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3 years ago

May someone pls help me with this question

Mathematics

1 answer:

tekilochka [14]3 years ago

8 0

Answer:

Step-by-step explanation:

P(BorL)=(2/8)+(1/8)=(3/8)

He is expected to wear boots or loafers in the next 264 days

264(3/8)=99 of those days

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Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE

AVprozaik [17]

Answer:

Step-by-step explanation:

We are given that:

$\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi$

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

$\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}$

Using double angle identities:

$\displaystyle \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}$

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

$\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}$

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2> $\displaystyle \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}$ </h2>

Simplify:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}$

Evaluate:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}$

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

$\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}$

So, our answer is D.

7 0

3 years ago

Which number is the greatest?

Finger [1]

Answer:

Step-by-step explanation:

8 0

3 years ago

Find the value of x if 212x5 is a multiple of 3 and 11 please find out now guys HELP!

sammy [17]

Answer:

x = 8

Step-by-step explanation:

If the number 212x5 is a multiple of 3, the sum of the digits needs to be a multiple of 3, so we have:

2 + 1 + 2 + x + 5 = 10 + x

The value of x can be 2, 5 or 8

If the number is a multiple of 11, we have to calculate the first number minus the second, plus the third, minus the fourth... and so on, and the result needs to be a multiple of 11. So we have:

2 - 1 + 2 - x + 5 = 8 - x

x needs to be 8, so we have 8 - 8 = 0, that is a multiple of 11.

So the value of x is 8.

8 0

3 years ago

What’s the x on this triangle ?

Dmitry [639]

Answer:

x = 5

Step-by-step explanation:

x is the length of the hypotenuse of this triangle. The length of one of the legs of the triangle is 3" and that of the other leg is 4".

Applying the Pythagorean Theorem: x^2 = 3^2 + 4^2, or 25

Thus, the length x is +√25, or 5.

x = 5

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3 years ago

Dominic makes bread to sell at his local farmers' market. It costs $1.58 for Dominic to make a loaf of bread. How much money wil

Ronch [10]

Answer:

$1.58X12=$18.96

Step-by-step explanation:

8 0

3 years ago

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