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2 years ago

How many outcomes are in the sample space when rolling a standard number cube and spinning a spinner with 4 equal sections?

Mathematics

2 answers:

Rufina [12.5K]2 years ago

7 0

Answer: 24

Step-by-step explanation: A standard cube has 6 sides. The spinner has 4 sections. For any section of the spinner you land on, you can land on one of 6 sides of the dice.

4*6

Oksi-84 [34.3K]2 years ago

5 0

24 is the answer hope this helps

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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

What is the constant of vanation, of the line y = for through (3.18) and (5,30)?

Naily [24]

the constant of variation or namely its slope will be

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{30}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{30-18}{5-3}\implies \cfrac{12}{2}\implies 6$

8 0

2 years ago

Make x the subject of the formula Y=3x+2

andrew-mc [135]

Answer:

(y-2)÷3=x

Step-by-step explanation:

y=3x+2

y-2=3x

(y-2)÷3=x

This answer could also be written as a fraction: y-2 over 3, equals x.

5 0

2 years ago

Can u help me with my work don’t send a link !!!

lisov135 [29]

Answer:

A and C

Step-by-step explanation:

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2 years ago

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6. A hot air balloons each descend 100 feet per minute for 5 minutes. Find the total change in altitude for the hot air balloon.

monitta

Answer:

Step-by-step explanation:

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2 years ago