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3 years ago

What is the length of the altitude

Mathematics

1 answer:

egoroff_w [7]3 years ago

4 0

There are a few ways you could go about this. One way is to use sin 60 to calculate the value of a. In other words, sin 60 = a / 8sqrt(3). Simplifying that you should get a = 12.

So F should be the right answer.

Cheers and good luck

You might be interested in

A manufacturing unit currently operates at 80 percent of its capacity. The profit function for the unit at the optimum output, x

dem82 [27]

Answer:

The correct answers are c. p(f(x)) = -.064x^2+64x-60

and b. 15,940.

Step-by-step explanation:

This is correct on the test

5 0

3 years ago

5. Suppose that a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organ

mart [117]

Answer:

Probability that the sample proportion will be greater than 0.5 is 0.8133.

Step-by-step explanation:

We are given that the a particular candidate for public office is in fact favored by p = 48% of all registered voters. A polling organization is about to take a simple random sample of voters and will use the sample proportion to estimate p.

Suppose that the polling organization takes a simple random sample of 500 voters.

Let $\hat p$ = sample proportion

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

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion = 48%

n = sample of voters = 500

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.

So, probability that the sample proportion will be greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.50) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\frac{0.50-0.48}{\sqrt{\frac{0.50(1-0.50)}{500} } }$ ) = P(Z < 0.89) = 0.8133

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.89 in the z table which has an area of 0.8133.

Therefore, probability that the sample proportion will be greater than 0.50 is 0.8133.

6 0

3 years ago

Which statement best explains why the dilation of a triangle produces a similar triangle

Allushta [10]

Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle

Step-by-step explanation:

The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.

If | k |> 1, the dilation is an extension.
If | k | <1 it is reduction.

The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.

If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.

6 0

3 years ago

To which płace would you round to estimate 6,904-4,111 explain

Rainbow [258]

To estimate you would round the numbers, so it would be 7,000 - 4,000 = 3,000.

8 0

3 years ago

Plz help plz help me

borishaifa [10]

Answer:

6384

Step-by-step explanation:

multiply 48, 16, and 7

6 0

3 years ago

Read 2 more answers