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xeze [42]
1 year ago
13

The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ

Mathematics
2 answers:
NARA [144]1 year ago
7 0

Answer:

<h2>132.25π  m²</h2>

Step-by-step explanation:

The circumference of a circle is 23π

On the other hand, The circumference of a circle = 2×π×r ; where r is the radius.

then

by equating the last two expressions we get: 23π = 2πr then r = 23/2

then

the area = π × r² = (23/2)²×π = (132.25)×π

Firdavs [7]1 year ago
4 0

Answer:

132.25\pi square meters

Step-by-step explanation:

The first step is to find the radius of the circle. The diameter of the circle is just the circumference divided by pi, so the diameter is 23. The radius is half of the diameter, or 23/2=11.5. Now, plugging this into the formula for the area of a circle, you get \pi \cdot 11.5^2=132.25\pi square meters. Hope this helps!

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Kathy has $50,000 to invest today and would like to determine whether it is realistic for her to achieve her goal of buying a ho
olga_2 [115]

Answer:

a) About 12%

Step-by-step explanation:

We need to find the interest rate required to achieve her goal, so we will need to use the interest-compound formula:

FV=PV(1+i)^{n}

Where:

PV= Present Value

i= interest rate

FV= Future Value

n= number of periods

replacing the data provided:

150.000=50.000(1+i)^{10}

solving for i:

first, divide both sides by 50.000 to simplify the equation:

3=(1+i)^{10}

Take 10^{th} roots of both sides:

1+i=±\sqrt[10]{3}

solve for i:

i=±\sqrt[10]{3} -1

We get two answers, but we look for a coherent value. So we take the positive one:

i=11.6123174≈12

6 0
2 years ago
HJ is twice JK. J is between H and K. If HJ= 4x and HK=78, find Jk.
ss7ja [257]
You'll find it easier to understand if you illustrate the problem as what is shown in the attached picture. From the illustration and the problem description, two equations can be formulated:

HJ = 2JK
HJ + JK = HK

2JK + JK = 78
3JK = 78
JK = 78/3
JK = 26

6 0
2 years ago
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how
crimeas [40]

Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

5 0
2 years ago
Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices
djyliett [7]

Answer: 33.041666

Step-by-step explanation:

Given: The translated equation : 300x+y = 10000

To find the value of x if y = 87.5, we need to substitute the value of y in the given translated equation, we will get

300x+87.5 = 10000

Subtract 87.5 from both the sides , we get

300x=9912.5

Now, divide 300 on both the sides, we get

x=\frac{9912.5}{300}\\\\\Rightarrow x=33.041666666

3 1
1 year ago
Read 2 more answers
You take the four Aces, four $2$'s, and four $3$'s from a standard deck of 52 cards, forming a set of $12$ cards. You then deal
kap26 [50]

Answer:

Probability each player gets an ace, a $2 and a $3 = 0.0374

Step-by-step explanation:

The total number of ways to divide the card in triples among four players = 369600 ways

The total number of ways to share the cards such that no card is repeated in each triple = 13824 ways

Probability each player gets an ace, a $2 and a $3 = 13824/369600

Probability each player gets an ace a $2 and a $3 = 0.0374

Note: Further explanation is provided in the attachment.

8 0
1 year ago
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