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3 years ago

What is x? I will give brainliest if you explain your answer.

Mathematics

1 answer:

horsena [70]3 years ago

3 0

Answer:

x = {0, π/2, 3π/2, 2π}

Step-by-step explanation:

cotx cos x - cot x = 0
cotx( cosx - 1) = 0

1. cotx = 0

x = π/2 + πn
In the interval [0, 2π] we have π/2 and 3π/2

2. cosx = 1

x = 0 + 2πn
In the given interval we have 0 and 2π

So the solution set is:

x = {0, π/2, 3π/2, 2π}

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A bag contains 32 red blocks, 47 green blocks, 21 yellow blocks, and 25 purple blocks. You pick one block from the bag at ran

Studentka2010 [4]

Answer:

P(green or purple) = 0.576

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

32 + 47 + 21 + 25 = 125 blocks.

Of those, 47 + 25 = 72 are green of purple

P(green or purple) = 72/125 = 0.576

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4 years ago

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juin [17]

answer: d

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Factor the numerator and denominator and cancel the common factors.

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3 years ago

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3 years ago

Leanne has a gas card that has $150 on it. She spends $25 a week on gas. Write and recursive rule that represents the amount of

Tems11 [23]

In this question, it is given that

Leanne has a gas card that has $150 on it. She spends $25 a week on gas.

And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week .

Recursive rule shows the relationship between previous value and the current value .

And here, the recursive rule is

$a_{n} = a_{n-1}-25n$

Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .

So for n=1, that is amount in the card after 1 week, we will get

$a_{1} = a_{1-1} -25(1)
\\
a_{1} = a_{0} -25
\\
a_{1} = 150 -25
\\
a_{1} = $125$

And that's the amount remaining in the card after 1 week .

5 0

3 years ago

Leila and jo are two of the partners in a business. Leila makes $3 in profits for every $4 that jo makes. If jo makes $60 profit

Aleonysh [2.5K]

Let

x-------> Leila 's profit

y------> Jo's profit

we know that

$\frac{x}{y} =\frac{3}{4}$ ----------> equation $1$

For $y=\$60$

Find the value of x

Substitute the value of y in the equation $1$

$\frac{x}{60} =\frac{3}{4}$

$x=60*\frac{3}{4}$

$x=\$45$

therefore

the answer is

Leila make $\$45$ in profit

5 0

3 years ago

Read 2 more answers