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Serhud [2]
3 years ago
12

A scientist enlarged a circular portion of a microscope slide to make it easier to count the number of bacteria present in the s

ample.He divided the circle into 5 sectors as shown below and plans to count bacteria only in the shaded sector. What is the area of the shaded sector to the nearest tenth of a square centimeter
A.141.4
B.212.1
C.377.0
D.424.1

Mathematics
1 answer:
Tema [17]3 years ago
8 0

Answer:

Option B. 212.1\ cm^{2}

Step-by-step explanation:

step 1

Find the central angle of the shaded sector

Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)

so

Let

x -----> the measure of the central angle of the shaded sector

∠x+72°=180°

∠x=180°-72°=108°

step 2

Find the area of the circle

The area of the circle is

A=\pi r^{2}

we have

r=15\ cm

assume

\pi=3.1416

substitute

A=(3.1416)(15)^{2}

A=706.86\ cm^{2}

step 3

Find the area of the shaded sector

Remember that the area of the complete circle subtends a central angle of 360 degrees

so

by proportion find the area of a sector by a central angle of 108 degrees

\frac{706.86}{360}=\frac{x}{108}\\ \\x=706.86*108/360\\ \\x=212.1\ cm^{2}

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hichkok12 [17]
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6 0
3 years ago
What is the value of tanØ
mr_godi [17]

Answer:

tan ∅ = 24 / 7

Step-by-step explanation:

cos ∅ = 7 / 25

sin^2 ∅ + cos^2 ∅ = 1

sin^2 ∅ + (7 / 25)^2 = 1

sin^2 ∅ = 1 - 49 / 625

sin^2 ∅ = 625 - 49 / 625

sin^2 ∅ = 576 / 625

sin ∅ = root 576 / 625

sin ∅ = 24 / 25

tan ∅ = sin ∅ / cos ∅

tan ∅ = 24/25  /  7/25

Therefore, tan ∅ = 24 / 7

OPTION 4.   24 / 7

8 0
3 years ago
A basketball is 11 times as heavy as a tennis ball. If a tennis ball weighs 58 grams, what is the weight of a basketball in kilo
Vlada [557]

Answer:

0.638 KGs or 638 grams

Step-by-step explanation:

as we know 1000grams = 1 kilogram

therefore the weight of basketball :

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8 0
2 years ago
4) The yellow submarine was at sea level when the passengers boarded. The journey began with a descent of 40 meters. After exami
____ [38]

a) Write an expression to describe the journey of the yellow submarine.

-> ((0 - 40) + 30) - 25

[] Sea level = 0

[] The descend 40 meters = -40

[] After examining the sea, they rose 30 meters = + 30

[] They dove 25 meters to look at an octopus = -25

b) At what depth did they stop to look at the octopus?

-> -35 meters

[] The started at 0 (0), descended 40 (-40), rose 30 (-10), and then sove 25 (-35) to see the octopus

[] Another way to think of this is to simplify our previous expression completely

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

4 0
2 years ago
For the people who helped me with the question
erik [133]

Answer:

glad my answer helped you.

Step-by-step explanation:

hope that because i showed the steps, it will help you if you come across a problem like that in the future too!

4 0
2 years ago
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