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3 years ago

A right square pyramid has a height of 36 m and a volume 1728 m². What is its base length of the pyramid?

1 answer:

6 0

The answer is 144m.

Volume of square pyramid formula:
V = 1/3 * b * h

1728 = 1/3 * b * 36
1728 = 12b
1728/12 = b
b = 144

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A Salt Marsh Harvest Mouse ran a 360 centimeter straight course race in 9 seconds. How fast did it run?

Gnoma [55]

Answer: 40 Centimeters per second

Step-by-step explanation:

360/9 = 40

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3 years ago

Read 2 more answers

A spinning giant star of initial radius R1 and angular speed ω1 suddenly collapses radially inward reaching a new radius R2 = 0.

tiny-mole [99]

Answer:

K1/K2=4

Step-by-step explanation:

The kinetic energy of a rotating sphere is given by:

$K=\frac{I*\omega^{2} }{2}$

The moment of inertia of a solid sphere is given by

$I=\frac{2MR^{2} }{5}$

The initial kinetic energy is therefore

$K_1=\frac{2MR^{2}*\omega^{2} }{10}$

$K_1=\frac{MR_1^{2}*\omega^{2} }{5}$

The final kinetic energy is given by

$K_2=\frac{MR_2^{2}*\omega^{2} }{5}$

Therefore the relation K1/K2 if R2 = 0.5R1

$\frac{K_1}{K_2} =\frac{5M(R_1)^{2}*\omega^{2} }{5*M(0.5R_1)^{2} \omega^{2}}$

The text says nothing about the final angular velocity just the collapse of the collapse of the radius

$\frac{K_1}{K_2} =\frac{1 }{(0.5)^{2} }=4$

3 0

3 years ago

A line that includes the point (0,0) has a slope of -9. What is its equation in slope-intercept

ikadub [295]

Y=-9x because y=mx+b is the formula so plug in the slope, m(-9) and the x-intercept, x(0)

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3 years ago

Calculate the volume of the cylinder.

Lera25 [3.4K]

Since the formula for the base of the cylinder is $\pi r^{2}$ , multiplying that by 10 we get $90\pi$ . Hope this helps!

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3 years ago

In the isosceles triangle, find a and b if you knew the perimeter was 20x+35

Zanzabum

Answer:

a=8

b=17

Step-by-step explanation:

Isoceles means we will have 2 congruent sides in this triangle.

So it appears we are to assume it is sitting on its base which means that other side has measurement ax+9 as well

So we have the sum of the 3 sides is the perimeter.

That means we have the equation:

(ax+9)+(ax+9)+(4x+b)=20x+35

Combine like terms:

(a+a+4)x+(9+9+b)=20x+35

(2a+4)x+(18+b)=20x+35

This implies 2a+4=20 and 18+b=35.

2a+4=20

Subtract 4 on both sides:

2a=16

Divide both sides by 2:

a=8

18+b=35

Subtract 18 on both sides:

b=17

So a=8 and b=17.

3 0

3 years ago