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3 years ago

Find the area of a circle, in terms of pi, if the radius is 20 ft.

Mathematics

1 answer:

arlik [135]3 years ago

8 0

Area of circle= π·r² so, π·20²= π·400≡ 1256.637061

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In which function is x = 2 mapped to 32 ?

Nataly_w [17]

Answer:

Option 2 is the correct answer

$g(x) = 4 {(x + 3)}^{2} - 68$

Step-by-step explanation:

$g(x) = 4 {(x + 3)}^{2} - 68 \\ \\ \because \: g(2) = 4 {(2 + 3)}^{2} - 68 \\ = 4 {(5)}^{2} - 68 \\ = 4(25) - 68 \\ = 100 - 68 \\ = 32$

5 0

3 years ago

Read 2 more answers

Find the probability of being dealt a full house. (Round your answer to six decimal places.)?

vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

$\dbinom42\dbinom43=24$

and the number of ways of drawing 3 aces and 2 2s is the same,

$\dbinom43\dbinom42=24$

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

$2\dbinom{13}2\dbinom42\dbinom43=3744$

The total number of hands that can be drawn is

$\dbinom{52}5=2,598,960$

Then the probability of getting a full house is

$\dfrac{2\binom{13}2\binom42\binom43}{\binom{52}5}=\dfrac6{4165}\approx\boxed{0.001441}$

4 0

3 years ago

Find the area of the figure in the image attached. Round to the nearest tenth if necessary.

ella [17]

19.8m²

Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.

Side note: 2.7 comes from subtracting 3.6 off of 6.3.

Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²

Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²

Then you add the areas of both the rectangle and the triangle together.

14.4 + 5.4 = 19.8m²

5 0

3 years ago

Read 2 more answers

Help need answer and explanation

aksik [14]

I'm pretty sure it C since line L and line M are parallel

3 0

3 years ago

On number 5 how do you explain how you found your answer

aivan3 [116]

30 girls , 12 were selected

40 boys, 16 were selected

We can simplify these down by finding the Greatest Common Factor in both girls and boys:

30:12 .... 15:6 .... 1 : 2.5 30/12 .... 15/6 .... 2.5

40:16 .... 20:8 .... 1 : 2.5 OR 40/16 .... 20/8 .... 2.5

They are equal ratios because their most simplified ratios/fractions are equivalent

8 0

3 years ago