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Vilka [71]
2 years ago
7

1 liter is equivalent to a volume of 1000 cm3 (the same as 10 cm x 10 cm x 10 cm). If a beaker has a cross-section the size of t

he circle below, and a height of 10 cm, what is its volume

Mathematics
1 answer:
Oksanka [162]2 years ago
3 0

Answer:

Volume = \frac{220}{7}r^2

Step-by-step explanation:

Given

Height = 10cm

<em>See Attachment for complete question</em>

Required

Determine the volume of the circle

The volume is calculated as thus;

Volume = \pi r^2h

Take \pi as \frac{22}{7}

<em>So; Volume becomes</em>

Volume = \frac{22}{7} * r^2 * h

Substitute 10 for h

Volume = \frac{22}{7} * r^2 * 10

Volume = \frac{220}{7} * r^2

Since, the value of the radius is not given;

<em>The volume of the circle is:</em>

Volume = \frac{220}{7}r^2

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Find all points of intersection of the given curves. (Assume 0 ≤ θ ≤ 2π and r ≥ 0. Order your answers from smallest to largest θ
DerKrebs [107]

Answer:

∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,

∅8=345°

Step-by-step explanation:

Data

r = 8 sin(2θ), r = 4 and r=4

iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°

according the graph 2, the cut points are:

I quadrant:

0+15° = 15°

90°-15°=75°

II quadrant:

90°+15°=105°

180°-15°=165°

III quadrant:

180°+15°=195°

270°-15°=255°

IV quadrant:

270°+15°=285°

360°-15°=345°

No intersection whit the pole (0)

7 0
2 years ago
A traveler comes upon a fork in the road on the path to the travelers right a sign reads Mercer 24 km
trapecia [35]

Answer: this is not a question

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats
sweet-ann [11.9K]

Answer:

h=48

Step-by-step explanation:

You should create an even proportion. So you could do seconds over heartbeats or the other way around. I decided to do the other way around. Since yu want to see h in m minutes and in a minute there are 60 seconds, I did 8/10 = h/60. Instead of cross multiplying, I saw that 10 times 6 is 60 so 8 x 6=h. 8 x 6 = 48 so h=48.

6 0
1 year ago
jonathan ran 5 days this week. the most he ran in one day was 3.5 miles. write an inequality that shows the distance jonathan co
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Let m represent the number of miles this guy runs in a day.
He runs every day, so the minimum number of miles has to be greater than 0.
According to the problem statement, the max number of miles is 3.5 miles or less.

Translate this into a (symbolic) inequality.
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2 years ago
What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5? 20 pts.
fgiga [73]

ANSWER

a_n = 11 - 3n

EXPLANATION

The explicit rule for an arithmetic sequence is given by:

a_n = a_1 + d(n - 1)

It was given that:

a_1 = 8

and

a_2 = 3

The common difference is

d = 5 - 8 =  - 3

We plug in the values into the explicit formula to get,

a_n = 8+  - 3(n - 1)

Expand to get,

a_n = 8 - 3n  + 3

The explicit rule is

a_n = 11 - 3n

6 0
2 years ago
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