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Step2247 [10]
3 years ago
10

Given the circumference of a circle is 8π centimeters, calculate the area of the circle in terms of π.

Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

16π cm²

Step-by-step explanation:

circumference = 2πr

Area = πr²

We need to determine r to calculate the area

2πr = 8π

Divide both sides of the equation by 2π to find r

r = 4

Now, we determine area.

area =  πr² =   π4² = 16πcm²

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Discrete MathA coin is flipped four times. For each of the events described below, express the event as a set in roster notation
Vladimir79 [104]

Answer:

a) 25%

b) 50%

c) 87.5%

Step-by-step explanation:

There are 2^4 = 16 number of outcome in total.

a)First and last flips come up heads. There are 4 outcomes here. Probability of the event is 4/16 = 1/4, or 25%.

- HHHH

- HHTH

- HTHH

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b) at least 2 Consecutive flips that is heads. There are 8 outcomes. Probability of event is 8/16 = 1/2, or 50%

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- HHTT

- THHH

- THHT

- HTHH

- TTHH

c) At least 2 consecutive flips that are the same. There are 14 outcomes. Probability of 14/16 = 7/8, or 87.5%

- HHHH

- HHHT

- HHTH

- HHTT

- THHH

- THHT

- HTHH

- TTHH

- TTTT

- TTTH

- TTHT

- HTTT

- HTTH

- THTT

6 0
3 years ago
The area of a parallelogram is modeled by the formula, A = lw. Solve the equation for w.
erastovalidia [21]
Hello there! Thank you for asking your question here at Brainly! I will be assisting you with answering this question today, and will teach you how to handle it on your own in the future.

First, let's look at our problem.
"A = L * W, solve for W."

This is basic algebra, but I will teach you how to tackle this problem, so you can do it on your own.

So, we have the following equation:
A = L * W
To solve for W, we need to get it alone on one side of the equation. Currently, it is not alone, but rather is being multiplied by L.
To isolate W, we need to perform the opposite order of operations on both sides of the equation.

A = L * W
Divide both sides by L to isolate and solve for W.

W = \frac{A}{L} is our solution.

The following equation matches the answer choice "C".

Your answer is "C."

I hope this helps!
3 0
3 years ago
A number increases by 10%, and then decreases by 10%. Will the result be greater than, less than, or equal to the original numbe
elena-s [515]
Given that the number is x,
10% increase will give us a new number of:
110/100*x
=1.1x
10% decrease will give us a new number of:
90/100*1.1x
=0.99x
This implies the new number is less than the original number 
3 0
3 years ago
Tanya spent $8.15 on 5 cans of tuna. She used a coupon that gave her 35 cents off each can. What was the price of a can of tuna
user100 [1]

she spent 1.98 ..............

5 0
3 years ago
In an isosceles triangle, one of the equal interior angles is equal to the adjacent exterior
yarga [219]

Answer:

Step-by-step explanation:

can you show a picture?

5 0
2 years ago
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