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2 years ago

5

A solid metal spherical ball of radius 7cm is put inside a cylinder of radius 5cm and height 13cm. If the cylinder is now filled

completely with water , find the volume of the water inside the cylinder

1 answer:

Blababa [14]2 years ago

4 0

Answer:

Step-by-step explanation:

How do you put a 14 cm diameter ball inside of a 10 cm diameter cylinder?

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Given a triangle with: a =<br> 150, A = 75°, and C = 30°<br> Using the law of sines gives: c = 0

koban [17]

Answer:

$c = 77.6$

Step-by-step explanation:

You may have entered the measure of a side as the measure of an angle.

$\dfrac{\sin A}{a} = \dfrac{\sin C}{c}$

$\dfrac{\sin 75^\circ}{150} = \dfrac{\sin 30^\circ}{c}$

$c\sin 75^\circ = 150 \sin 30^\circ$

$c = \dfrac{150 \sin 30^\circ}{\sin 75^\circ}$

$c = 77.6$

You are correct. Good job!

5 0

3 years ago

How to convert between this equation: 15x + 5y = 25 from Standard Form to Slope-Intercept Form?

Leona [35]

<em>hey</em><em> </em><em>buddy</em><em>,</em>

<em>●</em><em>15x</em><em> </em><em>+</em><em> </em><em>5y</em><em> </em><em>=</em><em> </em><em>25</em>

<em>5y</em><em> </em><em>=</em><em> </em><em>25-15x</em>

<em>y</em><em> </em><em>=</em><em> </em><em>(</em><em>25</em><em> </em><em>-</em><em> </em><em>15x</em><em>)</em><em> </em><em>/</em><em>5</em>

<em>y</em><em> </em><em>=</em><em> </em><em>5</em><em> </em><em>-</em><em> </em><em>3x</em>

6 0

3 years ago

(3) Two people are at an elevator. At the same time one person starts to walk away from the elevator at a rate of 2 ft/sec and t

Gekata [30.6K]

Answer:

The rate at which the distance between the two people is changing 15 seconds later is 7.28 ft/sec.

Step-by-step explanation:

Here, we note the following

Let the person walking way fom the elevator be X

Let the other person going up in the elevator be Y

Therefore after 15 seconds, their positions will be;

For X, 2 ft/sec × 15 s = 30 ft away from the elevator

For Y, 7 ft/sec × 15 s = 105 ft up in the elevator

At that instant, the distance between them is given as

d² = x² + y²

= 30² +105² = 11925 ft²

d = √11925 ft² = 109.202 ft

The rate of change of the distance between the two peopl, X and Y is given as

$\frac{dd^2}{dt} = \frac{dx^2}{dt} + \frac{dy^2}{dt}$

Therefore, $2d\frac{dd}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}$ or $d\frac{dd}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}$

Since $\frac{dx}{dt}$ is given as 2 ft/sec and $\frac{dy}{dt}$ = 7 ft/sec

Then $d\frac{dd}{dt} = 30 \times 2 + 105 \times 7 = 795\\$

$\frac{dd}{dt} = \frac{795}{109.202 } =7.28 ft/sec$

8 0

3 years ago

Read 2 more answers

The length of a rectangle is 2020 inches greatergreater than twice the width. if the diagonal is 2 inches more than the length,

melamori03 [73]

Insufficient data..u need to give the perimeter though!

4 0

3 years ago

Point A is located at (-5, 2) on a coordinate grid. Point A is translated 8 units to the right and 3 units up to create point A.

Molodets [167]

The closest distance between point A and point A' is 8.5 ⇒ B

Step-by-step explanation:

Let us revise the translation of a point

If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
If the point (x , y) translated vertically up by k units then its image is (x , y + k)
If the point (x , y) translated vertically down by k units then its image is (x , y - k)

∵ Point A is located at (-5 , 2)

∵ Point A is translated 8 units to the right and 3 units up

- That means add x-coordinate by 8 and add y-coordinate by 3

∴ Point A' located at (-5 + 8 , 2 + 3)

∴ Point A' located at (3 , 5)

The distance between two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∵ Point a = (-5 , 2) and point A' = (3 , 5)

∴ $x_{1}$ = -5 and $x_{2}$ = 3

∴ $y_{1}$ = 2 and $y_{2}$ = 5

- Substitute these values in the rule of the distance

∵ $d=\sqrt{(3--5)^{2}+(5-2)^{2}}$

∴ $d=\sqrt{(3+5)^{2}+(3)^{2}}$

∴ $d=\sqrt{(8)^{2}+(3)^{2}}$

∴ $d=\sqrt{64+9}=73$

∴ d = 8.544 ≅ 8.5

The closest distance between point A and point A' is 8.5

Learn more:

You can learn more about the distance between two points in brainly.com/question/6564657

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers