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2 years ago

15

A stack of 200 pennies is 1.325 inches tall. Mario guesses that each penny is 0.013 inches thick. Explain how you know Mario’s a

nswer is not correct.

1 answer:

VARVARA [1.3K]2 years ago

8 0

Answer:

He is wrong because you would divide 1.325 inches by 200 and get 0.006625 inches instead of 0.013 inches.

Step-by-step explanation:

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Over the interval [0, 2π), what are the solutions to cos(2x) = cos(x)? Check all that apply.

valentinak56 [21]

Answer:

Step-by-step explanation:

given the expression;

cos(2x) = cos(x)

According to trig identity;

cos(2x) = cos(x+x)

cos(2x) = cos x cos x - sinx sinx

cos(2x) = cos²(x)-sin²(x)

cos(2x) = cos²(x)-(1-cos²x)

cos(2x) = cos²(x)+cos²x-1

cos(2x) = 2cos²(x)-1

2cos²(x)-1 = cos(x)

let P = cosx

2P²-1 = P

2P²-P-1 = 0

Factorize;

2P²-2P+P-1 = 0

2P(P-1)+1(P-1) = 0

2P - 1 = 0 and P-1 = 0

P = 1/2 and 1

cosx = 1/2 and cos x = 1

x = arccos 1/2

x = π/3

Also;

x = arccos1

x = 0

Hence the value of x are 0 and π/3

Also the angle = π+ π/3 = 4π/3

The angles are 0, π/3 and 4π/3

4 0

3 years ago

Read 2 more answers

Height of basketball players has a bell shaped distribution with mean 72.5 inches and standard deviation 3.25 inches. A height o

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Sorry cant answer right know

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3 years ago

A stack of thirty cards is placed next to a ruler, and the height of stack is measured to be 3 /4 of an inch. How thick is one c

ANEK [815]

You need to divide 3/4 inches by 30 cards.

Using the reciprocal rule,

(3/4)/30 = (3/4)*(1/30)

Multiplying fractions,
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3 years ago

You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $36, otherwise, you lose $30. What is yo

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$-12

In rolling a single die, there are 6 possible outcomes. To win, there are two possible outcome making the probability equal to 2/6. Moreover to loss, there are 4 possible outcomes, making the probability equal to 4/6.Calculating the cost,
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Thus, the expected value of the game is $-12.

3 0

1 year ago

Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4.

meriva

Answer:

Option C.

Step-by-step explanation:

The given logarithmic equation is

$\log_2(x+11)=4$

It can be written as

$(x+11)=2^4$ $[\because log_ax=y\Leftrightarrow x=a^y]$

$x+11=16$

$x=5$

Now, to check whether $x=5$ is a true solution or not. Substitute $x=5$ in the LHS of given equation.

$LHS=\log_2(5+11)$

$LHS=\log_2(16)$

$LHS=\log_22^4$

$LHS=4$ $[\because log_aa^x=x]$

$LHS=RHS$

Hence, $x=5$ is a true solution because $\log_2(16)=4$ .

Therefore, the correct option is C.

5 0

3 years ago