Eman skateboarded 24 miles in 2 hours on Monday and 6 miles in half an hour on Wednesday . Hiro has been tracking his speed while riding his bike also. He noticed that he can bike 15 miles per hour. What is Eman's unit rate?

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

[tex]\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}[/tex]

                            [tex]= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m[/tex]

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

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Work Shown:

Estimate = 1.25*(actual time)

Estimate = 1.25*(16)

Estimate = 20

Bryan estimated it would take 20 minutes.

Note: The multiplier 1.25 represents an increase of 25%

Answer:

4xy^5√5

Step-by-step explanation:

√80 x √x² x √y^25

=4√5 x x x y^5

= 4√5xy^5

Answer:

  4xy^12√(5y)

Step-by-step explanation:

Squares under the radical can be factored out.

  [tex]\displaystyle \sqrt{80x^2y^{25}}=\sqrt{(4xy^{12})^2\cdot5y}=\boxed{4xy^{12}\sqrt{5y}}[/tex]

_____

Additional comment

Some versions of this question may have different exponents.

Answer:

480

Step-by-step explanation:

[tex]80*6[/tex] = 480

Answer:

She will travel 480 miles in 6 hours

Step-by-step explanation:

All you need to do is Multiply 80 by 6 to get an answer of 480.

Hope that helps!

Answer:

-1/15 is the slope

Use the y2-y1/x2-x1 formula and plug in the variables

Answer:

[tex]V = 9878.44 in^3[/tex]

Step-by-step explanation:

The volume of a cylinder, is essentially base multiplied by height. Think of it like this, you are taking a flat 2D circle and extending it in 3rd dimension by a length 'h'.

[tex]V = base * h[/tex]

The base here is the circle area, and the height is the amount you extended that 2d circle in the 3rd dimension.

The area of a circle is [tex]\pi r^2[/tex]. If we put that into our equation we get the volume of a cylinder.

[tex]V = \pi r^2 *h[/tex]

Now applying that to the question; Firstly, we are given the diameter, which is 22 inches. We need radius, to actually put it in the equation. The diameter is essentially 2 multiplied by the radius. That means to get the radius we divide the diameter by 2, giving us 11 inches. Next we are given how tall it is, 26 inches; that is the height.

[tex]r = 11in\\h = 26in[/tex]

Plug these values into the equation.

[tex]V = 3.14(11in)^2 * 26in[/tex]

Calculate this, and you get [tex]V = 9878.44 in^3[/tex]

The BAC of the female is an illustration of proportion

BAC is calculated using:

BAC = Alcohol consumed/(Body Weight * R)

The weight is given as:

Body weight = 140 lb

Convert to kg

Body weight = 63.5 kg

For female

R = 0.55

So, we have:

BAC = Alcohol/(63.5 * 0.55)

BAC = Alcohol/34.925

BAC = 0.029Alcohol

The weight or volume of the alcohol consumed is given.

So, we represent it with w.

BAC = 0.029w

Hence, the BAC after consuming the three drinks is 0.029w

We have:

BAC1 = 0.029w

Time (t) = 3 hours

The BAC after 3 hours is

BAC = BAC1 * (t - 0.015)

So, we have:

BAC = 0.029w * (3 - 0.015)

Evaluate the product

BAC = 0.087w

Hence, the BAC three hours after consuming the drinks is 0.087 w

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Answer:

1-2

Step-by-step explanation: because it went up in speed by 8 and the rest went up not even to 7

Based on the table, we can deduce that the annual rate of increase of the speed was the greatest: A. from year 1 to year 2.

Speed can be defined as the distance covered by an object per unit of time. Thus, speed can be measured as meter per seconds.

Mathematically, speed is given by this formula;

[tex]Speed = \frac{distance}{time}[/tex]

Based on the table, we can deduce that the annual rate of increase of the speed was the greatest from year 1 to year 2.

Rate = 46 - 38 = 8.

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Answer:

₹ 318.96.

Step-by-step explanation:

24/12 = 2 , so twice as much;

159.48 * 2 = 318.96

Answer:

D. A’(-4,-4), B’(-4,4)C’(8,-4)

Step-by-step explanation:

Answer:

and with the fractions and then divide the answer by 2.1

Step-by-step explanation:

Answer:

Its 3 because the radius if half of the diameter

Step-by-step explanation:

Answer:

72pi cubic inches.

Step-by-step explanation:

area = pi r²

r = d / 2

r = 3

3² = 9

9pi x 8 = 72pi.

Answer:

$34,305

Step-by-step explanation:

[tex] a = 29000 {e}^{.021 \times 8} = 34305[/tex]

Answer:

420

Step-by-step explanation:

V = whl is the volume of a rectangular prism. w*h is the area, so V is area times height.

This gives us: V = 30 * 14 = 420.

x - 13 < - 11

x < - 11 + 13

x < 2

Answer:

d because a straight line has the angle of 180

Answer:

(B) is the answer of your question

I suppose, your answers are already given at the bottom of this page..

Answer:

is equal to 925 i think cuz

Step-by-step explanation:

summation of arithmetic sequence

n=1 , 3n-2=3-2=1 , a=1, d=3.

sn=n+3n(n-1)

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

2

a=1 ,d=3 sn= n+3n(n-1)

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

2

S25=25+3×25(25-1)

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

2

25+900=925

so the answer will be 925

calculate the sides of the rectangle in scale factor model

Length: 18 * 1/4 = 4.5 feet

Width: 16 * 1/4 = 4 feet

Rectangle area in scale factor model:

Length * Width

4.5 * 4

18 feet²

Answer:

Given dimensions of a rectangular dining table:

If a scale factor of [tex]\dfrac14[/tex] is used, then we need to multiply each measurement by [tex]\dfrac14[/tex]:

[tex]\implies \textsf{width}=18 \times \dfrac14[/tex]

                [tex]=4.5 \textsf{ units}[/tex]

[tex]\implies \textsf{length}=16 \times \dfrac14[/tex]

                 [tex]=4 \textsf{ units}[/tex]

Therefore, the scale model of the dining room will be 4.5 by 4 units.

Using proportions, it is found that the birth rate fell to 13.5 births for every 1000 people.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, for 306,370,370 people, there were 4,136,000 births. How many births were there for 1,000 people? The rule of three is given by:

306,370,370 people - 4,136,000 births

1,000 people - x births

Applying cross multiplication:

306370370x = 1000 x 4136000

x = 1000 x 4136000/306370370

x = 13.5

The birth rate fell to 13.5 births for every 1000 people.

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Answer:

Those two lines are equal

Answer:

The last option: bottom right

Step-by-step explanation:

The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.

The question is incomplete, as the needed parameters to answer the question are missing.

So, I will list the normal conditions for constructing the confidence interval

The condition for constructing the confidence interval include:

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Answer:

9.138

10.28

11.26

12.55

ANSWER :

9.) 138

10.)28

11.)26

12.)55

HOPE IT HELPS

Answer:

∠ SOU = 138°

Step-by-step explanation:

the opposite angles of a tangent kite are supplementary, sum to 180° , so

∠ SOU + ∠ STU = 180° , that is

∠ SOU + 42° = 180° ( subtract 42° from both sides )

∠ SOU = 138°

= 12 + 10 + 12 + 10

= 2x12 + 2x10

= 24 + 20

= 44 feet of borders

Answer:

its 44

Step-by-step explanation:

add 10+10 then add 12+12

Answer:

4 red marbles

Step-by-step explanation:

r is the number of red marbles then green marbles is 9r , so

r + 9r = 40

10r = 40 ( divide both sides by 10 )

r = 4

there are 4 red marbles