Work out Simplify if possible.

Answer:

The answer would be 3:2, hope it helps

Answer:

Step-by-step explanation:

The shadow length will be proportional to height

12 / 60 = h / 32

h = 12(32)/60 = 6.4 ft or 6 ft 4.8 inches

Answer:

down is $153000 while purchase price is $144000

Answer:

a is 20 cm long

Step-by-step explanation:

I used a triangle solver to get that length, sorry I can't actually prove it step by step

hope this helps!

Step-by-step explanation:

Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:

The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.  

An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.

The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.

The function that represents the given situation is:

C(x) = 5x + 35

In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:

C(x) = 5x + 35

60 = 5x + 35

Subtract 35 from both sides:

60 - 35 = 5x + 35 - 35

25 = 5x

Divide both sides by 5 to solve for x:

[tex]\frac{25}{5} = \frac{5x}{5}[/tex]

x = 5

Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.  

Note:

Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.

Answer:

8

Step-by-step explanation:

x =2, y=6

2(y-x)

#subsitute the variables with their values

2*(6-2)

2*4

8

Alternative(don't do it this way, it's unnecessary but it can be done):

x =2, y=6

2(y-x)

2y - 2x

(2*6) - (2*2)

12 - 4

8

Answer:

10 cups

Step-by-step explanation:

The ratio of flour to sugar to make 3 dozen cookies is 3/2 then a total of 1.33 cups of sugar is required to make 24 cookies.

Addition, subtraction, multiplication, and division of two or even more integers are the four basic mathematical operations. Included among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data provided in the question,

3 dozen = 12 × 3 = 36 cookies.

2 cups of sugar are required to make 36 cookies

Let x cup of sugar is required to make 24 cookies.

36 cookies = 2 cups

24 cookies = x cups

Cross-multiply both the equations above

x = (24 × 2)/36

x = 1.33 cups.

To know more about arithmetic operations:

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Answer:

The equation of the line is: x = 0

Answer:

80 dollars is the correct answer

Answer:

Step-by-step explanation:

1050=1000(1+.5*i)

i= 10%

Since the number of trials is not fixed, an inverse binomial distribution is used.

For each car, there are only two possible outcomes, either they use a blinker during lane change, or they do not. The probability of a car using a blinker during lane change is independent of any other car, which means that the number of cars that do not use a blinker during a lane change is a binomial variable.

A similar problem is given at https://brainly.com/question/25644451

Answer:

Step-by-step explanation:

Given,

Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm

As we know,

Volume of a cuboid = length × breadth × height

Therefore,

Volume of the given cuboid

= 3.6cm × 8.2cm × 11cm

[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]

[tex] = 324.72 {cm}^{3} (ans)[/tex]

Hello there! :)

V=lwh (length times width times height)

We are given that:

Length=3.6 cm

Width=8.2 cm

Height=11 cm

Plug the values into the formula for volume:

V=lwh

V=(3.6)(8.2)(11)

Multiply:

V=324.72 cm³ (cubic centimeters)

Remember, volume is measured in cubic centimeters.

Hope it helps. Please let me know if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature :)[/tex]

Answer:

Aidan can expect to save about $17.63 each week.

Step-by-step explanation:

We have an equation: y = 17.63x + 27.52. This equation is in slope-intercept form. In slope-intercept form, the value before the x (in this case, 17.63) is the slope, and the value added to the slope (in this case, 27.52) is the y-intercept.

Right now, though, we only need to focus on the slope. The slope represents a change in y over a change in x. Our y-values represent total amount saved, and our x-values represent number of weeks. Y over x... so, total amount saved over a certain number of weeks.

The first answer seems to match this the best. Remember that the slope represents how much is saved per week, and our slope is 17.63. So, the first answer (Aidan can expect to save about $17.63 each week) is correct. If you have any more questions or that was confusing at all, let me know! :)

Step-by-step explanation:

a=12/56°

b=14/65°

c=238°

Answer:

tag archives and records and counting the days

Answer:

1st number is 6

2nd number is 30

3rd number is 33

Step-by-step explanation:

Let x be the first number.

The second of three numbers is 5 times the first = 5x

The third number is 3 more than the second = 5x + 3

If the second is decreased by twice the third, the result is -21.

Multiply the third number by 2.

2(5x + 3)

= 10x + 6

Subtract the second number to it.

(5x)-(10x + 6) = -21

-5x - 6 = -21

Use APE or Addition Property of Equality

-5x = -21 + 6

-5x = -15

Use DPE or Division Property of Equality to get the value of x

[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]

x = 3

Now put the value of x in the equation

first number(x) = 6

second number(5x) = 5(6) = 30

third number(5x + 3)

5(6) + 3

30 + 3 = 33

Using the probability concept, it is found that there is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A probability is the number of desired outcomes divided by the number of total outcomes, that is:

[tex]p = \frac{D}{T}[/tex]

In this problem:

Then:

[tex]p = \frac{D}{T} = \frac{97555}{100000} = 0.97555[/tex]

There is a 0.97555 = 97.555% probability that client A lives to be 30 years old.

A similar problem is given at https://brainly.com/question/25790531

Answer: The answer is 0.97424

Step-by-step explanation: The other answer... the math is correct, its just that they have read the source table incorrectly.

Age

29-30 = 97,555

30-31 = 97,424

The correct row is 30-31.

97,424 / 100,000 = 0.97424

You can tell this is the case because look at row 0-1.. its a 100% chance of survival. If you read that row as a '1 year old' then 100% of all people survive until they turn 1? Alas, no, this is not true :(

Answer:

The answer is D

Step-by-step explanation:

D

Answer:

yellow: x=6

red: y=4

blue: y=-2

Step-by-step explanation:

[tex]\red{\rule{45pt}{999999pt}}[/tex]

[tex]csc(\theta )=-5\qquad -\frac{\pi }{2}<\theta <\frac{\pi }{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=-5\implies \stackrel{\textit{using the reciprocal of } csc(\theta )}{\cfrac{1}{sin(\theta )}=-5}\implies \cfrac{1}{-5}=sin(\theta ) \\\\\\ sin^{-1}\left( -\frac{1}{5} \right) = sin^{-1}[sin(\theta )]\implies sin^{-1}\left( -\frac{1}{5} \right) = \theta \implies \begin{array}{llll} -11.54^o\\ ~\hfill or\\ 348.46^o \end{array} \approx \theta[/tex]

The value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

cosec(θ)=−5 for interval [−π/2,π/2].

We know Sinθ=1/cosecθ

Cosecθ=1/sinθ

Now cosec(θ)=−5

-5=1/sinθ

sinθ=-1/5

θ=sin⁻¹(1/5)

θ=sin⁻¹(1/5)

θ=-11.54⁰ or 348.86⁰

Hence the value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

To learn more on trigonometry click:

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Answer:

Step-by-step explanation:

37,4gam

Step-by-step explanation:

we would have needed only one corresponding side length. because for similar triangles all corresponding lines (like sides but also heights and so on) would be related in size by using the same scaling factor.

going from the large to the small triangle : what do I need to multiply the large side length with to get the small one ?

27 × x = 9

x = 9/27 = 1/3

that is the scale factor.

9514 1404 393

Answer:

  (b)  9

Step-by-step explanation:

Maybe you want to simplify ...

  [tex]\sqrt{81}=\sqrt{9^2} =\boxed{9}[/tex]

Answer:

-11

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

4*-2=-8

-8 -3=-5

Answer:

122 degrees-

Step-by-step explanation:

[tex]m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ[/tex]

Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).

Angle AOC is a right angle because angle COE is a right angle.

Answer:

you're correct

Answer:

7

Step-by-step explanation:

The factors of 28 and 63 are

28 : 1, 2, 4, 7, 14, 28

63 : 1, 3, 7, 9, 21, 63

The common factors are 1 and 7

7 is a prime factor of both 28 and 63

Answer:

?? i don't know the answer

Answer:

b = 24 ft

h = 10 ft

Step-by-step explanation:

120 = ½hb

120 = ½h(3h - 6)

240 = h(3h - 6)

240 = 3h² - 6h

 80 = h² - 2h

    0 = h² - 2h - 80

    0 = (h - 10)(h + 8)

    h = 10 ft or -8 ft

 we ignore -8 as it makes no sense for a triangle side length.

b = 3(10) - 6 = 24 ft