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zlopas [31]
3 years ago
14

The volume V of a sphere with radius R is given by formula V=4/3 x 3.14 x r^3

Mathematics
1 answer:
Olin [163]3 years ago
5 0
36(3.14) = 4/3 x 3.14 x r^3
113.04 = 4.187(r^3)
113.04/4.187 = r^3
26.997 = r^3
3√26.997 = r
r = ~3

Check: 3^3(\pi)(4/3) = 27(3.14)(4/3) = 113.04
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Solve y=-x+2 and y=-2x-1 as a graph, substitution, or elimination?
kotegsom [21]

Answer:

(- 3, 5 )

Step-by-step explanation:

Given the 2 equations

y = - x + 2 → (1)

y = - 2x - 1 → (2)

Using substitution method.

Substitute y = - x + 2 into (2)

- x + 2 = - 2x - 1 ( add 2x to both sides )

x + 2 = - 1 ( subtract 2 from both sides )

x = - 3

Substitute x = - 3 into (1)

y = - (- 3) + 2 = 3 + 2 = 5

Solution is (- 3, 5 )

8 0
3 years ago
What is the equivalent radian measure of 600?​
pychu [463]

Answer:

=  \frac{ \theta}{180}  \times \pi \\  =  \frac{600}{180}  \times \pi \\  =  \frac{10}{3} \pi

3 0
3 years ago
Dos motos, A y B, toman la salida en una carrera de 90 km. La moto A realiza el recorrido con una velocidad media inferior en 20
aleksandr82 [10.1K]

Answer:

motorcycle A: 180 km/h

motorcycle B: 200 km/h

Step-by-step explanation:

To solve this question we need to write a system of equations for A and B, using the equation:

distance = speed * time

The speed of A is 20 less than the speed of B, so:

speedA = speedB - 20

And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:

timeA = timeB + 0.05

Then, using the distance equation, we have that:

distanceB = speedB * timeB

90 = speedB * timeB

distanceA = speedA * timeA

90 = (speedB - 20) * (timeB + 0.05)

90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1

90 = 90 + 0.05 * speedB - 20*timeB - 1

20*timeB = 0.05 * speedB - 1

timeB = (speedB - 20)/400

using this timeB in the distance equation, we have:

90 = speedB * (speedB - 20)/400

90 * 400 = speedB^2 - 20*speedB

speedB^2 - 20*speedB - 36000 = 0

Solving this quadratic equation, we have speedB = 200 km/h

And the speedA is:

speedA = speedB - 20 = 200 - 20 = 180 km/h

6 0
3 years ago
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
Alborosie
Assume that the rule connecting height of the candle to time is a linear one.  If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.

Two points on this line are (6,17.4) and (23, 7.2).  The slope is thus
         7.2-17.4           -6
m = ---------------  =  -----------  or   -3/5.
           23-6                 10

Find the equation of the line.  I'm going to use the slope-intercept formula:

y = mx + b  =>   7.2 = (-3/5)(23) + b.  Solving for b,   b = 21.

Now    we know that y = (-3/5)x + 21

Let x=11 to predict the height of the candle at that time.

y = (-3/5)(11) + 21 = 14.4 inches  (answer)
7 0
4 years ago
Label the dividend, divisor, and quotient in the problem 27,438 divided by 9 equals 3,048 r6.
Alika [10]
The dividend is the number being divided so the dividend is 27,438
The divisor is the one dividing the number so the divisor is 9
The quotient is your answer so you quotient is 3048

Your answer is C.

Hope this helps!

7 0
3 years ago
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