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Alex17521 [72]
3 years ago
7

A circle has an area of 28.2743 what is the radius round to the nearest whole number

Mathematics
2 answers:
SVEN [57.7K]3 years ago
6 0

Answer:

the radius equals 30

______

_/2827.43

--------- = 30

3.14

it's the square root of the area (2827.43) divided by pie

Step-by-step explanation:

s2008m [1.1K]3 years ago
3 0
28.2743 / Pi = 9
Square root 9 = 3
Therefore 3 is the radius
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A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the t
mart [117]

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

7 0
2 years ago
Evaluate the difference quotient for the given function.
kherson [118]

Assuming you mean f(t) = g(t) × h(t), notice that

f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)

Then the difference quotient of f is

\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}

Recall the angle sum identity for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

Then we can write the difference quotient as

\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}

or

\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)

7 0
2 years ago
Which statement is true?
meriva

Answer:

The correct answer is A I believe . . .

8 0
2 years ago
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Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.
Daniel [21]

Answer:

534,070.75 miles

Step-by-step explanation:

The circumference formula is d\pi or 2r\pi.

But since we're given the diameter, 170,000, all we have to do is multiply it by \pi.

170000*\pi = 534070.75 (Rounded)

3 0
3 years ago
SHOW STEP BY STEP FOR BRAINLIEST
Nostrana [21]

Answer:

The y-coordinate of F is 8.

Step-by-step explanation:

The area of the large triangle = 1/2 * base * height.

From the given coordinates:

The base of the large triangle =  x coordinate of C - x coordinate of A

= 11 - 3 = 8 units.

It's height = y coordinate of A = 12, so

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Using a similar calculation for the small triangle:

Base = 10 - 6 = 4 and height = k units.

So it's area = 1/2 * 4 * k = 2k unit^2.

So from given area of the shaded part:

48 - 2k = 32

-2k = -16

k = 8.

8 0
2 years ago
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