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2 years ago

8

A number cube is rolled. What is the likelihood that a number less than or equal to three is rolled?

1 answer:

ser-zykov [4K]2 years ago

8 0

The probability would be three over 6 in fraction form, which, simplified, is a 50% chance. Hope this helps!

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Which equation best represents the line? y = x 4 y = x 4 y = 4x y = 4x?

Alik [6]

Hello :
<span>equation best represents the line is : y = 4x</span>

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2 years ago

If you flip a coin and roll a 6-sided die, what is the probability that you will flip a tails and roll at least a 2?

Finger [1]

Step-by-step explanation:

Flipping a tails and rolling at least a tail are 2 independent events: they don't affect each other. So, to get the probability of both happening, we just need to multiply the probability of one by the probability of the other. he probability of rolling at least a 2 is 5/6.

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2 years ago

5 more than the product of a number and 4 is equal to 3 use variable y for unknown number

Inessa05 [86]

Answer:

$(y + 4) + 5 = 3 \\ y + 9 = 3 \\ y = - 6 \\$

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8 0

3 years ago

Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t

Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

$\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}$

AC = $\frac{3\text{sin}(53)}{\text{sin}(49)}$

AC = 3.17 miles

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}$

AB = $\frac{3\text{sin}(78)}{\text{sin}(49)}$

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

7 0

2 years ago

∠A and \angle B∠B are vertical angles. If m\angle A=(6x-11)^{\circ}∠A=(6x−11) ∘ and m\angle B=(5x+4)^{\circ}∠B=(5x+4) ∘ , then f

ICE Princess25 [194]

Answer: $\angle B=79^{\circ}.$

Step-by-step explanation:

When two lines cross each other , then the opposite angles are known as vertical angles.

Vertical angles are equal.

Here, ∠A and ∠B are vertical angles.

So, ∠A = ∠B

If $\angle A=(6x-11)^{\circ}$ and $\angle B=(5x+4)^{\circ}$

Then , $6x-11=5x+4$

Subtract 5x from both sides, we get

$x-11=4$

Add 11 on both sides, we get

$x=15$

Now , $\angle B=(5(15)+4)^{\circ}=79^{\circ}$

Hence, the measure of $\angle B=79^{\circ}.$

3 0

2 years ago