Given tan⁡ θ = 7/24, and ⁡θ terminates in Quadrant III, determine the value of cos⁡ θ.

Answer:

the answer is 196

Step-by-step explanation:

Answer:

i think that the correct answer might be 196

Answer:

933mounths=77years and 9 mounts

Answer:

[tex]77\frac{3}{4}[/tex] years = 933 months

77.75 years = 933 months

Step-by-step explanation:

1 year = 12 months

y = 933 months

[tex]\frac{1}{12}= \frac{y}{933}[/tex]

12 × y = 933 × 1

12y = 933

12y ÷ 12 = 933 ÷ 12

y = 77.75

Option (A) 18 = 0.1s

Step-by-step explanation:

Every seventh-grade student at Martin Middle School takes one world language class.

Now we will form the equation as per statement of the question.

Let total students of seventh-grade = s

" one tenth of seventh grade students take  French."

" Students who took French were 18."

So  of s = 18

(0.1)s = 18

therefore, Option (A) 18 = 0.1s is the answer.

Answer

a

Step-by-step explanation:

A customer earns 1 free night per 10 nights stayed.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, we have,

A hotel offers a reward program based on the number of nights stayed. The function f(x) represents the number of free nights earned as a function of x, the number of nights stayed.

f(x)=x/10

When we put x=10, we get f(1)=10/10=1

Here f(1)  represents the number of free nights earned by the customer is 1 per 10 nights stayed.

When we put x=20, we get f(2)=20/10=2

Here f(2)  represents the number of free nights earned by the customer is 2 per 20 nights stayed.

When we put x=30, we get f(3)=30/10=3

Here f(3)  represents the number of free nights earned by the customer is 3 per 30 nights stayed.

When we put x=40, we get f(4)=40/10=4

Here f(4)  represents the number of free nights earned by the customer is 4 per 40 nights stayed.

Then, the pattern permits you to conclude that a customer earns 1 free night for every 10 nights stayed.

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complete question:

a hotel offers a reward program based on the number of nights stayed. the function f(x) represents the number of free nights earned as a function of x, the number of nights stayed. f(x)

Answer:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area

Step-by-step explanation:

Answer:

no, yes, yes , no, yes

Step-by-step explanation:

Answer:

approximately 15 ice cones

Step-by-step explanation:

volume of cylinder is V=πr2h

volume of cone is V=πr2h

3

Answer:

Water Stats

The average family can waste 180 gallons per week, or 9,400 gallons of water annually, from household leaks. That's equivalent to the amount of water needed to wash more than 300 loads of laundry. Household leaks can waste approximately nearly 900 billion gallons of water annually nationwide.

Step-by-step explanation:

THATS FOR NUMBER 2

Answer:

19.3 Gallons

Step-by-step explanation:

83066/1000 to get back to liters

83.066 Liters/4.54=19.3 Gallons

Answer:[tex]- \frac{5}{12}[/tex]

Step-by-step explanation:

https://www.symbolab.com/

Answer:

Okay so you are going to get -5/12

Step-by-step explanation:

what you are going to do first is look at your signs the plus and minus signs are there to try and mix you up. What you are doing is subtracting all three of these fractions... Okay?

3/4 - 1/2 - 2/3

What you need to do is turn 1/2 into 1/4 because when adding or subtracting fractions you need to have the same denominator.

Subtract:

3/4 - 2/4 = 1/4

Now you are going to have to multiply the tops and the bottom of 2/3 by four (you should get 8/12) and multiply 1/4 (top and bottom) by three (you should get 3/12). This allows you to subtract 2/3 and 1/4 to get a product of 5/12. You can not simplify this fraction any further so you have your answer!

-5/12

*EDIT

Don't forget the minus sign.

Answer:

Answers are below

Step-by-step explanation:

29. 3(4x-5) + 4(2x+6)

Solution: 20 + 9

30. -8(2a - 3b) - 5(6b - 4a)

Solution: 4 − 6

31. 10(5g + 2h - 3) - 4(3g - 4h + 2)

Solution: 38 + 36ℎ − 38

hope this helps :) Let me know if you need any further explanations.

Answer:

The slope of any vertical line is undefined.

Step-by-step explanation:

The slope of a line is the change in Y divided by the change in X. The slope of a horizontal line = 0 (not undefined). The slope of a vertical line is undefined, however. Hope this helps; have a great day!

Answer:

1. start is 1/3

2. is 1/3

3. is 1 out of 2

4. is 1 out of 6

5. is 2 out of 3

6. is 1 out of 2

7. is 5 out of 6

8. is 1 out of 6

then finished!!!

I hope this helped

Answer:

The orange (fruit) definitely got named first.

In ancient time, people hunt animals with old hunt tools. We can see some examples of old hunting tools.

And if they used bow, then I think they made string from raw materials like tree's branded peels.

Step-by-step explanation:

240 I'm pretty sure

cause the whole circle is 360 and the minor arc is 120 so subtract it

Answer:

x=30/96

Step-by-step explanation:

x=31%

Answer:

0.88 cubic inches

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

x = -y

2x + 2y = 6

2(-y) + 2y = 6

0 = 6

Answer:

y=-100x+700

Step-by-step explanation:

Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100

So your slope would be m=-100

To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:

y=mx+b (Slope-intercept form)

y=-100x+b (Equation so far)

200=-100(5)+b [Plugging in (5,200)]

200=-500+b

700=b

So since the y-intercept is b=700, then the equation of the line is y=-100x+700

Answer:

Hola que hace

:I

Step-by-step explanation:

The median of the math scores is = 79%.

You can understand more about calculation of median of a set of numbers below.

The total number of sophomores is = 8

The percentage score of each sophomore = 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%.

To calculate the median of the percentage scores, arrange the scores in ascending order and pick the figure in the middle as the median math score.

72, 74, 76, 78, 80, 82, 92, 92

Here the median is two figures 78, and 80 which are located in the middle. The median is =>78 +80/2

= 158/2 = 79%

Therefore, the median of the math scores is = 79%

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-----------------------

A. 79%

edge 2022 :)

------------------------

Answer:

x=4.2

Step-by-step explanation:

7.8x  =   32.76

/7.8          /7.8

x=4.2

Answer:

1- 35/37

2- 12/37

3- 35/37

4- 12/37

Step-by-step explanation:

The sine of an angle is the ratio of the opposite to the hypotenuse while the cos of an angle refers to the ratio of the adjacent to the hypotenuse. Therefore, the following is true:

These are fractions that can't be simplified, so they remain the same.

Hope this helps!!

The measure of the trigonometric relations are solved

sin D = 35/37

sin E = 12/37

cos D = 12/37

cos E = 35/37

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔDEF

Now , the measure of sides of triangle are

The measure of side DE = 37

The measure of side EF = 35

The measure of side DF = 12

Now , from the trigonometric relations

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

On simplifying , we get

sin D = 35/37

sin E = 12/37

cos D = 12/37

cos E = 35/37

Hence , the measures of trigonometric relations are solved

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Answer:

The cost of the aquarium was $38

Step-by-step explanation:

I got 60% of 100 and it was 60 so it was $40 but then the sales tax was $2 so I subtracted and got 38

The total cost of the aquarium is the sum of the marked down price and

the sales tax.

The total cost of the aquarium is $42

Reasons:

The known information are;

Original price of the aquarium = $100

The marked down percentage of the aquarium = 60%

The sales tax = 5%

[tex]Mark \ down = \dfrac{Difference}{Current \ selling \ price} \times 100[/tex]

[tex]60 \% = \dfrac{Difference}{100} \times 100[/tex]

Which gives;

The difference in sale = $100 - Marked down price = $60

Marked down price = $100 - $60 = $40

The marked down price = $40

The tax is applied to the marked down price, therefore, we get;

Sales tax = 5% × $40 = $2

The total cost = Marked down price + Sales tax

The total cost of the aquarium = $40 + $2 = $42

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