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2 years ago

Pleasssseeeee help its almost due

Mathematics

1 answer:

Tom [10]2 years ago

6 0

In A x=64 bc alternate interior angles are congruent and 128/2= 64. In B x=75 bc alternate exterior angles are also congruent and (151-1)/2 = 75. In C x=12 bc consecutive interior angles are supplementary. 7x+24+72=180 180-72-24=84 84/7=12

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How many cups of popcorn does Harlan use per cup of cereal?

wariber [46]

Answer:

1. 2 cups

2. 0.5.

Hope this helps!

Step-by-step explanation:

5 0

3 years ago

Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.

Lyrx [107]

First, tan(θ) = sin(θ) / cos(θ), so if cos(θ) = 3/5 > 0 and tan(θ) < 0, then it follows that sin(θ) < 0.

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Then

sin(θ) = -√(1 - cos²(θ)) = -4/5

and so

tan(θ) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(θ) = 1/cos(θ) = 5/3

csc(θ) = 1/sin(θ) = -5/4

cot(θ) = 1/tan(θ) = -3/4

4 0

3 years ago

3(x+2)-2(×+1) i need help with this problem

zhuklara [117]

Question:

What is 3(x + 2) - 2(x + 1)?

Steps:

When you solve this type of equation always use the distributive property formula to solve this equation!

Formula: a(b + c) = ab + ac

So, what is 3(x + 2) ?

3x + 6

Also, what is -2(x + 1)?

-2x - 2

Then, put it back into the equation for you to solve this problem.

So, this would be the new equation:

3x + 6 - 2x - 2

Then, what you want to do is put variables next to each other and the numbers next to each other so it will be easier to simplify:

3x - 2x + 6 - 2

Then, simplify:

x + 4 is the answer!

Since 3x - 2x = x and 6 - 2 = 4

Hope that helped!!

~Serina

7 0

3 years ago

A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)