All categories

3 years ago

In the triangle below, the value of a is 12.6. True False

Mathematics

1 answer:

aev [14]3 years ago

7 0

Answer:

True

Step-by-step explanation:

Formula

Tan(x) = opposite / adjacent

Givens

x = 42

adjacent = 14

opposite = ?

Solution

Tan(42) = opp/14 Find tan(42)

Tan(42) = 0.900404

0.900404 = opp/ 14 Multiply both sides by 14

14 * 0.900404 = opp/14 * 14 Simplify the left

12.6 rounded = opp

a = 12.6

You might be interested in

The height of a hill, h(x), in a painting can be written as a

matrenka [14]

Answer:

First option: $6\ inches$

Step-by-step explanation:

<h3> The complete exercise is: "The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches $h(x) = -\frac{1}{5}(x)(x -13)$ . What is the height of the hill in the painting 3 inches from the left side of the picture?</h3>

You have the following function provided in the exercise:

$h(x) = -\frac{1}{5}(x)(x -13)$

You know that $h(x)$ represents the height of the hill (in inches) and "x" represents the distance from the left side of the painting (in inches)

Knowing that you can determine that, if the painting 3 inches from the left side of the picture, the value of "x" is the following:

$x=3$

Therefore, you need to find the value of $h(x)$ when $x=3$ in order to solve this exercise.

So, the next step is to substitute $x=3$ into the function:

$h(x) = -\frac{1}{5}(3)(3 -13)$

And finally, you must evaluate in order to find $h(3)$ .

You get that this is:

$h(3) = -\frac{1}{5}(3)(-10)\\\\h(3) = -\frac{1}{5}(-30)\\\\h(3)=6$

4 0

3 years ago

Read 2 more answers

50 POINTS!!! PLEASE HELP DUE SOON

Mnenie [13.5K]

Answer:

sorry I tried But Don't Know The Answer

7 0

1 year ago

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa

Triss [41]

Answer:

Longer than 27.7 minutes.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 25, \sigma = 4$