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MariettaO [177]
3 years ago
8

How many of the students interviewed do not collect sports cards

Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0

huh?

Step-by-step explanation:

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#14, what is this answer ?
trapecia [35]

Answer:

option 3

Step-by-step explanation:

5 0
2 years ago
List the prime factors of each of these numbers<br>a) 30<br>b) 24<br>c) 72<br>d) 100​
lesya692 [45]

Answer:

30= 2×3×5

24= 2cubed×3

72= 2cubed×3squared

100=2squared×5squared

5 0
3 years ago
Read 2 more answers
Derive the formula for the area of a sector, and then use it to choose all that are correct.
Marina CMI [18]

Answer:

Part A) A_s=\frac{\pi r^{2}}{360^o}{\theta}

Part B) option 1,option 4

Step-by-step explanation:

Part A) Derive the formula for the area of a sector

we know that

The area of circle is equal to

A=\pi r^{2}

The area of circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of a sector  A_s  by a central angle of ∅ degrees

\frac{\pi r^{2}}{360^o}=\frac{A_s}{\theta}

A_s=\frac{\pi r^{2}}{360^o}{\theta}

Part B) Verify each case

case 1) we have

radius = 5 cm

angle = 120°

area = 26.2 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(5)^{2}}{360^o}{120^o}

A_s=26.2\ cm^2

so

The given value of area is correct

case 2) we have

radius = 4 cm

angle = 105°

area = 16.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(4)^{2}}{360^o}{105^o}

A_s=14.7\ cm^2

so

The given value of area is not correct

case 3) we have

radius = 6 cm

angle = 85°

area = 23.7 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(6)^{2}}{360^o}{85^o}

A_s=26.7\ cm^2

so

The given value of area is not correct

case 4) we have

radius = 7

angle = 75°

area = 32.1 cm 2

Find the area of the sector and then compare with the value of the given area

assume

\pi=3.14

substitute the given values

A_s=\frac{(3.14)(7)^{2}}{360^o}{75^o}

A_s=32.1\ cm^2

so

The given value of area is correct

5 0
3 years ago
If f(x) = -8x – 6 and g(x) = x+8,<br> what is (fºg)(-7)?<br> Enter the correct answer.
Semmy [17]

9514 1404 393

Answer:

  -14

Step-by-step explanation:

  (f\circ g)(x)=f(g(x))=f(x+8)=-8(x+8)-6\\\\(f\circ g)(x)=-8x-70\\\\(f\circ g)(-7)=-8(-7)-70=\boxed{-14}

6 0
3 years ago
Nikki works at a store that sells consumer electronics. She earns $12 per hour, plus a commission of 5% of her total sales amoun
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

So, Nikki earns $12 per hour.

And she also earns a 5% or 0.05 commission of her total sales each day.

On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.

Thus:

139=96+0.05x

Where x represents Nikki's total sales on Saturday.

Further notes:

To solve, subtract 96 from both sides and divide by 0.05:

139=96+0.05x\\43=0.05x\\x=\$860

Thus, her total sales that day were $860.

6 0
3 years ago
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