find the measure of the angle marked with a? Using inverse trig functions. Round your answer to the nearest degree. part 3​

Find The Measure Of The Angle Marked With A? Using Inverse Trig Functions. Round Your Answer To The Nearest

Answers

Answer 1

Answer:

The unknown angle =

27°

Note :

SOH = Sin angle = Opposite/hypotenuse

CAH = Cos angle = Adjacent/Hypotenuse

TOA = Tan angle = Opposite/Adjacent

Find The Measure Of The Angle Marked With A? Using Inverse Trig Functions. Round Your Answer To The Nearest
Answer 2

Answer:

[tex]\theta \approx 27.5\º[/tex]

Step-by-step explanation:

Once

[tex]$\sin(\theta) = \dfrac{\text{Opposite}}{\text{hypotenuse}} =\frac{12}{26}=\frac{6}{13} $[/tex]

And

[tex]\arcsin \left(\dfrac{6}{13} \right)=\theta[/tex]

[tex]\theta \approx 27.5\º[/tex]


Related Questions

find the midpoint of the line segment with the given endpoints (-4,4), (5,-1)

Answers

Answer:

-4+5/2 , 4+(-1)/2

1/2  ,  3/2

(-4+5/2) (4+(-1)/2)

(1/2) (3/2)

(0.5 , 1.5) Answer

How do you write 3 √ x 2 as an exponential form?

Answers

Answer:

log (2x)=3

log (3x)=2

3=log(x)

Can someone help me with this problem: Solve m/5 =4. m =​

Answers

Answer:

m is equal to 20.

Step-by-step explanation:

20/5=4

(√5x+11 -4)(√5x+11 +4)

Answers

Answer:

5[tex]x^{2}[/tex]+49.193496x+105

Step-by-step explanation:

The cost of a yoga class is $15 per session. In addition,
a mat fee of $2 is charged per session. Which of the
following represents the total cost in dollars, of the
class and mat for y sessions?

Answers

You're charged $15 + $2 or $17 per session

If y = # of sessions,

$17y represents the total amount of dollars charged for y sessions

The total cost in dollars, of the class and mat for y sessions will be 17y. Then the correct option is C.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The cost of a yoga class is $15 per session.

In addition, a mat fee of $2 is charged per session.

Then the total cost in dollars, of the class and mat for y sessions will be

C = 15y + 2y

C = 17y

Then the total cost in dollars, of the class and mat for y sessions will be 17y.

Then the correct option is C.

The complete question is attached below.

More about the linear equation link is given below.

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If Jan sells 2,500 glow sticks on the Fourth of July at $1.99 each, what will her total profit be if each stick cost her $0.87?

Answers

Answer:

This could be wrong I would get a second opinion

The profit would be 2800

Step-by-step explanation:

$1.99 - .87 = $1.12

$1.12 x 2500 = 2800

The profit will be 2800

X If $7500 was compounded annually for 8 years at a rate of .23% how much will it be
worth?
Correct answers
7639.11
7639.12
7,639.11
7,639.12

Answers

Answer:

$7639.12

Step-by-step explanation:

We use the compound formula for accrued value (A) for a principal P deposited at an annual rate "r" over t years

[tex]A = P (1+r)^t[/tex]

In our case, with the given information, the formula becomes:

[tex]A = P (1+r)^t\\A=7500 \,(1.0023)^8\\A = 7639.11602[/tex]

which rounded to the nearest cent gives:  $7639.12

What is the value of x?

Answers

Answer:

2x+2=58

2x=58-2=56

divide both sides by 2

x=28

please help my brain can’t comprehend anything right now

Answers

i think its 10

if not plz correct me

Answer:

0

Step-by-step explanation:

You distribute the 2 into the parenthesis, so 2•5x=10x and 2•4=8. So now you have 10x+8=8. You want to get the x alone so you have to bring the 8 on the left side to the ride and you do that by subtracting 8 in both sides. So 10x+8(-8)=8(-8). That turns into 10x=0 because 8-8=0. and now you want to leave the x alone so you divide by 10 so 10x/10=0/10 and so the 10x/10=x and 0 divided by anything is zero. Therefore, x=0

In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as simple as a sore throat has a mean cost of $328 (Money, January 2009). Assume that the cost for this type of hospital emergency room visitis normally distributed with a standard deviation of $92. Answer the following questions about the cost of a hospital emergency room visit for this medical service.Required:a. What is the probability that the cost will be more than $500?b. What is the probability that the cost will be less than $250?c. What is the probability that the cost will be between $300 and $400?d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Assume a normal distribution :

Mean (m) = 328

Standard deviation (sd) = 92

To obtain Zscore :

Zscore = (x - m) / sd

What is the probability that the cost will be more than $500?

x = $500

Zscore = (500 - 328) / 92 = 172 / 92 = 1.869 = 1.87

1 - p(Z < 1.87) = 1 - 0.9693 = 0.0307

b. What is the probability that the cost will be less than $250?

x = $250

Zscore = (250 - 328) / 92 = - 78 / 92 = - 0.8478 = - 0.85

p(Z < - 0.85) = 0.1977

c. What is the probability that the cost will be between $300 and $400?

x = 300

Zscore = (300 - 328) / 92 = - 28/ 92 = -0.30

p(Z < - 0.3) = 0.3821

x = 400

Zscore = (400 - 328) / 92 = 72/ 92 = 0.783

p(Z < 0.783) = 0.7823

0.7823 - 0.3821 = 0.4002

d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?

Probability is lower 8%

P (Z < Zscore) = 0.08

Zscore of 0.08 corresponds to - 1.41 on the z table

Zscore = (x - m) / sd

-1.41 = (x - 328) / 92

-129.72 = x - 328

-129.72 + 328 = x

x = 198.28

On the basis of data provided by a salary survey, the variance in annual salaries for seniors in public accounting firms is approximately 2.3 and the variance in annual salaries for managers in public accounting firms is approximately 11.3. The salary data were provided in thousands of dollars. Assuming that the salary data were based on samples of 25 seniors and 26 managers, test to determine whether there is a significant difference between the variances of salaries for seniors and managers. At a 0.05 level of significance, what is your conclusion? State the null and alternative hypotheses.

Answers

Answer:

The null hypothesis is  [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]

The alternative  hypothesis is  [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]

The conclusion is  

 There is no  sufficient evidence to conclude that there is a difference between the variances of salaries for seniors and managers

Step-by-step explanation:

From the question we are told that

   The variance for seniors is  [tex]s ^2_1 = 2.3[/tex]

   The variance for managers  is [tex]s ^2_2 = 11.3[/tex]

   The  first sample size is  [tex]n_1 = 25[/tex]

    The second sample size is  [tex]n_2 = 26[/tex]

    The significance level is  [tex]\alpha = 0.05[/tex]

     

The null hypothesis is  [tex]H_o : \sigma^2_1 = \sigma^2 _2[/tex]

The alternative  hypothesis is  [tex]H_a : \sigma^2_1 \ne \sigma^2 _2[/tex]

Generally the test statistics is mathematically represented as

      [tex]F = \frac{s_1^2}{s_2^2}[/tex]

=>    [tex]F = \frac{2.3}{11.3}[/tex]

=>    [tex]F = \frac{2.3}{11.3}[/tex]

=>    [tex]F = 0.2035[/tex]

Generally the p-value is obtain for the F-distribution table (Reference - Free statistic calculator ) at a degrees of freedom

          [tex]df_1 = 25 - 1[/tex]

          [tex]df_1 = 24[/tex]

and    [tex]df_2 = 26 - 1[/tex]

           [tex]df_2 = 25[/tex]

The p- value is  

        [tex]p-value = f_{0.2035,24,25} = 0.99989[/tex]

So from the calculation we see that

       [tex]p-value > \alpha[/tex]

So we fail to reject the null hypothesis

     

Ten boxes of paper weigh 260 pounds. Mrs. Thomas
ordered 24 boxes of paper for the science department.
How many pounds do 24 boxes of paper weigh?

Answers

Answer:

624 pounds

Step-by-step explanation:

If 10 boxes of paper weigh 260 pounds, one box of paper is equal to 26 pounds because 260 divided by 10 is equal to 26. If one box equals 26 pounds, 24 boxes times 26 pounds each is equal to 624 pounds.

the sum of two fractions is 31/4 if one of them is 17/6 find the other

Answers

17/6 + x = 31/4
31/4 - 17/6 = x
186/24 - 68/24 = 118/24 = 59/12

59/12 is the answer
hope this helps:)

What is the equation of the line that is parallel to Y= -2/3x+4 and that passes through (-2, -2)

Answers

Answer:

y = -2/3x-10/3

Step-by-step explanation:

Y= -2/3x+4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -2/3

Parallel lines have the same slope

y = -2/3 x+b

Substitute the point into the equation

-2 = -2/3 (-2) +b

-2 = 4/3 +b

Subtract 4/3 from each side

-6/3 -4/3 = 4/3 -4/3 +b

-10/3 = b

y = -2/3x-10/3

What is 3.08 x 12.4 ?

Answers

Answer:

=38.192x

Step-by-step explanation:

I hope this helps you

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
A. Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
B. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
C. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
D. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

Answer:

A

Step-by-step explanation:

Slope is positive 2 so we have to move 1 point right and 2 points up.

Secondly y-intercept is -6 so ,point is (0,-6)

Plz answer this i will mark u brianiest

Answers

Answer:

56 is 80% of 70

Step-by-step explanation:

Number line on top, two ticks are 35 & 56.

Number line on bottom, two ticks are 50% & 80%.

So, 56 is 80% of 70

Hope this helps!

Plz give brainliest if possible!

What is the greatest whole number that rounds to 1,900 when rounded to the nearest hundred? The least whole number?

Answers

Answer:

When we round to the nearest hundred, we must look at the tens digit.

If the tens digit is 5 or lager, then we round up (we add 1 to the hundreds digit and after that, all the digits are zero.)

If the tens digit is smaller than 5, then we round down (the hundreds digit remains unchanged and after that, we complete with zeros.)

Then, the rounded number is 1900.

a) The greatest whole number that rounds to 1900 would be a number that is rounded down, then it will be:

1949

b) The least whole number that is rounded to 1900 is a number that we round up, this is:

1850

Largest: 1,949

This number is largest because it is closest to 1,900 without the number in the tens place being greater than 5, and the number in the tens place is bigger than 5

Smallest: 1,850

This number is smallest because any smaller number, like 1,849, would round to 1,800, and the number in the tens place is smaller than 5.

Have a good day!

Evaluate the function f(x) = -212-3x + 5 for the input value-3. ​

Answers

Answer:

f(-3)=-198

Step-by-step explanation:

Function: f(x) = -212-3x + 5

x=-3

First substitute -3 for x:

f(-3)=-212-3(-3)+5

Next multiply -3 by -3:

-3*-3=9

f(-3)=-212+9+5

-212+9=-203

f(-3)=-203+5

-203+5=-198

f(-3)=-198

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!!!!!!!!!!!!!

A monthly service fee to download e-books is $4.95 plus $3.99 per book downloaded write an equation that represents the total cost see in a month when B books are downloaded explain how your equation represents the problem

Answers

Answer:

c=4.95+3.99b

Step-by-step explanation:

When there are no books, the service fee still applies, so when b=0, c=$4.95.

For each book downloaded $3.99 is added to the charge. The service fee is only charged once a month.

c=4.95+3.99b

You purchase 5 DVDs and a CD. The cost of the CD is $9.50. Your total bill (before tax) is
$44.45. Write and solve an equation to find the cost of one DVD. (You may assume all the
DVDs are the same price.) *

Answers

Answer:

$6..99

Step-by-step explanation:

$6.99 each you do 44.45 - 9.50 than divide by 5

A rectangular yard measuring 32ft by 50ft is bordered (and surrounded) by a fence. Inside, a walk that is 3ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.

Answers

Answer:

528 feet squared

Step-by-step explanation:

the yard has a width of 32 feet and a length of 50 feet. -- area of the yard is 1600 ft sq. The walkway is 3 feet wide throughout the fence, meaning you add 6 to 32 and 6 to 50 to get your measurements for the yard + fence area. -- is equal to 2128

Then you subtract the total fence + yard area from the yard area -- 2128 - 1600 which equals 528 feet sq.

Calvin practiced converting standard notation to scientific notation by completing the 10 problems
in the table shown. Unfortunately, his teacher noticed Calvin made mistakes on 7 out of the 10
problems. Find his mistakes and correct them in the second table below.
STANDARD NOTATION
SCIENTIFIC NOTATION
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 10°
5) 0.024
24 x 10
6) 2,800
2.8 x 10
7) 100
1 x 10
8 0.0000099
9.9 x 10
9 C00,000
9 x 10
10) 0.00635
63.3 x 10
I

Answers

Answer/Step-by-step explanation:

The 7 problems Calvin made mistakes in are as follows:

1. 76,450,000

We are moving the decimal point to our left by 7 decimal places. Therefore, the exponent of 10 should be 7 not 8.

The correct scientific notation = [tex] 7.645*10^7 [/tex]

2. 0.000327

We move the decimal point to our right by 4 decimal places. Since we are counting to our right, the exponent of 10 should be -4 not 4.

The correct scientific notation = [tex] 3.27*10^{-4} [/tex]

4. 116,000,000,000

Number of decimal places moved to our left = 11

The exponent of 10 should be 11 not 9.

The correct scientific notation = [tex] 1.16*10^11 [/tex]

5. 0.024

Number of decimal places moved to our right = 2

Since we are moving to our right, exponent of 10 = -2.

Calvin made a mistake here by not placing a decimal point in the first number after the last 0 to our right.

The correct scientific notation = [tex] 2.4*10^{-2} [/tex]

7. 100

There are just 2 zeros.

Therefore, the exponent of 10 = 2 not 3.

correct scientific notation = [tex] 10^2 [/tex]

9. 900,000

Number of decimal places moved to our left = 5

Since we are moving to the left, the exponent of 10 = 5 not -5

The correct scientific notation = [tex] 9*10^5 [/tex]

10. 0.00633

Number of decimal places moved to our right = 3

The exponent of 10 = -3

Calvin made a mistake by wrongly placing the decimal point.

The correct scientific notation = [tex] 6.33*10^{-3} [/tex]

Which algebraic expression represents the phrase “six less than a number”? 6x - x x - 6 6 - x x - 6x

Answers

Answer:

B.   x-6

Step-by-step explanation:

The algebraic expression is x-6. Therefore, option B is the correct answer.

We need to find the algebraic expression for the phrase "six less than a number"

What are Algebraic Expressions?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Now, for the given statement "six less than a number".

Let the unknown number be x.

So, six less than a number is x-6.

Therefore, option B is the correct answer.

To learn more about the algebraic expression visit:

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Please help it is due right now 7^8/7^6 =?

Answers

Answer:

7^2 or 49

hope this helped

-1 2/3 and -1/4 as an inequality

Answers

3/4 is the answer if you cross multiply

Subtract 25.45 from 51.82. Give your answer to 2 decimal places.

Round your answer to one decimal place.

Answers

Answer:

Answer is, 26.4

Step-by-step explanation:

By subtracting 51.82 by 26.37, you're left with a total of 26.37, and by rounding that to the tenths place, you get 26.4

An airport parking lot has. 2800 spaces.if each row has 25 spaces.how many rows are there?

Answers

70,000 .........................

PLS HELPPP ITS NOT THAT HARD

Answers

Answer:

Step-by-step explanation:

1. System A is consistent and independent and unique solution

2. System B: inconsistent and no solutions

3. System C: consistent and dependent and infinite many solutions

What is 1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X0

Answers

Answer: zero

Step-by-step explanation: anything multiplied by zero ALWAYS equals zero.

Answer:

0

Step-by-step explanation:

Anything times zero will equal zero!

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