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slega [8]
3 years ago
12

A circular garden has a diameter of 8 yards. What is the area of the garden? Use 3.14 for π.

Mathematics
1 answer:
MissTica3 years ago
4 0

Answer:

50.24 yards²

Step-by-step explanation:

The equation for area of circle is πr². So the calculation is 4² × 3.14.

16 × 3.14 = 50.24

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4k + 15 greater than -2k + 3
ioda

Answer:

k>-2

Step-by-step explanation:

4k+15>-2k+3

4k-(-2k)+15>3

4k+2k+15>3

6k+15>3

6k>3-15

6k>-12

k>-12/6

k>-2

8 0
3 years ago
The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.
Akimi4 [234]

Answer:  Option b.

Step-by-step explanation:

First, you need to calculate the ratio of the area. This is:

ratio=(\frac{64}{28})^2\\\\ratio=\frac{256}{49}

You know that the area of the smaller trapezoid is 771 m², then you can set up the following proportion, where "x" is the area of the larger trapezoid. Then you have:

\frac{256}{49}=\frac{x}{771}

Now you must solve for "x". Therefore, you get that the area of the larger trapezoid is:

 x=(771)(\frac{256}{49})\\\\x=4,028m^2

3 0
4 years ago
A buoy is 8 km N 60° E of a boat as shown. How far east of<br> the boat is the buoy?
Bumek [7]

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Step-by-step explanation: see attachment

6 0
3 years ago
A rectangles tabletop has a length of 4 3/4 feet and a area of 11 7/8 square feet what is the width of the tabletop
Natalija [7]
Area is length times width. Therefore, width is area divided by length. Convert 11 7/8 to the improper fraction 95/8 and convert 4 3/4 to 19/4. Then, you can fine 95/8 divided by 19/4 by flipping the second fraction and multiplying so that you have 95/8 times 4/19. 4 times 95 is 380 and 8 times 19 is 152. Therefore, the answer is 380/152. This is equivalent to 5/2 or 2.5. 
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3 years ago
Determine whether the point (1, 1) is a solution to the system of equations. Explain your reasoning in complete sentences. graph
erastova [34]
The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.
6 0
3 years ago
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