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2 years ago

11

Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters. Approximately, how much water does

the balloon contain? Use 3.14 for pi

1 answer:

dezoksy [38]2 years ago

7 0

Volume ≈ 65.42 units^3

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If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe

Natalka [10]

Answer:

They encircle the planet $3.76\times 10^{11}$ times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is $6.022\times 10^{23}$

Thus, the number of dust particles is:

$2.5\times 6.022\times 10^{23}=15.055\times 10^{23}$

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: $10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m$

If we line up the particles the distance they could cover is:

$15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}$

Circumference in meters:

$40,076km\times \frac{1000m}{1km}=40,076,000 m$

Therefore,

$\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}$

Hence, they encircle the planet $3.76\times 10^{11}$ times.

8 0

2 years ago

Trapezoid $RSTU$ is a cross section of a lampshade. The diagonals of $RSTU$ are congruent, and the measure of $\angle S$ is $112

Alexxandr [17]

Answer:

112°

Step-by-step explanation:

Given that the diagonals of trapezoid RSTU are congruent, it is an Isosceles Trapezoid.

One of the properties of an Isosceles Trapezoid is that the base angles are equal.

Therefore if the measure of angle S=112°, the measure of Angle U will also be 112°.

3 0

2 years ago

Derek has 12 shirt in his closet. If 2 out of every 3 of these shirts are striped,how many striped shirts does Derek have in his

SOVA2 [1]

12 divided by 3 is 4
if 2 of each of these is stripped that means 8/12 are striped

7 0

2 years ago

Read 2 more answers

Martinez Co. sells a machine that cost $10,000 with accumulated depreciation of $8,000 for $2,000 cash. The entry to record this

Sveta_85 [38]

Answer:

Step-by-step explanation:

8 0

2 years ago

Caleb has 20 more books than Danica. If Caleb gives Danica half of his books, Danica will have 4 more books than Caleb. How many

wariber [46]

Answer:

Option E: 24.

Step-by-step explanation:

When Caleb (C) has 20 more books than Danica (D), we have:

$C = 20 + D$ (1)

Now, when Caleb gives Danica half of his books:

$C' = C - \frac{C}{2}$ (2)

Danica will have 4 more books than Caleb, so:

$D' = D + \frac{C}{2}$ (3)

Also we have that:

$D' = C' + 4$ (4)

By entering equation (2) and equation (3) into equation (4) we have:

$D + \frac{C}{2} = C - \frac{C}{2} + 4$ (5)

From (1) we have:

$D = C - 20$ (6)

By entering (6) into (5):

$C - 20 + \frac{C}{2} = C - \frac{C}{2} + 4$

$C = 24$

And, from (6):

$D = C - 20 = 24 - 20 = 4$

Therefore, the correct option is E, Caleb had to start with 24 books.

I hope it helps you!

3 0

2 years ago