A group of students organized a car wash to raise money for a local charity. The students charged $9.99 for each car they watched. In 3.5 hours they washed 14 cars.at that rate how much money could they earn in 8 hours?

Answers are in bold.

22. b/c

24. sqrt(17)/17

26. 1/4

28. sqrt(17)/17

30. 1/2

32. sqrt(2)/2

34. sqrt(3)/2

36. Approximately 5.4077 units

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Explanation:

Problem 22

To get the cosine ratio, we divide the adjacent over hypotenuse.

cos(angle) = adjacent/hypotenuse

cos(x) = b/c

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Problem 24

To get the sine ratio, we divide opposite over hypotenuse.

[tex]\sin\left(\text{angle}\right) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin\left(\text{x}\right) = \frac{2}{2\sqrt{17}}\\\\\sin\left(\text{x}\right) = \frac{1}{\sqrt{17}}\\\\\sin\left(\text{x}\right) = \frac{1*\sqrt{17}}{\sqrt{17}*\sqrt{17}}\\\\\sin\left(\text{x}\right) = \boldsymbol{\frac{\sqrt{17}}{17}}\\\\[/tex]

In the fourth step, I multiplied top and bottom by sqrt(17) to rationalize the denominator.

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Problem 26

tan(angle) = opposite/adjacent

tan(x) = 2/8

tan(x) = 1/4

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Problem 28

cos(y) = sin(x) in this case. The general rule is that sin(A) = cos(B) if and only if A+B = 90.

Therefore the answer is exactly identical to problem 24.

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Problem 30

sin(30) = 1/2 is something you either memorize or look up on a reference chart, or use the unit circle. Alternatively, you can use a 30-60-90 triangle template.

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Problem 32

[tex]\sin\left(45^{\circ}\right) = \boldsymbol{\frac{\sqrt{2}}{2}}\\\\[/tex] is something you memorize or have on a reference sheet. You could also use a 45-45-90 triangle.

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Problem 34

[tex]\cos\left(30^{\circ}\right) = \boldsymbol{\frac{\sqrt{3}}{2}}\\\\[/tex] is similar to problems 30 and 32 in that you should memorize this or have it on a reference sheet. You could use a 30-60-90 triangle template here.

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Problem 36

Let x be the length of side AC.

Use the tangent ratio to find x.

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(31) = x/9

x = 9*tan(31)

x = 5.4077 approximately

Step-by-step explanation:

A is excluded because in the second() x² should be negative

B is excluded because if you solve it -(-x² give you + x²

C is excluded because in the second() 2x and 1 should be negative

so D is right

Answer:

  B'(-6, 6)

Step-by-step explanation:

The dilation factor multiplies each coordinate value.

  B(-2, 2) dilated by 3 ⇒ B'(-6, 6)

Answer:

the actual profit after working expenses not included in the calculation of gross profit have been paid.

Step-by-step explanation:

To calculate the net profit figure, subtract the total expenses from the total revenue, as seen in the following equation: Net profit = Total Revenue - Total Expenses. In this equation, revenue represents the total amount of money earned from product sales in addition to income from other places, including investments.

tan 47 = (side opposite the angle that is 47 degrees) / (side beside angle that is 47 degrees)

tan 47 = x/15

x = 15*tan47 = 16.09

Hope that helps!

Answer:

Step-by-step explanation:

4A3-9B2

Answer:

12cmt^{12}

Step-by-step explanation:

Answer:

1.75 bags of dog food.

Step-by-step explanation:

7/4 = 1.75

Each dog gets 1.75 bags of dog food.

Have a great day!

Please rate and mark brainliest!

Answer:

  0.877

Step-by-step explanation:

The probability number can be found with a suitable app or calculator. A TI-83 will tell you ...

  normalcdf(-10,1.16) = 0.8769755969

The probability is about 0.877.

Answer:

460,000 is answer

ok

Step-by-step explanation:

mark brainleat

Answer:

Complementary angles

adjacent angles

Step-by-step explanation:

[tex]< 1+ < 2=90[/tex]°

⇒     complementary angles

The sum of two angles is 90° are complementary angles.

[tex]< 1[/tex] is close to [tex]< 2[/tex]

⇒     adjacent angles

I hope this helps you:)

Answer:

  (a) 10

  (b) -3 3/4

  (c) -4/3

Step-by-step explanation:

Function values can be found by direct substitution of the argument into the function expression. Inverse function values can be found by solving the function equation for the variable value.

f(-2)= 3(-2)² -2 = 12 -2

f(-2) = 10

__

g^-1(-3/4)

-3/4 = x +3

-3 3/4 = x . . . . . . subtract 3

__

Substitute the expressions as required and solve for x.

  f(g(x)) = g(f(x))

  f(x+3) = g(3x² -2)

  3(x +3)² -2 = (3x² -2) +3

  3(x²2 +6x +9) -2 = 3x² +1

  3x² +18x +25 = 3x² +1

  18x = -24

  x = -24/18 = -4/3

_____

Additional comment

When solving an equation graphically, we like to write it in the form h(x) = 0 when possible. The graphing calculator easily identifies x-intercepts. This form makes each solution an x-intercept.

  f(g(x)) = g(f(x))   ⇔   f(g(x)) -g(f(x)) = 0

__

The value of the inverse function can be found similarly. We want to find x such that g(x) = -3/4, so we can look for the solution to g(x) +3/4 = 0.

Answer:

○[tex]\displaystyle yes; k = 4; y = 4x[/tex]

Step-by-step explanation:

All you are doing is plugging numbers into each answer choise to determine the equation and constant of variation. When you do, you will arrive at this answer. You could also apply mental mathematics to determine whether or not these chart displays a scale factour of 4, which they do.

I am joyous to assist you at any time.

Hello.

We have a point that the line passes through:

[tex]\mathrm{(-5,-1)}[/tex]

We also have the line's slope:

[tex]\mathrm{4}[/tex]

Right now, we do not have enough information to write the equation of the line in slope-intercept form. We need to know the slope and the y-intercept. We do know the slope, but we do not know the y-intercept...yet.

We do have enough information to write the line's equation in Point-Slope Form:

[tex]\mathrm{y-y1=m(x-x1)}[/tex]

Plug in the values:

[tex]\mathrm{y-(-1)=4(x-(-5)}[/tex]

[tex]\mathrm{y+1=4(x+5)}[/tex]

Use the Distributive Property (a(b+c)=ab+ac) :

[tex]\mathrm{y+1=4x+20}[/tex]

Move 1 to the right:

[tex]\mathrm{y=4x+20-1}[/tex]

Subtract:

[tex]\mathrm{y=4x+19}[/tex]

Now we have the equation in slope-intercept form.

Therefore, the answer is

[tex]\mathrm{y=4x+19}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

[tex]\displaystyle y = 4x + 19[/tex]

Step-by-step explanation:

Plug the information into the Slope-Intercept Formula like so:

[tex]\displaystyle y = mx + b \\ \\ -1 = 4[-5] + b \hookrightarrow -1 = -20 + b; 19 = b \\ \\ \\ \boxed{y = 4x + 19}[/tex]

I am joyous to assist you at any time.

Answer:

210

Step-by-step explanation:

The mean=210

When your doing mean next time this is how you do it. you add up all the numbers so 210 225 206 214 180 and 225. The you divide by the total of numbers so there are a total of 6 numbers.

When you add up all these numbers it has a total amount of 1,260.

so what is 1,260 divided by 6? It=210.

Would you like to also know mode median and range.

Median=212
When you do median you sort the list of numbers least to greatest and the middle number is median now since there are an even amount of numbers you would use 3 and 4 since were on 6 and do the middle between them 2 so 210 and 214.

The middle number between them is 212 and that's your answer,

Mode=All the numbers above and for the list of numbers here,all the numbers appear the same amount of times because dealing with mode,mode is the number or numbers that appears most in the data set,and for this one they all appear once.

Range=45

Range is the highest number-the lowest number so 225-180=45.

Minimum is 180 because minimum is the lowest number in the data set.

Maximum is 225 because maximum is the highest number in the data set.

Hope it helps have a great day:)

Answer:

(-3, 1, 2, 6, 7)

Step-by-step explanation:

coordinates work like (x,y)

range is the y values

domain is the x values

Answer:

"The maximum speeds we found were approaching, you know, approximately 100 kilometers an hour; they can go incredibly fast," says Chapman. That means millions of moths fly together at about 60 miles an hour. That's faster than many birds migrate.

Step-by-step explanation:

Hope it help a bit of your problem :-)

Answer:

label a graph doing -5,-8, and 4,4  use the formula which is

d = ( x 2 − x 1 )^2 + ( y 2 − y 1 )^2

 x2-x1 = 4–2= 2 Y2–Y1 = 1–3 = -2 d=√(2)^2+(-2)^2 =√4+4 = √8 d= 2√2

so this is the same thing the person above me did but I've been typing this out so long I want to go ahead and submit anyway

Answer:

[tex]20 { }^{2} + 21 {}^{2} = 29 {}^{2} [/tex]

Step-by-step explanation:

[tex]according \: to \: pythagoras \: thorem \: \\ 20 {}^{2} + 21 {}^{2} = 29 {}^{2} [/tex]

PLEASE RATE AND MARK BRIANLIEST!!!!

Answer:

Step-by-step explanation:

An engagement ring is likely very precise. The ring sizes used by some jewelers differs from the next size by 0.8 mm. As a % that's .8 / 16.5  * 100 = 4.80 %

The 0.8 is the number of mm needed to go from a size 6 to a size 7 ring size. So if you are ever going to buy a ring, be sure and let a jeweler measure the finger that it will go on.

The 16.5 mm is the diameter of the ring in mm. for a size 6 ring. If you have different information, you should go with what you have,

Size 14 dress

I can't answer this: it depends on where you live -- Europe or the US.

Also the type of dress matters: is it a skirt or a skirt and blouse combination. The % of the sides is much larger than 4% for the ring but it is still a definite description.  

Small Medium or Large

Depends entirely on where the garment is made, and where it is being sold.

Wish tells you to add a size if you live in North America. This too is not very distinct.

Answer:

One solution

Step-by-step explanation:

To start, let's simplify the equations to slope-intercept form

y - 1/4x = =1

  +1/4x     +1/4x

y           = 1/4x - 1

y - 2 = 4x

  +2          +2

y       = 4x + 2

As you can see, the equations do not have anything in common worth mentioning. The slopes are different and the y-intercepts are different, so there must be only one solution.

Feel free to ask me any questions in the comments! :D

8 tons = 16000 pounds

conversion:

1 tons ➟ 2000 pounds

8 tons ➟ (2000 * 8) pounds

8 tons ➟ 16000 pounds   ⚡⚡

The amount 8 tons in pounds can be written as 16, 000 pounds.

To convert 8 tons to pounds,

we need to know that 1 ton is equal to 2,000 pounds.

We know that when a smaller unit converted to big unit then we have to multiply.

So, the conversion of 8 tons to pounds

= 8 tons x 2,000 pounds/ton

= 16,000 pounds

Thus, the amount 8 tons in pounds can be written as 16, 000 pounds.

Learn more about Unit Conversion here:

https://brainly.com/question/14523259

#SPJ6

Answer:

AC.

Step-by-step explanation:

AC as you can see line AC is going through point F making a diameter.

hope this helps you

have a great day

Answer:

Repost with original question.

Step-by-step explanation:

The equation given does not contain an x value and therefore cannot be solved.

Answer:

yes

no

no

no

.............

Answer:

No

Step-by-step explanation:

Given the following question

In order to prove if three lengths can create a triangle two of the three sides added together HAS to be greater than the third side.

[tex]a+b > c[/tex]
[tex]1+10=11[/tex]
[tex]11 < 20[/tex]

Which means your answer is "no," the given sides cannot create a triangle for they do not pass the Triangle Inequality Theorem.

Hope this helps.

Solution:

We know that:

Verification:

Conclusion:

The given side lengths cannot be a triangle.

Answer:

d = 13

Step-by-step explanation:

3×4+1=13

please mark brainlist me

Answer:

d=13

Step-by-step explanation:

Multiply:

3x4=12

Add:

12+1=13

Add Equations:

d=13

Hence, the correct answer is d=13

Answer:

(7, -8)

Step-by-step explanation:

just count for the x

1 2 3 4 5 6 7

thats where rome is then count down

0 -1 -2 -3 -4 -5 -6 -7 -8