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3 years ago

Find the area (shaded) and round to the tenths place if necessary.

Mathematics

1 answer:

fomenos3 years ago

6 0

Answer:

9π - 9

Step-by-step explanation:

Depends on what the question stated was pi (π). The area of the circle is 9(3 squared) * π. the shaded area is the area of the circle - the area of the triangle. The area of the triangle is base * high / 2. If the diameter of the circle (6) is what we use as the base, then 3 would be the high, making the area 9. This means the shaded area would be 9π - 9.

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Isabel’s car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas how many miles can Isabel drive on a full tank o

bagirrra123 [75]

Isabel can drive 505.85 miles with a gas tank that holds 15.1 gallons of gas

Solution:

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find: Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.1 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

$1 \times x = 15.1 \times 33.5\\\\x = 505.85$

Thus Isabel can drive 505.85 miles on a full tank of gas

6 0

4 years ago

Find the maximum and minimum values of the function. Y=-cos8x

natka813 [3]

Answer:

Step-by-step explanation:

Given a sinusoidal function (sine function or cos function) in the form

y = A Cos (Bx), we can say that A is the amplitude.

Amplitude defines the function's maximum and minimum.

The maximum of this form of function is A and the minimum is -A.

The function given is y = -Cos(8x), so A is -1

Thus, maximum value is 1 and minimum value is -1.

Correct answer is A

8 0

3 years ago

What value of n makes the equation true?

goldenfox [79]

Answer:

n=10

Step-by-step explanation:

You need n to be 10 because: y^20= (y^10)^2

4 0

4 years ago

Read 2 more answers

Find the slope of the line between those two points

PtichkaEL [24]

Answer:

m=4

Step-by-step explanation:

Using the slope formula: y2 - y1 / x2 - x1

m = 4 - (-4) / 5 - 3

m = 8 / 2

m = 4

8 0

3 years ago

If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct charac

mezya [45]

There are $\binom{52}4$ ways of drawing a 4-card hand, where

$\dbinom nk = \dfrac{n!}{k!(n-k)!}$

is the so-called binomial coefficient.

There are 13 different card values, of which we want the hand to represent 4 values, so there are $\binom{13}4$ ways of meeting this requirement.

For each card value, there are 4 choices of suit, of which we only pick 1, so there are $\binom41$ ways of picking a card of any given value. We draw 4 cards from the deck, so there are $\binom41^4$ possible hands in which each card has a different value.

Then there are $\binom{13}4 \binom41^4$ total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is

$\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761$

4 0

2 years ago