On a scale, drawing inches equals 10 miles if the length of the road on the scale is 4 inches which of the following could be used to find the length of the road

Given:

The radius of the circle is 14 cm.

The length of an arc of a circle is one-eighth the circumference of the circle.

To find:

The angle subtended by this arc at the center.

Solution:

Formula for arc length is:

[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]           ...(i)

Where, r is the radius and [tex]\theta [/tex] is the central angle.

The length of an arc of a circle is one-eighth the circumference of the circle.

[tex]s=\dfrac{1}{8}(2\pi r)[/tex]            ...(ii)

Where, [tex]2\pi r[/tex] is the circumference of the circle.

Using (i) and (ii), we get

[tex]2\pi r\times \dfrac{\theta }{360^\circ}=\dfrac{1}{8}(2\pi r)[/tex]

[tex]\dfrac{\theta }{360^\circ}=\dfrac{1}{8}[/tex]

[tex]\theta =\dfrac{360^\circ}{8}[/tex]

[tex]\theta =45^\circ[/tex]

Therefore, the central angle is 45 degrees.

Answer:

10080 ways

Step-by-step explanation:

First we find the amount of combinations of teachers who can be chosen, which is denoted by 10 choose 3 (10 nCr 3), shown below:

10! / (3! * 7!) --> 120

Next to find the amount of combinations of students, you evaluate 9 choose 3(9 nCr 3), shown below:

9! / (3! * 6!) --> 84

To find the total number of combinations, you multiply the teachers combinations by the students combinations:

120 * 84 = 10080

Answer:

The solution x = 2 is the only solution

If c is a whole number, k is also a whole number.

The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.

What does rate of change mean?

An indicator of how one quantity changes in proportion to another is called a rate of change. If x and y are the independent and dependent variables, respectively, then the rate of change is equal to y-to-x conversions. Positive or negative change rates are possible.

Surafce area of a prism is equal to

2(Area of base) + (perimeter of base)(height)

2b^2+4bh

[tex]S=2b^2+4bh[/tex]

[tex]\frac{ds}{dt}=4b\frac{db}{dt} + 4b\frac{db}{dt} + 4h\frac{db}{dt} \\[/tex]

It is given that db/dt= -7 and dh/dt -=10.

At a particular instant b= 4km, h=9 km.

Now we will substitute the values in this formula:

[tex]\frac{ds}{dt}=-4*4*7-4*4*7+ 4*9*10\\\frac{ds}{dt}=136[/tex]

The rate of change of the surface area A(t) of the prism is 136 kilometers per minute.

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Answer:

Step-by-step explanation:

9.0 × 10-10 I think.....

Answer:

v=6.6667

Step-by-step explanation:

[tex]V=L*W*H/3[/tex]

[tex]V=20/3[/tex]

[tex]V=6.6667[/tex]

Hope this helps :)

Answer: 8 1/4 cups

Step-by-step explanation: All you must do is multiply 2.75 (which is 2 3/4 in decimal form) by 3 since Wendy is baking a TRIPLE recipe. So, the work will look like this: 2.75x3=8.25 or 8 1/4 cups of flour.

Answer:

226a³b² - 824ab³ + 984b⁴

Step-by-step explanation:

We can factorize the given expression by expanding the two binomials and then combining like terms.

First, expand the two binomials:

10ab (a − 2b)³ +24ab² (3a − 6b)² = 10ab(a³ - 6a²b + 12ab² - 8b³) + 24ab²(9a² - 36ab + 36b²)

Then, combine like terms:

= 10ab(a³ - 6a²b + 12ab² - 8b³) + 24ab²(9a² - 36ab + 36b²)

= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)

= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)

= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)

= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)

= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)

= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)

= 226a³b² - 824ab³ + 984b⁴

Answer: y= -3/4x+8

Step-by-step explanation:

Answer:

I. D. K. what is the question

Step-by-step explanation:

We are given:

Coordinates of center: (2,8)

Radius of circle: 3 units

Finding equation of the circle:

We know that the general form of a circle is:

(x-h)² + (y-k)² = (radius)²

where h is the x-coordinate of the center and k is the y-coordinate

replacing with the given values, we get:

(x-2)² + (y-8)² = (3)²

Answer:

Step-by-step explanation:

Annual salary is $37350

Housing budget is 24%

Housing cost:

Answer:

$8,964

Step-by-step explanation:

Given:

To find the yearly housing cost, calculate 24% of the annual salary:

[tex]\begin{aligned}\implies \sf Yearly\:housing\:cost & = \sf 24\% \:of\:37350 \\\\& = \sf \dfrac{24}{100} \cdot 37350\\\\& = \sf \dfrac{24 \cdot 37350}{100}\\\\& = \sf \dfrac{896400}{100}\\\\& = \sf 8964\end{aligned}[/tex]

Therefore, the yearly housing cost is $8,964.

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Answer:

3 1/3 miles

Step-by-step explanation:

If Samantha walks 2/3 miles everyday and they are asking for 5 days

2/3miles · 5days = 3 1/3 or 10/3 miles

Answer:

Its 1 because you are moving the digits 1 place to the right

Step-by-step explanation:

Answer:

it is invertible

Step-by-step explanation:

Answer and Step-by-step explanation:

Prime numbers are numbered that can't be divided by whole numbers other than itself and 1.

7, 11, and 37 are prime numbers that add up to 55.

7 + 11 + 37 = 55

7 + 48 = 55

55 = 55

#teamtrees #PAW (Plant And Water)

Answer:

37+17+1

Step-by-step explanation:

I think

A prime number always has 2 factors:-)

1 and itself are its factors

I hope it helps

Answer:

A = $258.95

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.6/100

r = 0.026 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 200.00(1 + 0.026/2)(2)(10)

A = 200.00(1 + 0.013)(20)

A = $258.95

Answer:

A waiter at a restaurant earns 10 dollars per hour. How much money is earned in 4 hours?

Equation: m = 10h

m = money earned

h = hours worked

Plug in 4 for (h)

m = 10(4)

m = 40 dollars

The waiter earns 40 dollars in 4 hours.

Step-by-step explanation:

Answer:

x = 172

Step-by-step explanation:

A circle is 360 degrees

The angles will add to 360 degrees

x/2 + 59 + x/4 + x = 360

Subtract 59 from each side

x/2 + x/4 +x +59-59 = 360 -59

x/2+x/4+x = 301

Combine like terms

2x/4 +x/4 +4x/4 = 301

7/4x = 301

Multiply each side by 4/7 to isolate x

4/7 * 7/4 x = 301 *4/7

x =172

Step-by-step explanation:

26÷3-7

26-7÷3

21÷3

7 Answer

hope it helps

Answer:

the answer is 7

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

This questions only states

[tex]y = 11.1.07\%[/tex]

This is not a fucntion because there is no variable.

This is not a valid statement, because 11.1.07% is non-sensical.

Answer:

1/216

Step-by-step explanation:

These are independent events because of probability of first event is not affecting the probability of another event .

probability of getting 4 on first try is 1 / 6

probability of getting six on second try is also 1 / 6 and then probability of getting more 6 on next try is again 1/6

so combined probability is 1/6 ×1/6 ×1/6= 1/216

Answer:

Part E

When reflected across x axis, your y coordinate will be negative and the x coordinate will be the same. ex.

(5,4) = (5,-4)

Part I

You would add 6 to the y coordinate and subtract 1 from the x coordinate

Part K

Chanels Sequence

Step-by-step explanation:

Total of 44 weeks does one bag last.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator

Total amount of cat food = 33 lbs in one bag

Amount of food cat eats each week = 3/4 lb = 0.75 lb

Number of weeks one bag of cat food last = 33 / 0.75

                                                                       = 44

Hence one bag of cat food will last for 44 weeks.

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C. 360 Square meters

........

The total area is 360 square meter.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

Given:

We get Three Rectangle

First Rectangle:

length = 12 m

width = 16 m

So, Area = 12 x 16 = 192 square meter.

Second Rectangle:

length = 8 m

width = 12 m

So, Area = 8 x 12 = 96 square meter.

Third Rectangle:

length = 12 m

width = 6 m

So, Area = 12 x 6 = 72 square meter.

Thus, the total area = 192 + 96+ 72 = 360 square meter.

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Let n = the number

The solution set is {x | x > 10}. 2. 5 ≥ 7 + y.

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Answer: A linear model is a type of mathematical equation that describes the relationship between two variables, such as median income and the number of bachelor's degrees per 1000 people. In order to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income, you would need a linear equation that describes that relationship.

Without that equation, it's not possible to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income.

Additionally, without more information about the data that the model was trained on, the correlation between median income and the number of bachelor's degrees per 1000 people and how accurate and reliable the model is, it's difficult to determine the goodness of this estimate. However, in general, a linear model may provide only a rough estimate, especially if the relationship between the variables is complex or non-linear.

Step-by-step explanation: