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disa [49]
2 years ago
13

Find the area of this circle. Use 3.14 to approximate A = ar2 20 ft

Mathematics
2 answers:
trasher [3.6K]2 years ago
6 0

Answer:

314

Step-by-step explanation:

ikadub [295]2 years ago
5 0

Answer:

314

Step-by-step explanation:

R= half of d

d= 20

20/2= 10

r=10

Plug into formula:

3.14(10)^2

= 314

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Look at this graph.
Phoenix [80]

Answer:  y= 1/4 x + 500

Step-by-step explanation:

The slope is the difference in y-values divided by difference in x-values plus the starting constant value (500 on the graph)

700 - 600  is the difference in y-values = 100

800 - 400 is the difference in x-values  = 400

100/400 = 1/4

y = x/4 +500

7 0
3 years ago
For the region bounded by y=2x​, the​ x-axis, and x=1​, determine which of the following is​ greater: the volume of the solid ge
telo118 [61]

Answer:

The correct answer B) The volumes are equal.

Step-by-step explanation:

The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

\int\limits^1_0 {(pi)y^{2} } \, dx

which when evaluated gives 4pi/3.

Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

\int\limits^2_0 {pi - pix^{2} } \, dy = \int\limits^2_0 {1 - y^{2}/4 } \, dy

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.

7 0
3 years ago
Write an equation of a line in slope intercept form that passes through the given points:
GarryVolchara [31]

Answer:

The answer is y= -1/3x-5

Step-by-step explanation:

(9, -8) and (-6, -3)

m= y²-y¹/x²-x1

m= (-3)-(-8)/(-6)-9

m= 5/-15

m=-1/3

y=mx+b

y=-1/3x+b

-3=-1/3(-6)+b

-3=2+b

-2 -2

-5=b

The answer is y=-1/3x-5

3 0
3 years ago
Which number shows the digit 2 with a value ten times the value of the digit 2 in the number 54,267? A. 13,821 B. 18,092 C. 24,1
Flura [38]

Answer:

D. 32,154

Step-by-step explanation:

54,267 can be written as 54267.0

The 2 in 54 267 should be move 1 place to the left to indicate your multiplying by 10

Moving 1 space to the left = Times 10

Moving 2 places to the left = Times 100

Moving 3 places to the left = Times 1000

5 0
2 years ago
If a 45º-45º-90º triangle has a hypotenuse of length 9, find the leg length.
iVinArrow [24]

Answer:

Step-by-step explanation:

x²+x²=9²

2x²=81

x²=81/2=(81×2)/4

x=9√2/2≈4.5√2≈6.36

9.

x²+x²=11²

2x²=11²

x²=11²/2

x=11/√2=11√2/2≈7.78

7 0
3 years ago
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