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amm1812
3 years ago
14

Suppose that the radius of a circle increases at a constant rate of 0.25 cm/sec. When the radius of this circle is 16 cm, the ar

ea of the circle increases at a rate of
Mathematics
1 answer:
irakobra [83]3 years ago
5 0

Answer:

8πcm²/sec

Step-by-step explanation:

The radius of the circle increases at a rate of dr/dt = 0.25cm/sec

The radius of the circle r = 16cm

The area of the circle increases at a rate of dA/dt = ?

Area of a circle = πr²

We take the derivative with respect to t

dA/dt = 2πrdr/dt

dA/dt = 2 π (16)(0.25)

dA/dt = 8πcm²/sec

Thank you!!!

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Advocard [28]

Answer:

B

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?
denis23 [38]

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Step-by-step explanation:

The perfect-square trinomial x² + 2ax + a² = (x + a)², then

1. The first term in the trinomial is square the 1st term in the bracket

2. The middle term in the trinomial is the product of 1st , 2nd

    terms of the bracket and 2

3. The 3rd term in the trinomial is square the 2nd term in the bracket

∵ The expression is x² + 12x

∵ We must add the 3rd term which make it perfect-square trinomial

- Divide 12x by 2 to find the product of the 1st term and 2nd term

  in the bracket

∵ 12x ÷ 2 = 6x

∴ The 1st term is x and the 2nd term is 6 of the bracket

∵ The 3rd term in the trinomial is square the 2nd term in the bracket

∴ The 3rd term in the trinomial is 6² = 36

∴ x² + 12x + 36 = (x + 6)²

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Learn more:

You can learn more about perfect-square trinomial in brainly.com/question/7932185

#LearnwithBrainly

4 0
2 years ago
H(n)=3n-4 find h(-6)
mrs_skeptik [129]

Answer:

h(-6) = -22

Step-by-step explanation:

h(n) = 3n - 4

h(-6)= 3(-6) - 4

= -18 - 4

= -22

4 0
3 years ago
PLEASE HELP ME!!! Ms. Jones wants to install a stone border along the flower bed in her rectangular backyard. Which is closest t
Nataly_w [17]

Answer:

use Pythagoras theorem formula   C^{2} = A^{2} + B^{2}

Step-by-step explanation:

C^{2} =  24^{2} + 18^{2}

C^{2}  = 576 + 324

C^{2} = 900

C = \sqrt{900}

C = 30

Does that make sense?  :|

3 0
3 years ago
Use synthetic division to divide 3x*3-5x+10. By. X-1
Degger [83]

Answer:

3x^2+3x-2+8/x-1

Step-by-step explanation:

Remainder: 8

Step 1 : Turn the x-1 to a positive 1.

Step 2: Write all the values

Step 3: Bring down the first value and multiply it bt 1

Step 4 : Subtract the next value from the previous answer.

Step 5 : Repeat till the last value.

8 0
3 years ago
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