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3 years ago

Which expression is equal to 6rs^9/42r^5s^2

1 answer:

6 0

$\dfrac{6rs^9}{42r^5s^2}=\dfrac{6}{42}\cdot\dfrac{r}{r^5}\cdot\dfrac{s^9}{s^2}=\dfrac{1}{7}\cdot\dfrac{1}{r^4}\cdot\dfrac{s^7}{1}=\boxed{\dfrac{s^7}{7r^4}}$

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Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What

S_A_V [24]

Answer:

(B) 0.0588

Step-by-step explanation:

The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:

$P_1=\frac{13}{52}$

Because the deck has 52 cards and 13 of them are diamonds.

Then, if the first card was diamonds, the probability that the second card is also diamond is:

$P_2=\frac{12}{51}$

Because now, we just have 51 cards and 12 of them are diamonds.

Therefore, the probability that both cards are diamonds is calculated as a multiplication between $P_1$ and $P_2$ . This is:

$P=\frac{13}{52}*\frac{12}{51}=\frac{1}{17}=0.0588$

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2 years ago

What is the area of the triangle one side is 13 one side is 13 one side is 10

Temka [501]

The answer is

A=1/2bh

So the base number times height number divided by two!!

6 0

2 years ago

Yoko is trying to save money for a new bicycle. She sets up a budget as shown below. Yoko’s Monthly Budget Description Income Po

KonstantinChe [14]

Answer:

$85

Step-by-step explanation:

Earning:

$125 + $55 = $180

Spending:

$25 + $10 + $25 + $35 = $95

Amount available for saving:

$180 - $95 = $85

5 0

2 years ago

Read 2 more answers

Find the values of x and y. Pls helpI’m helpless at math

Svetradugi [14.3K]

Answer:

x = 1

$y=\frac{\sqrt{3}}{2}$

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The adjacent to the angle ∠60° is 1/2.

The opposite to the angle ∠60° is y.

The hypotenuse = x

Determining the value of x:

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

$cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}$

$\cos \left(60^{\circ \:}\right)=\frac{1}{2x}$

$\frac{1}{2}=\frac{1}{2x}$ ∵ cos (60°) = 1/2

$2x=2$

Dividing both sides by 2

$\frac{2x}{2}=\frac{2}{2}$

Simplify

$x=1$

Thus, the value of hypotenuse x is:

x = 1

Determining the value of y:

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

$y=\frac{\sqrt{3}}{2}$ ∵ $\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$

Therefore, the value of y is:

$y=\frac{\sqrt{3}}{2}$

Summary:

x = 1

$y=\frac{\sqrt{3}}{2}$

5 0

2 years ago

Find the measure of the indicated angle

Margarita [4]

Answer:

the unknown angle is 88°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the opposite interior angles. Therefore, in the tall triangle, 60 + 40 = 100, meaning the bottom left angle in the small triangle is 100-64=36. And b/c angle sum of a triangle is 180°, 180-36-56=88°

6 0

3 years ago

Read 2 more answers