answer:

27.9

Explanation:

As you can see they both have an absolute value because they are both in between the 2 lines. So you have to change both of them into a positive number. You would get 5.9+22 which would equal 27.9

Answer:

b

Step-by-step explanation:

this is the answer

Answer:

323

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

24 is a multiple of 12, and 36 is a multiple of 12, so the LCM of 24, 32, and 36 will also be the LCM for 12 and 16.

24 = 2^2 * 3

32 = 2^5

36 = 2^2 * 3^2

LCM = 2^5 * 3^2

LCM = 288

Answer:

(2, -8)

Step-by-step explanation:

The answer is (2, -8) because when you reflect a point across the x-axis, the x-coordinate always remains the same, but the y-coordinate will change. In other words, the y-coordinate becomes the opposite (signs change). In this case, since the y-coordinate was positive 8, when you reflect the point across the x-axis, the y-coordinate will change to -8

Answer: percent

Step-by-step explanation: 1 out of 100 is 1%