What is the value of x?

PLEASE HELP: The mass of a ball is 128 g. It has a density of 0.5 g/cm³. What is the volume of the ball? Show your work and plac

tiny-mole [99]

Answer:

Part 1) The volume of the ball is 256 cm³

Part 2) The radius of the ball is 3.94 cm

Step-by-step explanation:

Part 1) we know that

The density is equal to divide the mass by the volume

D=m/V

Solve for the volume

The volume is equal to divide the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

Part 2) what is the radius of the ball?

we know that

The volume of the sphere (ball) is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$V=256\ cm^{3}$

assume

$\pi =3.14$

substitute and solve for r

$256=\frac{4}{3}(3.14)r^{3}$

$768=(12.56)r^{3}$

$r^{3}=768/(12.56)$

$r=3.94\ cm$

7 0

2 years ago

In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answer

laila [671]

Answer:

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

Step-by-step explanation:

Let's recall that for solving a SSS triangle, we :

1. Use the Law of Cosines first to calculate one of the angles

2. Use The Law of Cosines again to find another angle

3. Finally use angles of a triangle add to 180° to find the last angle.

1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)

Cos x = (81 + 225 - 68.89/270)

Cos x = 0.878

x = Cos ⁻¹ (0.878)

x = 28.6° (rounding to the next tenth)

2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)

Cos y = (68.89 + 225 - 81/249)

Cos y = 0.855

x = Cos ⁻¹ (0.855)

x = 31.2° (rounding to the next tenth)

3. z = 180 - 31.2 - 28.6

z = 120.2°

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

4 0

3 years ago

Vega swam her leg of the race in 27.98 seconds and Janice swam her leg of the relay race in 25.679 seconds. What was their combi

morpeh [17]

To get their combined time, get the sum of Vega's time and Janice's

$27.98\text{ sec}+25.679\text{ sec }=53.659\text{ sec}$

Therefore, their combined time for their part of the relay is 53.659 seconds.

6 0

9 months ago

Harold spent 3/4 hour milked 3 groups of cows. If he spent an equal amount of time on each group of cows, what fraction of an ho

torisob [31]

1/4 hour because since it took him 3/4 hr to milk 3 groups, it is reasonable to divide 3/4 by 3. So in 1/4 hour.

3 0

3 years ago

NEED HELP ASAP

balu736 [363]

Answer:

∠4 and ∠3

∠4 and ∠5

∠3 and ∠6

Step-by-step explanation:

A pair of angles is said to be supplementary when the 2 angles add up to give 180°.

Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.

Thus, since m< 3 is given as 90°, m<4 = 90°.

m<4 + m<3 = 180°.

Therefore, <4 and <3 are supplementary.

<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.

6 0

3 years ago