Suppose that a is an angle with sin A = 3/7 and a is not in the second quadrant. Compute the exact value of 10 a. You do not have to rationalize the denominator. Please answer it

Answers

Answer 1

Answer:

The exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].

Step-by-step explanation:

Sine function is a bounded function between -1 and 1 and positive in the first and second quadrants. From statement we deduct that [tex]a[/tex] is in the first quadrant, that is, [tex]0^{\circ}< A < 90^{\circ}[/tex]. Then, we determine the angle by inverse trigonometric function:

[tex]A = \sin^{-1} \frac{3}{7}[/tex]

[tex]A \approx 25.377^{\circ}[/tex]

Then, the exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].


Related Questions

T
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1.2073 PUQ.No. 14 बाबु र छोराको अहिलेको उमेरको योगफल
60 वर्ष छ। यदि दुबै जना जीवित रहेको समयमा अहिलेको
बाबुको उमेर बराबर छोराको उमेर हुँदा दुबै जनाको उमेरको
योगफल 120 वर्ष हुन्छ भने तिनीहरूको अहिलेको उमेर पत्ता
लगाउनुहोस् । (The sum of the present ages of a father
and his son is 60 years. If they both live until the son
becomes as old as the father is now, the sum of their
ages will be 120 years, then find their present ages.)

Answers

Answer:

Present age

Son: 15

Father: 45

Step-by-step explanation:

Remark

Thank you for the translation. Without it, the problem would be impossible -- at least for me.

Givens

Let the present age of the father = x

Let the present age of the son = y

Solution

x + y = 60

How many years will pass? You could say it's z.

x + z = y                          When z years pass, the son will be his father's present age.

x + z + y + z = 120          when z is added to both their current ages, the result is 120                   Collect like terms

       

x + y + 2z = 120            

x + y         = 60              Subtract The very first equation

2z = 60                          Divide by 2

z = 60/2                         30 years have passed.

z = 30

x + z = y

x + 30 = y                       Substitute x + 30 for the present y value (the father).

x + x + 30 = 60

2x = 30

x = 15

x + y = 60

15 + y = 60

y = 60 - 15

y = 45

So the son's age right now is 15

The father's age right now is 45

15 is 9 more than j I need an equation

Answers

Answer: j = 6

Step-by-step explanation:

the answer is six because the question says 15 is 9 more which is simple subtraction so u do 15-9=6.

Answer:

you have 15 cats but your neighbor had 9 more than you but your mom has J cats. How many cats do you all have together

Step-by-step explanation:

Solve for x:
7x - 3x + 11 = 27

Answers

7x-3x=27-11
4x=16
16/4=x
x=4

Answer:

-10

Step-by-step explanation:

The function g(x) is defined as shown
What is the value of g(0)?
0-2
-1
3x-2, 45X-2
3
g(x) = -X-1, -25x< 1
6. 15x<3
6
Oo

Answers

Answer:

-1

Step-by-step explanation:

[tex] - 2 \leqslant 0 < 1[/tex]

g(x)=0-1=-1

The value of the function g(0) is -1.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given function g(x) = 3x-2,  -4≤x<-2

g(x) = -x-1,  -2≤x<1

g(x)=6, 1≤x≤3

We need to find value of g(0).

Let us check at which interval the value zero lies.

The zero lies in the interval  -2≤x<1.

So we have to use the function g(x)=-x-1

Now put x as zero

g(0)=-0-1

=-1

Hence, the value of the function g(0) is -1.

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In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed

Answers

Answer:

Normal distribution

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Sample of 31 kids, of a normally distributed variable. So, by the Central Limit Theorem, the most appropriated distribution to use is the normal distribution.

jtftfjjvvjvghchvjufvyffytrcf
please help quick

Answers

Answer:

The one on the top right

Step-by-step explanation:

It displays 8 steps each with a length of 1/2 to represent 8 x 1/2.

HTH :)

Here is a rectangle
7 cm
3 cm
Nor drawn
accurately
A square has the same perimeter as the rectangle.
What is the side length of this square?​

Answers

Answer:

a square and rectangle have the same perimeter. the length of the rectangle is 4 cm less than twice the side of the square, and the width of the rectangle is 6 cm less than the side of the square.

Step-by-step explanation:

jayfeather friend me

The required side length of the square is 5 cm.

What is rectangle?

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

Length of rectangle = 7 cm,

Width of rectangle = 3 cm.

The perimeter of rectangle = 2(length + width)

                                             = 2(7 + 3)

                                             = 2 x 10

                                             = 20

Also, given that the perimeter of the rectangle is equal to the perimeter of a square,

Let side of square is a then perimeter = 4a

⇒ 4a = 20

⇒ a = 5

The side length of the square is 5 cm.

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simplify each expression
3x + 4x + 5x

Answers

12x

explanation: it just us

Answer:

12x

Step-by-step explanation:

3x + 4x + 5x

7x + 5x

12x

PLEASE HELP ASAP!!!!! i will give brainliest

Answers

Answer:

Step-by-step explanation:

you are pretty much just factoring throughout.you can also plug in numbersor use the quadratic equation

I'll be using the quadratic equation

Mr. Saslow needs to buy a drink, chips and a sandwich for lunch. He has $15 to spend on his lunch. If
the total cost of the drinks and chips was 4 dollars, which inequality represents the dollar amount, d,
he can spend on a sandwich?
a. d < 11
b. d > 11
C. d < 19
d. d > 19

Answers

Answer:

a. d < 11

Step-by-step explanation:

4 + d < 15

d < 15 - 4

d < 11

Two six-sided dice are rolled. Find the probability that the first die is not a 5, and that the second die is not a 2

Answers

Answer:

P(not 5, not 2) = 5/6 x 5/6 = 25/36

Step-by-step explanation:

Answer:

The correct answer is 5/6 bc

Step-by-step explanation:

The correct answer was 5/6

Let E be the event "the first die is a 5" and F be the event "the second die is a 2." E and F are independent events. Hence so are the complements of E and F. This means that the probability of the complement of E given the complement of F is just the probability of the complement of E, which is 1 - 1/6 = 5/6.

53% of players have answered correctly.

Simplify
6sqrt20 + 8sqrt5 - 5sqrt45

Answers

Answer:

20√5 - 10√10

Step-by-step explanation:

6√20 + 8√5 - 5√45

first, 6√20 and 5√45 need to be simplified. 8√5 cannot be simplified any further:

6√20 = 6√4•5 = 6√2•2•5 = 6•2√5 = 12√5

5√45 = 5√8•5 = 5√2•2•2•5 = 5•2√2•5 = 10√10

now:

12√5 + 8√5 - 10√10

then, add the coefficients of 12√5 and 8√5

20√5 - 10√10

the left over numbers cannot be combined because they do not have a common radical, making 20√5 - 10√10 the final answer

Given that the function g is defined by the rule g(x)=3-2x,determine the following

g(a)=

Answers

Answer:

The value of g(a) is:

g(a) = 3 - 2a

Step-by-step explanation:

Given

As the function g(x) is given by

[tex]g(x)=3-2x[/tex]

To determine

g(a) = ?

In order to determine g(a),

substitute x = a in the function g(x) = 3 - 2x

g(x) = 3 - 2x

g(a) = 3 - 2(a)

g(a) = 3 - 2a

Therefore, the value of g(a) is:

g(a) = 3 - 2a

What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive

Answers

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

6y+8x-3x
I need help this is for homework

Answers

Answer:

6y + 5x

Step-by-step explanation:

6y + 8x - 3x

Combine like terms (put all the "x"'s with the"x"'s and "y"'s with the "y"'s together)

8x - 3x = 5x

6y + 5x

And you cannot simplify it anymore, since they are not like terms

Hope this helped!

Have a supercalifragilisticexpialidocious day!

5x6y just simplify it

Which graph represents the solution set of this inequality?
119 +5 < 49
Choose 1 answer:

Answers

Answer:

to graph an inequality you need a variable. your question does not have a variable. please rewrite the question.

Hank cut his pizzainto 10 pieces and ate 6 of the pieces.Rose cut her pizza into 5 pieces and ate the same amount as hankShow this on a drawing​

Answers

Answer:

well you would have to draw two pizzas or circles

Step-by-step explanation:

what you would to is draw lines to separate one of them into 10 peices and the other one into 5. You can shade in the 6 peices Hank ate and then shade the same amount of pizza on Roses. Hope this helped!

Solve the system of linear equations by ellmination. 5x + 9y = -11 3x + 9y = -3 A. (-4,-1) -B. (-1, –4) C. (-4,1) D. (1,-4)​

Answers

Answer:

Step-by-step explanation:

5x + 9y = -11

3x + 9y  = -3

5x + 9y = -11

-3x - 9y = 3

2x = -8

x = -4

-12 + 9y = -3

9y = 9

y = 1

(-4, 1)

Answer is C

What is the total cost for x months?

Answers

is there a picture i can see so i can answer the question?

(3x^2-8+3X)-(10+2x^2-2X)

Answers

Answer: x^2+5x-18

Step-by-step explanation:

Answer the question and explain your answer. I will be marking brainiest! If you have the correct answer and explain why it’s correct, I will probably pick YOU as brainiest! :)

Answers

Answer:

A = 200.96 sq ft

Step-by-step explanation:

formula for area of a circle:  A = π·r²

A = (3.14)·(8²)

A = 64·(3.14)

A = 200.96

jenna works for the city transportation department. she made a table to show the number of people that can be transported on a different number of buses. complete the equation to show the relationship between the number of buses, x, and the number of people that can be transported, y.​

Answers

Answer: y=52x

at this rate, how many people will be transported on 30 buses? answer: 1560 you have to multiply 52x30=1560

Step-by-step explanation:

i’m doin this i-ready and got it right

Will give brainliest

Gor is running a bakery he has made a street sign to direct people to his bakery
A 645
B 300
C 585
D 390

Answers

I apologize if i’m wrong but i’m pretty sure it’s B. 300 square inches

Answer:

C pls can i get brainlist

Step-by-step explanation:

1/8 + 5/8?
7/10 - 3/10
4/12 + 5/12
15/20 - 6/20
15/20 - 6/20


put explation pleaseee

Answers

Answer:

6/8

4/10

9/12

9/20

9/20

Step-by-step explanation:

1 + 100000 + 100000 + 100000 =

Answers

SKDJDJBDNDBD Its 300001 lol

Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points) Part B: What are the initial value and slope of the graph and what do they represent?

Answers

Answer:

ac

Step-by-step explanation:

Which two angles are adjacent?

∠AHD and ∠AHB

∠DHB and ∠BHF

∠AHD and ∠BHF

I don't know.
Imported Asset

Answers

Answer:

I think it is ∠DHB and ∠BHF

Step-by-step explanation:

Because they share a common side

What is the value of 0X4 ?
WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

is they fhour the repondet

Answer:

B. 0! x 4 = 4

Step-by-step explanation:

0! is equal to 1 so

1 times 4 is 4

So the answer is

What is the multiplicative inverse of the number 5?

Answers

Answer:

1/5

Step-by-step explanation:

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.


A tree diagram. Random student studies for test is 0.6, and does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.


The professor informs the class that there will be a test next week. What is the probability that a randomly selected student passes the test with a B or higher?


0.33

0.41

0.55

0.75

Answers

Answer:

i think it is 0.33 probably wrong

Step-by-step explanation:

i  am proably wrong

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