Which of the following equations represents a function (15 points)

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[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]

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The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,

Tan(B) = AC / BC

Tan(B) = 8/15

Hence, the value of Tan(B) will be equal to 8/15.

Learn more about Tangent (Tanθ):

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Answer:

The one you selected is true <3

Step-by-step explanation:

Answer:

The one you selected is true I agree! :D

Step-by-step explanation:

Answer:

78°

Step-by-step explanation:

(I'm assuming that segment AB is a straight line {180 degrees})

1. since angles DCA and DCB equals 180°, we can set up the equation 4x+2+3x+3=180.

2. if you solve that, you'll get x=25.

3. plug 25 (x) into 3x+3 -> 3(25)+3

4. 3(25)+3=78

5. answer: 78°

Answer:

5 5/6 miles

Step-by-step explanation:

There are a few ways to do this, but one way is to find out how many miles per hour the car can travel. For this we do 35/3(distance/time) which is 11 2/3 mph. Now, to find half an hour we can divided 11 2/3 divided by 2, which is

5 5/6 miles.

Answer:

Around 0.22 dollars or 22 cents

Step-by-step explanation:

We know that per 16 ounces it costs 3.58. We want the ounces to equal zero. To do that, we divide 16 by 0, but to keep it equal we need to divide 3.58 by 16. So...

16/16 = 1

3.58/16 = 0.22375

This means that every ounce of cereal, it costs 0.22375 dollars, but money can't go in the thousandths place, so we must round it to the hundredths place, which becomes 0.22 dollars, or 22 cents. I hope this helps and I hope it's not wrong but I don't think it is.

Answer:

x = 32 :)

Step-by-step explanation:

20+4x+x=180

5x=160

160/5=32

brainliest pls if correcto

Answer:

10 minutes

Step-by-step explanation:

Answer:She will need 12 and 1/2 cups of sugar

Step-by-step explanation:

Just set up a table and multiply 2 1/2 by 5 and you get 12 1/2

Answer:

[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]

Step-by-step explanation:

Two points (1, -1) and (0, 6) are lying on the given line.

Rule to find the coordinates of a point by the rotation of 90° clockwise is,

(x, y) → (y, -x)

Therefore, image points of (1, -1) and (0, 6) will be,

(1, -1) → (-1, -1)

(0, 6) → (6, 0)

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (-1, -1) and (6, 0) will be,

m = [tex]\frac{0+1}{6+1}[/tex] = [tex]\frac{1}{7}[/tex]

Equation of the line passing through (6, 0) and slope = [tex]\frac{1}{7}[/tex]

y - y' = m(x - x')

y - 0 = [tex]\frac{1}{7}(x - 6)[/tex]

[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]

Answer:

number of large year book sold = 380

number of small year book sold =520

Step-by-step explanation:

Let the no. of large year book pages be x

given that

cost of 1 large year book = $4

cost of x large year book = x*cost of 1 large year book = $4x

Let the no. of small year book pages be y

given that

cost of 1 small year book = $2.5

cost of y small year book = y*cost of 1 large year book = $2.5y

also,

total year books sold were 900

no. of small year book + no. of small year book = 900

x + y = 900

y = 900 - x  ------------------>1

also total money made by selling large and small year book = $2820

cost of x small year book + cost of x large year book = 2820

4x + 2.5y = 2820

using y = 900 - x in above equation

4x + 2.5(900-x) = 2820

4x + 2250 - 2.5x = 2820

1.5x = 2820-2250 = 570

x = 570/1.5 = 380

Thus,

number of large year book sold = 380

number of small year book sold = 900-380 = 520

Answer:

dez nuts ha gotem

Step-by-step explanation:

boi u thought

Answer:

2

Step-by-step explanation:

had that answer on eg

Answer:

x=2

Step-by-step explanation:

Answer:

Spaces are as below:

Answer:

Third choice. 9/14

Step-by-step explanation:

3/4 x 6/7 = 18/28 = 9/14

Answer:

I= (-4, 2)

G= (-1,-1)

H= (-1,3)

Step-by-step explanation:

Translation of the object= 6 units left and 4 units up.

Answer:

I don't know really sorry friend I am so sorry I was just wondering for answers

Answer:

sum of the product 5+0.35=5.35

sum if product 0.75+8=8.75

Answer:

Step-by-step explanation:

product of 5 and 0.35 = 1.75

product of 0.75 and 8 = 6

their sum = 1.75 + 6 = 7.75

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

[tex]1\frac{7}{9}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{3}[/tex] is the same as 4/3 so you'd be multiplying 4/3 x 4/3 so you multiply straight across to get 16/9 when you simplify you are left with 1 7/9

Hope that helps and have a great day!

Answer:

m=1

Step-by-step explanation:

See the attached above.

Good luck :')

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

Answer:

C.) False, counterexample of 15

1) 15 is divisible by 3 but not by 6

we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3

BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6

2) 12= 3*4 & 6*2

SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'

Answer:

c. False, counterexample of 15

Step-by-step explanation:

This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3

Answer:

A

Step-by-step explanation:

im a 100% sure it is A

tttttttt

Answer:

yes it is a

Step-by-step explanation:

hahahah i dont know how to explain this i just guessed lol

Answer:

A) true

B) false

c) true

d) true

Step-by-step explanation:

A) angles 7 and 6 are vertical angles, which means they're equal.

so, A is True.

B) angles 7 and 5 are supplementary angles, which means they add up to 180. 135 + 55 is 190. so B is False

C) angle 7 is equal to angle 3, which is supplementary to angle 1.

so, 55 + angle 1 = 180

55 + angle1 = 180

subtract 55 from both sides of the equation

angle1 = 180 - 55

angle 1 = 125.

angles a and 4 are vertical angles, so they are equal. if you add them together that would be 125 + 125

125 + 125 = 250

so, C is True

D) angles 1 and 6 are supplementary, and angles 2 and 7. since they both add together to make 180, D is True

Answer:

odd

Step-by-step explanation:

Answer:

93.33

Step-by-step explanation:

You just multiply the $100 by the change rate to get the new currency

Answer:

107.15 :)

Step-by-step explanation:

You are traveling to Japan and need Japanese Yen (JPY)

We need to convert $100 USD to JPY

If conversion rate is $1USD = 0.9333JPY

The value of $1 USD is 0.9333 JPY

Let in $100 USD get x JPY

 100/.9333

=107.15

Answer:

I believe its 8.18 hope I helped. =)

Answer:

8.1785 to the nearest hundredth is 8.18.

Step-by-step explanation:

1. I left 8. and change the .1785 because 17 is the hundredths place. Next I took the .1785 and rounded it to .18 because the 85 is above 50.

2. I put the two numbers together (8. & .18) and I got 8.18.

I hope this helps:)

Answer:

Move three units left on the x axis and 4 units up on the y axis from the origin

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

That is because ordered pairs are written as (x,y) and for the ordered pair (3,4), 3 is x and 4 is y. The x-axis is the horizontal (left and right) line, the y-axis is the vertical line (up and down). The numbers are positive, so you go 3 units right and 4 units up.  

Answer:

Step-by-step explanation:

g(x)= x - 3

f(x - 3)= (x - 3)^2 - 2

           x^2 - 6x + 9 - 2 = x^2 - 6x + 7

b is the answer