14. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
32
19
5

Answer:

A. -1/8x + 3/16

Step-by-step explanation:

-1/2(1/4x - 3/8)

Distribute the -1/2 into both the terms in the equation.

-1/2 * 1/4x = -1/8x

-1/2 * -3/8 = 3/16

Now combine both the expressions.

This makes your answer A,

[tex]-\frac{1}{8}x+\frac{3}{16}[/tex]

Step-by-step explanation:

B. not a rational number

Answer:

The results are presented below.

Question 1 - sin L = [tex]\frac{3}{5}[/tex]

Question 2 - tan N= [tex]\frac{4}{3}[/tex]

Question 3 - cos L = [tex]\frac{4}{5}[/tex]

Question 4 - sin N= [tex]\frac{4}{5}[/tex]

Question 5 - x=8.5

Question 6 - x=27.2

Step-by-step explanation:

For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.

This question asks the sin L.  You can find this value from the trigonometric ratio of sin from given right triangle:

        [tex]sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}[/tex]

This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:

        [tex]tan N=\frac{opposite}{adjacent} \\\\[/tex]

The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.

       [tex]10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8[/tex]

There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.

      [tex]tan N=\frac{8}{6} =\frac{4}{3}[/tex]

This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:

      [tex]cos L=\frac{adjacent}{hypotenuse}[/tex]

The adjacent side (ML) you found in the question 2. ML=8, therefore:

      [tex]cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}[/tex]

This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:

      [tex]sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}[/tex]

You can find x from the trigonometric ratio of cos :

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}[/tex]

From calculator, you have cos 32° = 0.8480. Then,

      [tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5[/tex]

You can find x from the trigonometric ratio of sin:

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}[/tex]

From calculator, you have sin 54° = 0.8090. Then,

      [tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2[/tex]

Learn more about trigonometric ratio here:

brainly.com/question/11967894

Answer:

Step-by-step explanation:

Answer:

1,172.3 cm³

Step-by-step explanation:

Find the volume of one rod, then divide the total volume of steel used by the volume of one rod.  The volume of one rod is

V = (πd²/4)h

d = 4 cm

h = 20 cm

Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V.  If the result is not an integer, then round down.

Add

20 + 4 = 24

Then

28,134.4 ÷ 24 = 1172.26

Rounded to the nearest 0.1 or  the Tenths Place = 1,172.3

Therefore, 1,172.3 rods will be made per hour.

Answer:

Statement from the IRS each year. He wants to check how many Social Security credits he received

for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did

not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.

O

Ob

Ос

Od

1

4

3

Answer:

The mean is 17.091

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

9514 1404 393

Answer:

  multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

  cos(36°) = 16/d

  d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

  d ≈ 19.78

__

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

  [tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]

__

The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

Comment on numerical precision

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

Answer:

The distance from the pitcher's hand to home plate is 60 feet, 6 inches. So…… At 100 mph the ball covers 146.7 feet per second, or 0.412 seconds to get to the batter. Less than half a second!

Answer:

omg what interesting i will see what i will come up with

Answer:

the first one

Step-by-step explanation:

Answer:

C.30

Step-by-step explanation:

Its a pattern that increases by $5 as it goes down.

Answer: Rectangle and Parallelogram

Step-by-step explanation:

Answer:

One could be a parallelogram that does not contain an internal right angle and the other a rectangle.  

Step-by-step explanation:

Answer:

2 61/162

Step-by-step explanation:

Answer:

-2x+10

Step-by-step explanation:

-2(x-5)

Distribute

-2*x -2*-5

-2x+10

Answer:

The distance is 185 between the points (-7,3) and (4,-5)

Step-by-step explanation:

Answer:

Hi! The answer to your question is [tex]\sqrt{185}[/tex]

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

No thanks ~~~~~~~~~~~~

Answer:

False

Step-by-step explanation:

It should be ∝ .. if that’s what your asking

9514 1404 393

Answer:

  340, 250, 160, 70, -20, -110

Step-by-step explanation:

The first term is given. Each successive term is found by adding the common difference to the one before.

  [tex]a_1=\boxed{340}\quad\text{given}\\a_2=340-90=\boxed{250}\\a_3=250-90=\boxed{160}\\a_4=160-90=\boxed{70}\\a_5=70-90=\boxed{-20}\\a_6=-20-90=\boxed{-110}[/tex]

Answer:

the probability is 0.0202

Step-by-step explanation:

The computation is shown below:

Given that

The Average life span = 17 hours

Standard deviation = 0.8 hours

Sample = 30 batteries

Sample mean = 16.7 hours

Now based on the above information

The probability is

[tex]P (\bar x \leq 16.7) = P (\frac{\bar x - \mu}{(\frac{\sigma }{\sqrt{n} } )} \leq (\frac{16.7 - \mu}{(\frac{\sigma }{\sqrt{n} } )}\\\\= P(z\leq \frac{16.7-17}{\frac{0.8}{\sqrt{30} } } )\\\\= P(\leq -2.05)\\\\= 0.0202[/tex]

Hence, the probability is 0.0202

Answer:

The critical value that should be used in constructing the confidence interval is T = 3.25.

The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.25 which is the critical value that should be used in constructing the confidence interval.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.25\frac{5.84}{\sqrt{10}} = 6.002[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 22.5 - 6.002 = 16.498 bushels per acre

The upper end of the interval is the sample mean added to M. So it is 22.5 + 6.002 = 28.502 bushels per acre

The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.

Answer:

can we see the text and part a

like you know the question is asking abt that

Answer:

18

Step-by-step explanation:

have a good day :)))))))

Answer:

18

Step-by-step explanation:

the gcf is 18

have a great day!

Answer:

3/36 -> 1/12 or 2/36 -> 1/18

Step-by-step explanation:

1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed

Do they want you to label everything, what are they looking for?