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3 years ago

A coin is flipped eight times where each flip comes up either heads or tails. how many possible outcomes

1 answer:

7 0

I think its option A as u cant answer the other 2, we don't know the chances of getting heads or tails we can only see how many of which we can get in total which is 2 as we can only get an outcome of heads or tails

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True, false, or open. Explain. 45/x-14=22

Dmitrij [34]

45/x - 14 = 22
add 14 to both sides

45/x -14 +14 = 22 +14
45/x = 36
36 x = 45
x = 45/36 = 5/4 = 1.25

6 0

3 years ago

In triangle MNO, angle N is 5 times the measure of angle M, and angle O is 4 times the measure of angle M

Helen [10]

Answer:

$m\angle M=18\°\\\\m\angle N=90\°\\\\m\angle O=72\°$

Step-by-step explanation:

In order to find the measure of each angle, it is important to remember that the sum of the interior angles of a triangle is 180 degrees. Knowing this, you can write the following equation:

$M+N+O=180$ [Equation 1]

Based on the information given in the exercise, you know that:

$N=5M$ [Equation 2]

$O=4M$ [Equation 3]

Then, you can substitute the Equations 2 and 3 into the Equation 1 and then solve for "M" in order to find the measure of the angle "M" in degrees:

$M+5M+4M=180\\\\10M=180\\\\M=\frac{180}{10}\\\\M=18$

Substituting this value into the Equations 2 and 3, you can find the measure of the angle "N" in degrees and the mesure of the angle "O" in degrees. These are:

$N=5(18)=90\\\\\\O=4(18)=72$

Therefore:

$m\angle M=18\°\\\\m\angle N=90\°\\\\m\angle O=72\°$

4 0

3 years ago

Use your understanding of the symmetry of the sine and cosine functions to determine the value of tan(−theta) for all

Dmitriy789 [7]

Answer:

$tan(-\theta)=-tan\theta$

Odd function

Step-by-step explanation:

We are given that

$tan(-\theta)$

We have to determine the value of $tan(-\theta)$ and find tangent function is odd,even or neither.

$tan(-\theta)=\frac{sin(-\theta)}{cos(-\theta)}$

$tan\theta=\frac{sin\theta}{cos\theta}$

We know that

$sin(-\theta)=-sin\theta$

$cos(-\theta)=cos\theta$

By using identities

Then, we get

$tan(-\theta)=\frac{-sin\theta}{cos\theta}=-tan\theta$

$tan(-\theta)=-tan\theta$

Odd function: If $f(-x)=-f(x)$

Even function:If $f(-x)=f(x)$

$tan(-\theta)=-tan\theta$

Therefore, function is an odd function.

7 0

3 years ago

A marble is selected at random from a jar containing 4040 red marbles, 5050 yellow marbles, and 1010 green marbles. find the t

Elenna [48]

The answer will be total green plus total red divided by all existing marbles:
(1010 + 4040) / (1010 + 4040 + 5050) = 5050 / 10100 = 1/2 = 0.5

Answer: 0.5

7 0

4 years ago

Which expression is equivalent to - 14 - 6?

Charra [1.4K]

The answer is d. -14 + (-6)

8 0

3 years ago