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Readme [11.4K]
3 years ago
11

A dog is leashed to the corner of a house. How much running area does the dog have? Round answer to the nearest square foot, if

necessary.

Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

  942 ft²

Step-by-step explanation:

The diagram shows the area to be 3/4 of that of a circle of radius 20 ft. The area of a circle is given by ...

  A = πr² = π(20 ft)² = 400π ft²

Then 3/4 of that area is ...

  dog run = (3/4)(400π ft²) = 300π ft² ≈ 942.48 ft²

The area of the dog's run is about 942 ft².

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How to factor -2 out of -6x+10
KIM [24]
Just divide -6x+10 by -2 and take out what's common.

-6x divided by -2 would be 3x.
10 divided by -2 would be -5.

So the answer is -2(3x-5).

\sf\ Answer: -2(3x-5)
5 0
3 years ago
The radius of a sphere is 6 units.
tino4ka555 [31]

Answer: The radius of a sphere is 6 units

Step-by-step explanation:

3 0
3 years ago
Sonny substituted 5 for x in the proportion startfraction 16 over x endfraction = startfraction 48 over 15 endfraction and cross
frez [133]

The cross products of the proportion are equal.

According to the question, Sonny's equation can be written as follows.

16/x = 48/15

Now, the variable x is replaced by the constant 5. So the equation can now be written as follows.

16/5 = 48/15

When two fractions are equal to one another as shown above, the constants are cross multiplied with one another in order to form an equation.

16*15= 48*5

The values of both the products are equal which is 240.

Therefore, because the cross products of the proportion are equal.

Learn more about Proportion on:

brainly.com/question/1496357

#SPJ4

4 0
1 year ago
2. What is the slope of the line through<br> the points (-5, 7) and ({0,-2) ?
valentinak56 [21]

Answer:

-9/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-7)/(0-(-5))

m=-9/(0+5)

m=-9/5

6 0
2 years ago
7. The largest of the Great Pyramids in Egypt was built with a square base,
strojnjashka [21]

Answer:

Difference between the original and current volumes = 4013140.30 cubic feet

Step-by-step explanation:

Largest pyramid has the square base with one edge = 754 feet

Area of the square base = (Side)²

                            = (754)²

                            = 568516 square feet

Volume of the pyramid = \frac{1}{3}(\text{Area of the base})(\text{Height})

                                       = \frac{1}{3}\times 568516\times 481

                                       = 91152065.3 cubic feet

After erosion,

Area of the base = (745)² = 555025 square feet

Volume of the pyramid = \frac{1}{3}(555025)(471)

                                       = 87138925 cubic feet

Difference between the original and current volumes of the pyramid

= 91152065.30 - 87138925

= 4013140.30 cubic feet

5 0
3 years ago
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