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3 years ago

Find the missing side round your answer to the nearest tenth

Mathematics

1 answer:

kap26 [50]3 years ago

7 0

Use trigonometric ratios.
Use angle(19)
Adjacent side of angle measure 19 is X
The hypotenuse is 21.
Use the cosine
Cos(19)=x/21

Plug in calculator
(21)cos(19)=19.85

Round to the nearest tenth. Which means the 8 rounds up to 9.

Answer: 19.9

You might be interested in

A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S.

pav-90 [236]

Answer:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of ? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.15 .

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=2.25$ represent the population standard deviation

n represent the sample size

Solution to the problem

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =0.35 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

3 0

2 years ago

I NEED HELP PLEASE!!

prohojiy [21]

60% decimal = .6 fraction= 6/10
3/4 percent =75% (think of $$) decimal =.75
0.23 percent =23% fraction= 23/100
1/8 percent= 12.5 decimal = 0.125
18% decimal= .18 fraction= 18/100 (simplified to 9/50)
2/3 percent=0.6% repeating (so put a line over 6) decimal= 0.6 repeating aswell so do the same as last
Your welcome :)

5 0

3 years ago

The diagram shows a parallelogra,. 3x-15, 2x, 2x, 2x+24, work out x

liraira [26]

Answer:

x = 39

Step-by-step explanation:

In a parallelogram the opposite angles are congruent, thus

3x - 15 = 2x + 24 ( subtract 2x from both sides )

x - 15 = 24 ( add 15 to both sides )

x = 39

7 0

2 years ago

Write a word problem in which you multiply a fraction by a number greater than 1. Estimate the product, then compare the product

Sidana [21]

There are seven people who each want half an ounce of brocolli. So, you multiply 1/2 by 7, which would be around 3 and 1/2. The actual number, will be 3 and 1/2 though as well.

4 0

3 years ago

Can you solve this for me

guajiro [1.7K]

$g(h(x))=g(\sqrt{x+7})=\dfrac{2}{\sqrt{x+7}+9}\\\\f(g(h(x)))=f\left(\dfrac{2}{\sqrt{x+7}+9}\right)=7\cdot\left(\dfrac{2}{\sqrt{x+7}+9}\right)+9\\\\f(g(h(x)))=\dfrac{14+9\sqrt{x+7}+81}{\sqrt{x+7}+9}\\\\(f\circ g\circ h)(x)=\dfrac{95+9\sqrt{x+7}}{9+\sqrt{x+7}}$

With some extra effort, the radical can be removed from the denominator. That result is

$(f\circ g\circ h)(x)=\dfrac{9x+14\sqrt{x+7}-792}{x-74}$

The preferred form would be the one with the radical in the denominator, as it correctly shows the domain of the function to be x ≥ -7. The function actually is defined at x=74, which the "rationalized" form does not show.

6 0

2 years ago