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iogann1982 [59]
3 years ago
15

If the diameter of the circle below is 16 in., what is the area of the circle?

Mathematics
2 answers:
mote1985 [20]3 years ago
8 0

Answer:

64π inches² (approximately 201.06 inches²)

Step-by-step explanation:

A=\pi r^2 where r is the radius

To find the radius, divide the diameter by 2

16 ÷ 2 = 8 inches

Plug in 8 as the radius

A=\pi (8)^2\\A=64\pi

A=201.06 (approximately)

Therefore, the area of the circle is 64π inches², or approximately 201.06 inches².

I hope this helps!

amm18123 years ago
7 0

Answer:

201 inch²

Step-by-step explanation:

d=2r ⇔ 16=2r ⇔ r=8

A= Pi× r² ≈ 3.14 × 8² ≈ 201 inch²

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What is y=2/5x+800 graphed
marusya05 [52]

Answer:

The graph is a line with a gradient of 2/5, and which runs through the coordinate (0, 800) and (0, -2000).

Step-by-step explanation:

You can graph any line by drawing a line through two points that are on that line, and thus are part of the magical equation, which accounts for the description of any point on that line.

In fact that is exactly how a computer draws a graph. It plots a dot, wich coordinates are calculated by substituting a value in the formula. Next it does that for another coordinate, very close to the first one. Now you have two dots next to each other... and so on.

Because computers can calculate extremely fast, within an instant, the result is a plotted chart, which in this case looks like the graph of a line.

It's graph is a line with a gradient of 2/5, which goes through the y-axis at the coordinate (0, 800).

You could find another pont on this line, by randomly choosing a simple number for x and substituting that value in the equation. For an example, you could substitute x =2 in y=2/5x+800.

y = 2/5x+800

x = 2

y = 2/5*(2)+800

y = 10/5+800

y = 2+800

y = 802

So you now have another point (5, 802)

In general it is best to search for the value of x, when you substitute y = 0.

y = 2/5x + 800

y = 0

0 = 2/5x + 800

2/5x = ( -800 )

x = 5/2 * ( -800 )

x = -4000 / 2

x = -2000

So you now have another point ( which goes through the x-axis ) at the coordinate (0, -2000).

Now you can draw the graph of y=2/5x+800.

8 0
3 years ago
Which relationship is NOT a function?
AVprozaik [17]

Answer:

if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Given: ∆PST, PT = 8, m∠T = 90°, m∠S = 48° Find: perimeter of ∆PTS
ohaa [14]

Answer:

P=25.98\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The perimeter of triangle PST is equal to

P=PT+PS+TS

step 1

Find the length PS

In the right triangle PST

sin(48\°)=\frac{PT}{PS} ---> opposite side angle of 48 degrees divide by the hypotenuse

substitute the given values

sin(48\°)=\frac{8}{PS}

Solve for PS

PS=\frac{8}{sin(48\°)}

PS=10.77\ units

step 2

Find the length TS

In the right triangle PST

cos(48\°)=\frac{TS}{PS} ---> adjacent side angle of 48 degrees divide by the hypotenuse

substitute the given values

cos(48\°)=\frac{TS}{10.77}

Solve for TS

TS=cos(48\°)(10.77)

TS=7.21\ units

step 3

Find the perimeter

P=PT+PS+TS

we have

PT=8\ units

PS=10.77\ units

TS=7.21\ units

substitute

P=8+10.77+7.21=25.98\ units

4 0
3 years ago
X-intercept=-2, y-intercept = 5
SVEN [57.7K]

that doesnt make senese


7 0
4 years ago
Read 2 more answers
What is the solution to the inequality?<br> what is the solution to be mainly<br> -90 – 15 &lt;3
alekssr [168]

Answer:  x>−2

Step-by-step explanation:

−9x−15<3

5 0
3 years ago
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