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Rudik [331]
3 years ago
5

Find the area of a circle with the circumference 32pi

Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0

Answer:

A=πr2

C=2πr

Solving forA

A=C2

4π=322

4·π≈81.48733

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charles is 22 years older than his sister danielle. in 10 years he will be twice as old as danielle. how old is each of them now
andriy [413]

9514 1404 393

Answer:

  • Charles: 34
  • Danielle: 12

Step-by-step explanation:

If Charles is 22 years older, he will be double Danielle's age when she is 22. If that is 10 years from now, Danielle is 12 and Charles is 34.

3 0
2 years ago
Tia states that the graph of g(x) = (x – 2)3 + 7 is a translation of 2 units to the left and 7 units up from f(x) = x3. Is Tia’s
Lina20 [59]

Answer:

No.

Step-by-step explanation:

Compare g(x) = (x – 2)^3 + 7 to f(x) = (x - h)^3 + k.  Here, h denotes horizontal translation and k denotes vertical translation.  Translation to the left by 2 units would be (x + 2)^3 + 7.  Translation to the right by 2 units would be (x - 2)^3 + 7.  So, no, Tia's description of horiz. translation is incorrect.

However, her adding 7 does denote a positive vertical translation.


4 0
3 years ago
Read 2 more answers
Find the explicit formula for the sequence? -1,4,-16,64......
Ede4ka [16]

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4

The explicit formula for geometric sequence is:

a_n = a_1r^{n-1}

Putting the values of r and a1

a_n = -1 . (-4)^{n-1}

Hence

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

5 0
3 years ago
In ΔHIJ, the measure of ∠J=90°, IH = 5, HJ = 4, and JI = 3. What is the value of the tangent of ∠I to the nearest hundredth?
salantis [7]
Answer= 4/3 or 1.33

Explanation:

5 0
3 years ago
Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the appro
murzikaleks [220]

Answer:the answer is B

Step-by-step explanation:Bisect each of the angles with vertices at their houses

3 0
3 years ago
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