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3 years ago

What is the value of X to the nearest tenth in the triangle below? the triangle is not drawn to scale

Mathematics

1 answer:

Semmy [17]3 years ago

8 0

Answer:

x = 13.9

Step-by-step explanation:

With respect to the angle shown, we have the hypotenuse (the side opposite the 90 degree angle) and we have the adjacent side (which is the side labeled x). thus we can use the ratio "cosine" to solve this.

The ratio of cosine is defined as:

$Cos\theta=\frac{Adjacent}{Hypotenuse}$

Where adjacent and hypotenuse are the respective sides and $\theta$ is the angle

Thus, we can now write:

$Cos\theta=\frac{Adjacent}{Hypotenuse}\\Cos(35)=\frac{x}{17}\\Cos(35)*17=x\\x=13.9$

The first answer choice is right, x = 13.9

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Draw a number line and mark all described points. a −1≤x≤3

kirill115 [55]

Answer:

Closed Dot on -1 with arrow pointing to the right with Closed Dot on 3.

X-----------------X

-1 3

Step-by-step explanation:

7 0

3 years ago

Dylan wants to determine a 90 percent confidence interval for the true proportion of high school students in the area who attend

Over [174]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11$

And rounded up we have that n=748

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The best estimatr for the proportionis 0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11$

And rounded up we have that n=748

5 0

3 years ago

There are 110 calories per 28.4 grams of Cereal X. Find how many calories are in 36.92 grams of this cereal.

leonid [27]

Calories are defined as the amount or quantity of energy gotten from the food people consume.

36.92 grams of this cereal has 143 calories.

From the question,

28.4 grams = 110 calories

36.92 grams = ?

Cross multiply

36.92 grams x 110 calories / 28.4 grams

= 143 calories.

Therefore, 36.92 grams of this cereal has 143 calories.

To learn more, visit the link below:

brainly.com/question/22877488

4 0

2 years ago

Help plzzz asap u will give brainlest answet plzz

matrenka [14]

√9 = 3

∛729 = 9

√100 = 10

∛216 = 6

√64 = 8

∛343 = 7

7 0

3 years ago

Read 2 more answers

25 points please help thanks

weeeeeb [17]

Answer:

Step-by-step explanation:

With a slope of 1 and a y intercept of -3

y = 1x - 3

y = 1(-2) - 3

y = -5

(-2, -5)

6 0

2 years ago