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Answer:

The radius of the arc is 5

Step-by-step explanation:

An arc is a part of the circumference of a circle that has been cut out. It can be best understood as an incomplete circle. The length of the arc is how long the arc is.

The formula relating how long the arc is with its radius is

length of arc = [tex]\frac{\theta}{360} \times 2 \pi R[/tex]

where R is the radius we are looking for.

Θ = 135 which can be seen as the arc angle

[tex]R =\frac{l \times 360}{\theta \times 2 \pi} =\frac{(15 \pi /4) \times 360 }{135 \times 2 \pi}=5[/tex]

The radius of the arc = 5

Answer: n= −3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8(4n+3)=−72

(8)(4n)+(8)(3)=−72(Distribute)

32n+24=−72

Step 2: Subtract 24 from both sides.

32n+24−24=−72−24

32n=−96

Step 3: Divide both sides by 32.

32n/32 = −96/32

n=−3

Answer:

n= -3

Step-by-step explanation:

32n+24=-72

(subtract 24)

32n=-96

(divide by 3)

n=-3

Answer:

8 x X - 27 = 1789

Step-by-step explanation:

Is your expression.

Answer:

8x-27=1789

Step-by-step explanation:

Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.

Answer:

0.0045045045

Step-by-step explanation:

Have a good day I hope this helps! :)

Answer:

The slope will be y=x-1 because it parallels to y=x+5 and hits point (3,2)

Step-by-step explanation:

Hope This Helped

i don't know what ur say can u be more specif sorry

Answer:

24 + 72 = 96

Step-by-step explanation:

20 + 70 = 90

4 + 2 = 6

90 + 6 = 96

You can first add the ones and then add the tens start always from the ones place gradually getting the higher value digit, to make it easier stack them.

   72

   24

+____

    96

Answer:

9.6 x 10

Step-by-step explanation:

24 + 72 = 96

Answer:

-64

Step-by-step explanation:

Answer:

I’m pretty sure the answer is $84

Step-by-step explanation:

Answer:

x = 10

y = [tex]10\sqrt{2}[/tex]

Step-by-step explanation:

Let me know if you want an explanation.

Answer:

21 glasses can be filled

Answer:

equation: x(1.25) + 6.75 = 31.75 refills: 20

Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

Now we solve the equation. First, subtract 6.75 from each side

x(1.25) + 6.25 = 31.75

            -6.25    -6.25

Now we have "x(1.25) = 25" So we have to divide each side by 1.25

x(1.25/1.25) = 25/1.25

                x = 20

Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.

20(1.25) + 6.75 = 31.75

        25 + 6.75 = 31.75

                31.75 = 31.75

I'm not the best at explanations, but I hope this helped! :)

9514 1404 393

Answer:

  9 feet

Step-by-step explanation:

The sine relation applies.

  Sin = Opposite/Hypotenuse

  sin(30°) = height/(18 ft)

  height = (18 ft)sin(30°) = (18 ft)(1/2)

  height = 9 ft

The ladder extends 9 feet up the side of the building.

Answer:

10% dicount

Step-by-step explanation:

76.50 / 85.00 = .9

The airplane cost 90% of its original value, meaning you have a 10% discount

10% of 85 =  .1 x 85 = 8.50

85.00 - 8.50 = 76.50

Given:

The ratio of cats to dogs is 3:7.

12 dogs escaped and the ratio is now 3 : 4.

To find:

The total number of animal at the beginning.

Solution:

Let the number of cats and dogs at the beginning are 3x and 7x respectively.

12 dogs escaped. So, the remaining number of dogs is (7x-12).

New ratio of cats and dogs is 3:4.

[tex]\dfrac{3x}{7x-12}=\dfrac{3}{4}[/tex]

[tex]4(3x)=3(7x-12)[/tex]

[tex]12x=21x-36[/tex]

[tex]12x-21x=-36[/tex]

[tex]-9x=-36[/tex]

Divide both sides by -9.

[tex]\dfrac{-9x}{-9}=\dfrac{-36}{-9}[/tex]

[tex]x=4[/tex]

Now, the total number of animals at the beginning is

[tex]Total=3x+7x[/tex]

[tex]Total=10x[/tex]

[tex]Total=10(4)[/tex]

[tex]Total=40[/tex]

Therefore, the total number of animals at the beginning is 40.

Answer: See explanation

Step-by-step explanation:

Let the coupling that are in the second box be represented by x.

We are informed that a box contains 315 half inch conduit couplings and weighs 119 pounds and that an identical box also contains half-inch conduit couplings and weighs 47 pounds. This can be represented in an equation as:

315/119 = x/47

Cross multiply

119 × x = 315 × 47

x = (315 × 47) / 119

x = 14805/119

x = 124.4

There are about 124 couplings in the box.

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Cacique comes from the Taíno word kassiquan, meaning "to keep house". In 1555 the word entered the English language as "prince". In Taíno culture, the cacique rank was hereditary and sometimes established through democratic means.

hope it helps you,

Mark me as the brainliest....

Follow me!

Answer:

5/3

Step-by-step explanation:

image/pre-image

15/9 simplified is equal to 5/3 which is the scale factor

Answer:

1145

Step-by-step explanation:

830(2) 28/13

​   ^ do that ok??????? plug it in!!!!!!!!

then do u know what u will get? u will get this !!!!!! y = 1145.09631989

round 2 da whole numba and den boom shakalaka B ) i got my question wrong so that i could put the right answer here. bye yall

The number of bacteria doubling every 28 hours will be 1145 after 13 hours.

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

In the case of doubling the growth of bacteria, we can use the formula,

[tex]y_f = y_0\times2^{\frac{t_r}{t}[/tex], where [tex]y_f[/tex] represents the final population, [tex]y_0[/tex] is the initial population, [tex]t_r[/tex] is the time we are required to determine, and [tex]t[/tex] represents the time rate growth.

Therefore from the given information, the number of bacteria after 13 hours will be,

[tex]y_f = 830\times2^{\frac{13}{28}[/tex].

[tex]y_f = 830\times1.38[/tex].

[tex]y_f = 1144.86[/tex] or 1145 bacterias.

Q. In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 hours, to the nearest whole number?​

learn more about bacteria growth problems here :

https://brainly.com/question/14106525

#SPJ2

Answer:

what graph ? i do not see one

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

The gradient = (12-6/(10-8)

= 6/2

= 3.

Answer:

a=9.4cm

b=12.0cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 solution: x=13/3

========================================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

For more details refer to the link given below.

https://brainly.com/question/11280532

Answer:

The answer is 12x+6y-24

Step-by-step explanation:

Answer:

12x + 6y -24

Step-by-step explanation: