The circumference of a circle with a radius of 12 cm is 75.45 cm
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The circumference of a circle is given by:
Circumference = 2π * radius
Hence:
Circumference = 2(22/7)(12) = 75.45 cm
The circumference of a circle with a radius of 12 cm is 75.45 cm
Find out more on equation at: brainly.com/question/2972832
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Step-by-step explanation:
We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,
→ (a + b)² = a² + b² + 2ab
→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)
We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)
Solve the brackets, to do so first put the like terms in one box.
→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)
Solve the rest calculations.
→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)
→ (2√5 + 3√2)² = 38 + 12√10
Option (a) (38 + 12√10) is the correct option.
Answer:
x =12
Step-by-step explanation:
We can use the Pythagorean theorem to solve for x
a^2 + b^2 = c^2
16^2 + x^2 = 20^2
256 +x^2 = 400
Subtract 256 from each side
256-256 +x^2 = 400-256
x^2 =144
Take the square root of each side
sqrt(x^2) =sqrt(144)
x = 12
Answer:

Step-by-step explanation:
The missing parameters are:
--- population
--- population mean
-- population standard deviation
Required

First, calculate the sample standard deviation




Next, calculate the sample mean 

So:

So, we have:



Calculate the z score




So, we have:

From the z table

So:

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