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2 years ago

What is the area of a 24-inch rug? Use area of a circle formula: A = πr²

Mathematics

1 answer:

zvonat [6]2 years ago

7 0

That’s 5 inch g , so like u see the 24 inch rug right then u do + 4 inch to get 5 inch fam

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(-4, -7) and (-6, 9) in slope-intercept form. Show work

BigorU [14]

Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

$m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8$

Putting slope in general equation

$y = -8x+b$

Putting (-6,9) in the equation

$9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39$

Putting the value of b we get

$y = -8x-39$

Hence,

Equation of line in slope-intercept form is: y = -8x-39

5 0

3 years ago

Ami'yan runs every day for exercise at a rate of 1 kilometer every 15 minutes. How many meters does he run in 1 hour? - Thank yo

Alona [7]

Answer:

The total distance covered in 1 hour is 4000 meters.

Step-by-step explanation:

The distance Ami'yan runs is 15 minutes = 1 kilometer

Using the unit formula,

The distance ran in 1 minute = $(\frac{1}{15} ) \textrm{Kilometer}$

Now, 1 hour = 60 minutes

⇒The distance covered in 60 minutes = 60 x (Distance run in 1 minute)

= $60 \times \frac{1}{15} = 4$

So, the distance covered in 1 hour = 4 kilometer

1 kilometer = 1000 meters

⇒ 4 km = 4 x 1000 meters = 4000 m

Hence, the total distance covered in 1 hour = 4000 meters.

6 0

2 years ago

mariah has been hired as a receptionist.She is paid a flat rate of $225 each week and ears an additional $11.25 for every hour t

blsea [12.9K]

675 = 225 + 11.25h <== ur equation

5 0

3 years ago

You and your friend are comparing two loan options for a $165,000 house. Loan 1 is a 15-year loan with an annual interest rate o

Harlamova29_29 [7]

Answer:

No, he is wrong.

Step-by-step explanation:

Since, the total payment of a loan after t years,

$A=P(1+r)^t$

Where,

P = present value of the loan,

r = rate per period ,

n = number of periods,

Given,

P = $165,000,

In loan 1 :

r = 3% = 0.03, t = 15 years,

So, the total payment of the loan is,

$A_1 = 165000(1+0.03)^{15}=165000(1.03)^{15}\approx \$ 257,064.62$

In loan 2 :

r = 4% = 0.04, t = 30 years,

So, the total payment of the loan is,

$A_2 = 165000(1+0.04)^{30}=165000(1.04)^{30}\approx \$ 535,160.59$

Since, $A_1 < A_2$

Hence, total amount repaid over the loan will be less for Loan 1.

That is, the friend is wrong.

7 0

2 years ago

Distinguish differences and similarities between slope intercept form and point slope form ohysics

Slav-nsk [51]

Differences:

point slope form of line:

(a) equation is $(y-y_1)=m(x-x_1)$

where m is slope and (x1,y1) is a point

(b)This equation of line can be determined when two points are given

(x1, y1) and (x2,y2)

slope intercept form of line:

(a) equation is $y=mx+b$

where m is a slope

b is y-intercept

(b)This equation of line can be determined when y-intercept and slope are given

Similarilties:

(a) both are equation of straight line

(b) slope is always constant in both

8 0

3 years ago