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vichka [17]
2 years ago
15

Find the radius of a cylinder with a volume 686mm2 and a height of 14mm​

Mathematics
1 answer:
shtirl [24]2 years ago
8 0

Answer:

r = 3.95 mm (nearest hundredth)

Step-by-step explanation:

\textsf{volume of a cylinder} = \pi r^2h

(where r = radius and h = height)

Given, volume = 686 mm² and height = 14 mm:

686=\pi r^2\times14

\implies\pi r^2=686 \div14=49

\implies r^2=49 \div \pi

\implies r=\sqrt{49 \div \pi }=3.949327085...

\implies r=3.95 \ \textsf{mm}

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A small accounting firm has 4 accountants who each earn
solniwko [45]

Answer:

Both the mean and median will decrease, but the

median will decrease by more than the mean

Step-by-step explanation:

The mean is an expression giving to the average earning of the Accountants.

Average defined is total earnings divided by total Accountants hired.

When they were 4 in number and earned between $50,000 to $60,000.

One can assume the average is the mid range of this number or worked out as [($50,000 x 2) + ($60,000 x 2)] divided by 4

= 220,000 / 4 = $55,000

When the 5th Accountant was hired, because he earns very low compared to the others; the average will decline thus:

= (220,000 + $10,000) divided by 5 = $46,000

Whereas the Median would have fallen sharply from $55,000 to $35,000.

That is; ($60,000 + $10,000)/2 = $35,000

7 0
3 years ago
Solve the system by elimination <br><br> 4x+3y=-5<br><br> -x+3y=-10
Sedaia [141]

Subtract the 2nd row from the 1st row

5x = 5

Solve for x in the equation above

x = 1

Substitute x = 1 into any of the two equations above

Let's  pick the first equation; 4x + 3y = -5

4 * 1 + 3y = -5

Solve for y in the equation above

y = -3

Therefore,

<u>x = 1</u>

<u>y = -3</u>

3 0
3 years ago
What is the circumference of quadrilateral ABED in cm?
Natasha2012 [34]

the perimeter of quadrilateral ABED is 36.

<h3 /><h3>What is circumference?</h3>

A circumference is the total distance around a plane shape. Another name for circumference is called perimeter

To calculate the circumference of the quadrilateral, we use the formula below.

Formula:

  • Peri. of ABED = /AB/+/BE/+/ED/+/DA/............. Equation 1

From the Diagram,

Given:

  • /AB/ = /DC/ = 8 cm,
  • /BE/ = 2×/DA/ = 2×6 = 12 cm
  • /ED/ = √(6²+8²) = √(36+64) = √100 = 10 cm
  • /DA/ = 6 cm

Substitute these values into equation 1

  • Peri. of quadrilateral ABED = 8+12+10+6
  • Peri. of quadrilateral ABED  = 36 cm

Hence, the perimeter of quadrilateral ABED is 36.

Learn more about circumference here: brainly.com/question/20489969

#SPJ1

4 0
1 year ago
What is y equal to when x = 8<br> y=-3x - 1
lesya [120]
Answer:y= -25

Explanation: you put 8 into the equation so it would look like y=-3(8)-1 then you solve it
7 0
2 years ago
Read 2 more answers
No links, I just need an explanation on how to do this, like step by step because I don't understand. T-T
Goryan [66]

Answer:

a. Jared and Ali

Step-by-step explanation:

b. Molly make mistake when he/she divide all equation by 4 but left the 8x remain 8x, it should be 2x.

Mark make mistake in changing the sign whitout changing side/ passing trough equal sign. FYI, + can be - and also - can be + if they move to the other side

i.e.

2 + 3 = 5

2 = 5 - 3

7 0
2 years ago
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