AREA OF CIRCLES PLS HELPP

Mathematics

1 answer:

Ksju [112]3 years ago

7 0

Answer:

r = 3 ft

Step-by-step explanation:

A = πr²

9π = πr²

9π/π = r²

9 = r²

√9 = r

3 = r

Hope this helps!

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Consider a standard deck of 52 playing cards, a randomly selected card from the deck, and the following events: R = red, B = bla

Alika [10]

Answer:

Events D and C are mutually exclusive.

Step-by-step explanation:

Two events D and C are mutually exclusive if

$Pr(D\cup C)=Pr(D)+Pr(C)$

Find these probabilities. In a standard deck of 52 playing cards there are 13 diamond cards and 13 club cards.

The probabilty of chosing diamond is

$Pr(D)=\dfrac{13}{52}=\dfrac{1}{4}$

The probabilty of chosing club is

$Pr(C)=\dfrac{13}{52}=\dfrac{1}{4}$

The probabilty of chosing diamond or club is

$Pr(D\cup C)=\dfrac{13+13}{52}=\dfrac{1}{2}$

Since

$\dfrac{1}{2}=\dfrac{1}{4}+\dfrac{1}{4},$

events D and C are mutually exclusive.

6 0

3 years ago

Solve the right triangle shown in the figure BC = 1.6in< A=48.8 C =90

yKpoI14uk [10]

Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
$\tan 41.2 = \frac{x}{1.6}$
Multiply both sides by 1.6:
$1.6 \tan 41.2 = x
\\ 3.67 = x$
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
$(1.6)^2+(3.67)^2=c^2
\\ 2.56+13.4689=c^2
\\ 16.0289=c^2
\\ \sqrt{16.0289} = \sqrt{c^2}
\\ 4=c$
The length of side AC, the hypotenuse, is 4 inches.

3 0

3 years ago

Read 2 more answers

What is the answer if x=2? -3x^2+14x-2

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