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3 years ago

The volume of a cylinder is 480pie cm3. The height of the cylinder is 30 cm. What is the radius of the

Mathematics

1 answer:

guajiro [1.7K]3 years ago

7 0

Answer:

R = 4cm

Step-by-step explanation:

V = π(R)²h = 480π

Divide by π

(R)²h = 480

Substitute h with 30

30*(R)² = 480

Divide by 30

(R)² = 16

Square root

R = 4cm

We do not accept R= -4 because it's a length, so it must be positive.

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What is the value of X?

Elodia [21]

Answer:

Vertical Angles

x = 21

Step-by-step explanation:

Vertical Angles

4x + 3 = 87

4x = 84

x = 21

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3 years ago

Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

MrRissso [65]

Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

$n-1=51$

Therefore, the probability of drawing a three at the 2nd draw is

$p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784$

Then, at the third draw, the previous 2 cards are not replaced, so there are now

$n-2=50$

cards in the deck. So, the probability of drawing a jack is

$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

$p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}$

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3 years ago

Three more than 8 times a number is 29. Find the number.

yanalaym [24]

Well, first off, to solve for this, we can write the expression and then solve from there.
Expression: 8x + 3 = 29
So, now that we have our expression, we can solve for our missing number using the balancing method.
8x + 3 = 29
8x + 3 - 3 = 29 - 3 (we subtracted the three because we needed to get rid of the three on the left side of the equation do now we are just left with 8x = 26.
8x = 26
8x/8 = 26/8. (So, the 8 on the left side cancels out and we are just left with X.
X = 26/8
X = 13/4
X = 3 and 1/4
So, in conclusion, the answer to this question is: X = 3 and 1/4 as a mixed number or 13/4 as an improper fraction.
Glad I could help!

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3 years ago

3x(x2 + 2x – 6) + 4(x2<br> – 6x + 2)

Drupady [299]

Step-by-step explanation:

3x(x2 + 2x – 6) + 4(x2

– 6x + 2)

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3 years ago

Carlos is in the 12% tax bracket. Over the course of the year, he paid $2,000 in student loan interest. This $2,000 decrease in

gulaghasi [49]

Answer:

The $2,000 decrease in Carlos's taxable income will save him

$= \frac{12}{100} \times \$2000 = \$240.$

Step-by-step explanation:

i) Carlos is in the 12% tax bracket.

ii)The $2,000 decrease in Carlos's taxable income will save him

$= \frac{12}{100} \times \$2000 = \$240.$

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3 years ago