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sweet-ann [11.9K]
3 years ago
11

Meg pounded a stake into the ground. When she attached a leash to both the stake and her dog’s collar, the dog could reach 9 fee

t from the stake in any direction. Using 3.14 for pi, what is the approximate area of the lawn, in square feet, the dog could reach from the stake.
Mathematics
1 answer:
Alika [10]3 years ago
5 0

The dog is able to run around in a circle with a radius of9 ft.

The area of a circle is A = pi r^2

A = (3.14) (9)^2

A= (3.14)(81)

A= 254.34 sq ft

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How many square feet of outdoor carpet will we need for this hole​
DIA [1.3K]

Answer:

39ft²

Step-by-step explanation:

Divide up the Shape

Big rectangle:

a=lw

11*3=33ft

Small rectangle

2*3=6ft

Whole shape:

33+6=39ft²

4 0
3 years ago
Sarah brought her City car in for repairs and maintenance over the first three years she owned it she replace the brake pads in
Veseljchak [2.6K]

Answer: Average per year for the repairs and maintenance is $273.66

Step-by-step explanation:

She replace the brake pads in the third year for $98 and the preventive maintenance plan cost $723 

what did he average per year for repairs and maintenance?

The total cost of repairs and maintenance = 98 + 723 = 821

repairs and maintenance over the first three years 

Divide the answer by 3

821/ 3 = 273.67 dollars per year

3 0
3 years ago
Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s
Lilit [14]

Answer:

y-2=\displaystyle -\frac{3}{4}(x-1)

OR

y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

Step-by-step explanation:

Hi there!

Point-slope form: y-y_1=m(x-x_1) where <em>m</em> is the slope of the line and (x_1,y_1) is a given point

Given that the slope is -3/4, we can plug it into y-y_1=m(x-x_1) as <em>m</em>:

y-y_1=\displaystyle -\frac{3}{4}(x-x_1)

We can also plug in the given point (1,2):

y-2=\displaystyle -\frac{3}{4}(x-1)

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate <em>y</em>:

y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

I hope this helps!

8 0
2 years ago
5w+10=40
Ratling [72]

Answer:

Step-by-step explanation:

5w+10=40

5w=40-10

5w=30

w=30/5

w=6

Answer: A) 6

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

10k+5=65

10k=65-5

10k=60

k=60/10

k=6

Answer: k=6

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

2b-15=33

2b=33+15

2b=48

b=48/2

b=24

Answer: b=24

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

3d+18=21

3d=21-18

3d=3

d=3/3

d=1

Answer: d=1

6 0
3 years ago
Use the piecewise function to evaluate points f(–1), f(2), and f(12).​
scoundrel [369]

Answer:

Step-by-step explanation:

f(- 1) = - 1 + 4 = 3

f(2) = 2 + 4 = 6

f(12) = 4(12) - 7 = 41

3 0
3 years ago
Read 2 more answers
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