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3 years ago

Find the circumference and area of a circle with a diameter of 14 inches. Leave your answers in terms of pi.

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

8 0

Answer:

A=153.94

C=43.98

Step-by-step explanation:

CIRCUMFERENCE

C=2πr

C=2π7

C=43.98

AREA

A=πr²

A=π7²

A=153.94

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A line is represented by the equation y = 3x - 6. Which is a coordinate of a

Furkat [3]

Answer:

(2,0)

Step-by-step explanation:

Simply plug in the coordinates. y= 3x - 6, so in this case 0= 3(2) - 6 or 0=0, making the point on the line. If the equation is not true like when using (0,3) and getting 3= -6, then the point is not on the line.

6 0

2 years ago

bought a new car in 2011 for 25000. in 2015, joe was offered a fair price of 12000 for his car but he turned it down. build a li

Mrrafil [7]

Answer:

$y=-3,250t+25,000$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope of unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

Let

t ----> the number of years since 2011

y --->the car's value

In this problem the year 2011 represent t=0

the year 2015, represent t=4 years (2015-2011)

we have the ordered pairs

(0,25,000) ----> represent the y-intercept

(4,12,000)

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{t2-t1}$

substitute the values

$m=\frac{12,000-25,000}{4-0}$

$m=\frac{-13,000}{4}$

$m=-\$3,250\ per\ year$ ---> is negative because is a decreasing function

we have

$b=\$25,000$ ----> value of y when the value of x is equal to zero (initial value)

substitute the given values

$y=-3,250t+25,000$

3 0

3 years ago

Read 2 more answers

H. Goes through (-3, -2) and parallel to y = 5 x +5

olchik [2.2K]

Answer: y = 5x + 13

Step-by-step explanation:

Parallel means it has the same slope.

Given line y = 5x + 5 --> the slope is 5, so parallel slope is 5

Use the Point-Slope formula: y - y₁ = m(x - x₁) such that

m = 5
(x₁, y₁) = (-3, -2)

y + 2 = 5(x + 3) input m and (x₁, y₁) into the Point-Slope formula

y + 2 = 5x + 15 distributed

y = 5x + 13 subtracted 2 from both sides

7 0

3 years ago

D) Matthew travels two and one-half miles to get to

Fudgin [204]

Answer:

5/6 miles

Step-by-step explanation:

Matthews travels 2.5 miles → this is 3 times the distance that Jennifer travels

Jennifer travels 2.5 / 3 miles = 5/6 miles

because,

2.5 = 2 and 1/2 = 5/2

(5/2) ÷ 3 = (5/2) *(1/3) = 5*1/ 2*3 = 5/6

5 0

3 years ago

A 2?-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles.

navik [9.2K]

Answer: A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.

Step-by-step explanation:

Since we have given that

Radius of inner circle = 57 ft

As we know the formula for "Circumference of circle":

$Distance=Circumference=2\pi r\\\\Distance=2\times \frac{22}{7}\times 57\\\\Distance=358.28\ Ft$

Since we have also mentioned that there is 2 feet wide circular track for a camera dolly.

So, Radius of outer circle will be given as

$57+2\\=59\ ft$

So, Distance = Circumference is given by

$Distance=2\pi R\\\\Distance=2\times \frac{22}{7}\times 59\\\\Distance=370.85\ ft$

Hence, Difference between the outer rail travel than a wheel on the inner rail travel is given by

$370.85-358.28\\\\=12.57\ ft$

Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.

7 0

3 years ago