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worty [1.4K]
3 years ago
15

The area for the circle below is

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0

Answer:

19.63 inches

Step-by-step explanation:

The area of a circle is found by using the formula

A = πr²

r is the radius of the circle, which is the diameter divided by two.

D = 5 in so r = D ÷2

5 ÷ 2 = 2.5 inches for the radius.

A = π (2.5)²

A = π (6.25)

A = (3.14)(6.25)

A = 19.625 inches

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What is the modulus of |9+40i|?
Talja [164]

Answer:

41

Step-by-step explanation:

We know that complex numbers are a combination of real and imaginary numbers

Real part is x and imaginary part y is multiplied by i, square root of -1

Modulus of x+iy = \sqrt{x^2+y^2}

Here instead of x and y are given 9 and 40

i.e. 9+40i

Hence to find modulus we square the coefficients add them and then find square root

|9+49i| =\sqrt{9^2+40^2} =\sqrt{1681}

By long division method we find that

|9+40i| =41


6 0
3 years ago
Read 2 more answers
An arts academy requires there to be 5 teachers for every 95 students and 4 tutors for every 40 students how many students does
Whitepunk [10]

Answer:

19 students per teacher and 10 students per tutor

Step-by-step explanation:

To find the amount of students per teacher and per tutor you have to divide

95 students /5 teachers

19 students per teacher

40 students /4 tutors

10 studetns pet tutor

5 0
2 years ago
Pienso en un número lo multiplicó por 2 y el resultado es lo mismo cuando le sumó 1
MrRa [10]
Translate that to english please?

5 0
3 years ago
What is the volume of the shape below?
Yakvenalex [24]

Answer:

the answer is 147

Step-by-step explanation: Basicly with volume, you have to time all the sides so it would be 7x7x3, 7 is the heigh, 7 is the length and 3 is the width

6 0
2 years ago
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A used bookstore sells hardback books and paperback books.A hardback book costs $11, including tax.A paperback book costs $5, in
Ket [755]

Answer:

D.5

Step-by-step explanation:

You can write the following equations from the information given:

y=x+3 (1)

11x+5y=47 (2)

x is the number of hardback books

y is the number of paperback books

You can replace (1) in (2):

11x+5(x+3)=47

11x+5x+15=47

16x=47-15

16x=32

x=32/16

x=2

Then, you can replace the value of x in (1) to find the value of y:

y=2+3

y=5

According to this, the answer is that Jamal bought 5 paperback books.

6 0
3 years ago
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