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inysia [295]
2 years ago
5

The perimeter of a square is the same as the circumference of a circle whose area is 61.6 cm^2. Find the area of the square.​

Mathematics
1 answer:
Slav-nsk [51]2 years ago
3 0

Answer:

Step-by-step explanation:

first, 4l=2 x π x radius............................ eqn 1

next, find the value for the radius, r using

Area of a circle=πx radius squared

61.6=3.142 x r x r

61.6÷3.142=r x r

r x r= 19.6

r=4.43

then substitute the value of r in eqn 1

4l=2 x 3.142 x 4.43

4L=27.83812

L= 27.83812÷4

L≈6.96

area of a square = L x L

=6.96 x 6.96= 48.43

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You roll a fair six-sided die twice. Find the probability of rolling a 5 the first time and a number greater than 2 the second t
galina1969 [7]

Answer:

The probability is 1/9

Step-by-step explanation:

The probability of rolling a 5 the first time is 1/6

The probability of rolling a number greater than 2

Numbers greater than 2 are; 3,4,5,6

So the probability of rolling a number out of this four is 4/6

Hence, the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be;

1/6 * 4/6 = 4/36 = 1/9

3 0
2 years ago
Can you solve number 74 plzzzzzzzzzzzzzzzzzzz
Mila [183]
The answer would be graph b.
It would be graph b because the point would be five to the left(West) and two down(South).
3 0
2 years ago
What is the range of the following function:<br> y = 2(5^x) - 1
Orlov [11]
<h2>Hello!</h2>

The answer is:

The range of the function is:

Range: y>2

or

Range: (2,∞+)

<h2>Why?</h2>

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

or

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!

5 0
3 years ago
if 1 is added to the denominator of a fraction the fraction becomes 1/2.if 1is added to the numerator of the fraction ,the fract
saw5 [17]

Tricky but not crazy hard. You could use th x/y method where you turn it into a cross multiplication fiasco.

or you can try your guesses through what ever equals 1/2 when you add one to the denominator. the answer you are looking for is 2/3

2/3 + 1 for the numerator = 1.

2/3 + 1 for the denominator = 1/2.

6 0
3 years ago
Read 2 more answers
A tin is a right circular cylinder with a diameter of 6 meters and a height of 10 meters. What is the surface area of this tin,
Alex777 [14]

Answer:

245.04

Step-by-step explanation:

A=2πrh+2πr2=2·π·3·10+2·π·32≈245.04423

Divide 6 by 2 to find the radius

5 0
3 years ago
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