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Answer:

- 12 /13

Step-by-step explanation:

Given that:

Cot(θ) = 5 /12 ;

Recall ; cot θ = 1 / tan θ ; tan θ = sin θ / cos θ

Hence ;

tan θ = 1 / cot θ

tan θ = 1 ÷ (5 / 12)

tan θ = 1 * 12 /5 = 12/5

Tan θ = opposite / Adjacent = 12 /5

Sin θ = opposite / hypotenus

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √12² + 5²

Hypotenus = √(144 + 25)

Hypotenus = √169

Hypotenus = 13

Hence,

Sin θ = opposite / hypotenus = 12 / 13

pi < theta < 3pi/2 lies in the 3rd quadrant ; SinΘ will be negative ;

Sin θ = - 12 /13

Answer:

A

Step-by-step explanation:

Ed2021

Answer:

I would say the last one

Step-by-step explanation:

The third works the same way but 46/17 is hard to calculate without a calculator

Answer:

The correct answer is B because you had less when the friend did not give you the money. Therefore before you had 3.50-1.65

Step-by-step explanation:

Answer:

A positive 11

Step-by-step explanation:

11 is your answer

Answer:

14

Step-by-step explanation:

If he has a total of 24

and he just purchased 10

24-10= 14

The correct answer is C plane HJG

Answer:

x=2/15

Step-by-step explanation:

1/5+x+2/3=1

3/15+x+10/15=15/15

13/15+x=15/15

x=2/15

Answer:

the answer to your question

Answer:

a=3

Step-by-step explanation:

24= -3(2a-15)-a -->given

24=-6a+45-a -->distribute the -3

24=-7a+45 -->combine like terms

-21=-7a -->subtract 45 from both sides

3=a -->divide both sides by -7

Answer:

[tex]x = - \frac{7}{3} [/tex]

step by step:

3x+5=-2

move constant to the right-hand side and change it's sign

3x=-2-5

Calculate the difference

3x=-7

Divided both sides of the equation by 3

Answer:

25

Step-by-step explanation:

so lets write our ratios.

Students that wear glasses to the whole class:

2 : 5

Students that wear glasses to those that dont:

2 : 3

And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be

10 : 15

10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.

Answer:

To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.

Step-by-step explanation:

Answer:

83.40

Step-by-step explanation

_______________2 0________

×     4 1 7

________________________

+     1 4 0

+     2 0  

+   8 0

___________________________    

=  8 3. 4 0

Answer:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

Answer:3

Step-by-step explanation:

Answer:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Step-by-step explanation:

Given that polynomial:

[tex]p(x)=x^3-7x-6[/tex]

Known factor: [tex](x+1)[/tex]

To find:

Equation of the polynomial as the product of linear factors.

Solution:

The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic.  That quadratic will have 2 solutions.

We can solve the quadratic in two linear factors and as a result we will have the answer.

First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.

[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]

Solving the quadratic:

[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]

So, the answer is:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Answer:

(x+1)(x+2)(x-3)

Step-by-step explanation:

Answer:

AB and AC

Step-by-step explanation:

I think I'm not 100 but....

Answer:

x = 2

Step-by-step explanation:

I assumed that you wanted me to set them equal to each other, so that is what I did. I wasn't given any other number to go by so hopefully this is correct.

Answer:

12

Step-by-step explanation:

X x Y =20 So 12 Then 12 - 12 + 12 = 12

Answer:

R:{-1,14,26}

Step-by-step explanation:

The domain of a function is all the x-values of the function. The range of a function is all the y-values of the function. Therefore, we must plug in every x-value in the function to get our outputs to create our range:

Given: y=3x+14

When x=-5:

y=3(-5)+14

y=-15+14

y=-1 (this is the first point of the range)

When x=0:

y=3(0)+14

y=0+14

y=14 (this is the second point of the range)

When x=4:

y=3(4)+14

y=12+14

y=26 (this is the last point of the range)

Therefore, our range is R:{-1,14,26}

The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is

{ -1, 14, 26 }.

We have,

To find the range for the given domain of {-5, 0, 4} in the equation

y = 3x + 14, we substitute each value of the domain into the equation and determine the corresponding range values.

When x = -5:

y = 3(-5) + 14

y = -15 + 14

y = -1

When x = 0:

y = 3(0) + 14

y = 0 + 14

y = 14

When x = 4:

y = 3(4) + 14

y = 12 + 14

y = 26

Therefore,

The range for the given domain {-5, 0, 4} in the equation y = 3x + 14 is

{ -1, 14, 26 }.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

Answer:

Total gallons= 597,420

Step-by-step explanation:

Giving the following information:

Pump A dispensed 241,752 gallons.

Pump B dispensed 113,916 more gallons than Pump A.

First, we will calculate the number of gallons dispensed by Pump B:

Pump B= Pumb A + 113,916

Pump B= 241,752 + 113,916

Pump B= 355,668 gallons

Now, in total:

Total gallons= 241,752 + 355,668

Total gallons= 597,420

Answer:

9 quarts of blue paint

Step-by-step explanation:

the ration is 3:2

2 times 3 is 6, so multiply the 3 from the blue paint to 3 as well

Answer:

A. -80

B. 60

C. 98

D. -54

Step-by-step explanation:

ez give brainliest pls

Answer:

x = -1 you have to combine like terms.

Answer:

b.y=1/2x-3

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I took the assignment

Answer:

I didn’t really encounter any difficulty in determining a polynomial. The issue was that numbers with negative exponents or those which had square roots in them aren’t referred to as polynomials.

The only minor issue was solving problems with numbers which had different exponents in them and needed some form of simplification.

Answer: 0.31

Step-by-step explanation:

Simple division.

Answer

the Answer is 12

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Remember that "of" in math means the same as multiplication.

2/5 * 110 = 44

Answer:

44

Step-by-step explanation:

2/5×110

of in mathmatics means multiplication

Therefore, the answer is 44

Answer:

24

Step-by-step explanation:

if 6 exhibits are 25% of the entire zoo. You would need four times that amount to get the total number of exhibits because 25% × 4 = 100%. So, if you multiply 6 × 4 the total number of exhibits would be 24.