find the value of each variable using sine and cosine round your answers to the nearest tenth​

Find The Value Of Each Variable Using Sine And Cosine Round Your Answers To The Nearest Tenth

Answers

Answer 1
a=14.94
to the nearest 10=10
B=11
to the nearest 10=10
Sorry if it’s wrong
Answer 2

9514 1404 393

Answer:

  a = 14.9

  b = 11.1

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relevant relationships.

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

In this triangle, that means ...

  sin(48°) = b/a

  cos(48°) = 10/a

Using the cosine relation, we can find 'a':

  a = 10/cos(48°) ≈ 14.9

Then using the sine relation, we have ...

  b = a·sin(48°) ≈ 11.1

_____

Additional comment

When computing 'b', the full precision value of 'a' should be used.


Related Questions

Jessica is making 2 loaves of bread she needs 3/4 cup of sugar for each loaf her measuring cup only holds 1/4 cup how many times will the cup need to be filled

Answers

Answer:

The cup will be filled 6 times.

Step-by-step explanation:

If her measuring cup only holds 1/4 cups then we need to find how many 1/4 cups are in 3/4 cups:

(1/4) + (1/4) + (1/4) = 3/4

3/4 = 3/4

The measuring cup will have to be filled 3 times for 1 loaf.

If she has 2 loaves that means that she has to fill her 1/4 measuring cup 6 times (because 2 * 3 = 6)

Hope this helps!!

- Kay :)

random khan question and I haven't done this in a year, I'm struggling.

Answers

Answer:

Add maybe

Step-by-step explanation:

add the 500+400+200 try that hope it helps have a great day

2 1/4x + (4 1/3x − 7 4/5 ) ÷ 2 3/5

Answers

Answer:

1/4*(9x+130x-234/35

Step-by-step explanation:

get photomath

) تعتبر الدالتين و المعرفتين على R
تمثيليهما البيانيين (C) و(C) على التوالي.
(أنظر الشكل المقابل)
(C)
بقراءة بيانية:
عين (0) ، (1)، (3) ، (0)g
g(3) ،g (1)
* عين السواق الممكنة للعدد 2- بالدالة
و للعدد 4- بالدالة g
شکل جدول تغيرات الدالة g
1
: شكل جدول إشارة الدالة .
(C)
حدد القيمين الحدين العظمى والصغرى
الدالة g على المجال [3 ;1-.
حل المعادلة و المتراجحة التالين:
f(x) = g(a)
f(x) > g(s) +​

Answers

Answer:

Can you transalate

Step-by-step explanation:

what is the value of x in 2x = 64​

Answers

Answer:

2×=64

2×/2=64/2

×=32.....x is solved

Answer:

x=32

Step-by-step explanation:

when divided by 2, 64 is equal to 32

Y= 2/3x + 2. Y= 3/5x + 3. Graph equations

Answers

One square = 1 unit

Answers are on paper.
I put them on separate graph



1.)20 is twice as much as 10 (True or False

2.)10 is twice as much as 20 (True or False)

3.)30 is double 15 (True Or False)

4.) 15 is double 30
(True or False)

Answers

1. true
2. false
3. true
4. false

The options that are true are (1), (3) and false ones are (2), (4).

What are arithmetic operations?

The basis of all mathematical operations are the arithmetic operations. These operations include addition, subtraction, multiplication, and division.

The given options can be examined one by one as follows,

(1) The given number 20 may be expressed as a mathematical operation as follows:

20 = 10 × 2

Which implies it is two times that of 10.

Thus, it is true.

(2) The given number 10 may be expressed as a mathematical operation as follows:

10 = 20 ÷ 2

Which implies it is half of 20.

Thus, it is false.

(3) The given number 30 may be expressed as a mathematical operation as follows:

30 = 15 × 2

Which implies it is two times that of 15.

Thus, it is true.

(4) The given number 15 may be expressed as a mathematical operation as follows:

15 = 30 ÷ 2

Which implies it is half of 30.

Thus, it is false.

Hence, the true and false options are (1), (3) and (2), (4) respectively.

To know more about arithmetic operation click on,

https://brainly.com/question/25834626

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2 points
4. In 2016, a school started its own aquarium with x fish. In 2019, there
were x^2 fish in the same aquarium. There were 144 fish in 2019. How
many fish were there in 2016? Show your work *

Answers

Answer:

171 fish

Step-by-step explanation:

512/3=170.667 (keeps going on but I just rounded it to add 1 to the total of 170) so that is why 171 is the answer.

Is (3, 7) a solution to the equation y = 2x – 4? yes or no Submit​

Answers

Answer:

(3, 7) is not a solution.

Step-by-step explanation:

In this question, we have to find out if the point (3, 7) is a solution to the equation.

To find your answer, you would plug in the coordinate into the equation and solve.

Solve:

y = 2x - 4

Plug in coordinate.

7 = 2(3) - 4

7 = 6 - 4

7 ≠ 2

Since both sides are not equal to each other, this makes the statement false. Therefore, (3, 7) is not a solution.

Your answer would be (3, 7) is not a solution.

What’s the side length of x2+4x+4

Answers

Answer:

(x+2)^2

Step-by-step explanation:

A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)

Answers

Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042

This outcome would warrant a replacement cup.

Step-by-step explanation:

Let x be a random variable that represents the temperature of hot chocolates.

GIven: Mean temperature = 175 degrees

standard deviation = 8.1 degrees

The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]

[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]

Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)

i.e. this outcome would warrant a replacement cup.

(-12,16) and (-4,-2)find the slope

Answers

Answer:

It's -9/4 or -2 1/4. please mark me brainliest <3

Step-by-step explanation:

1) label x1, y1, x2, and y2.

x1     y1       x2 y2

(-12, 16)     (-4,-2)

2) Remember the formula is y2-y1

                                               --------

                                                x2-x1

3) substitute

-2-16

--------

-4-(-12)

4) two minuses (negatives) is a positive (+)

so,

-2-16             -18

---------=       --------

-4+12               8

5) simplify

-18 divided by 2          -9

-----                          =   -------    or -2 1/4

  8 divided by 2             4

Answer:

-1.75

Step-by-step explanation:


Donna guessed there were 400 jellybeans in a jar. There were really 480 jellybeans. What is her prevent of error

Answers

Answer:

Step-by-step explanation:

Donna guessed 400 but there were 480 so she was off by 80

In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 girls, in the second section there are 15 boys and 5 girls, and in the third section, there are 12 boys and 8 girls. Five students are selected at random from each group to form committee of 15 students. What is the probability that all the 15 students selected are girls?​

Answers

Answer:

[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

All girls from the first group:

20 students, so [tex]N = 20[/tex]

10 girls, so [tex]k = 10[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163[/tex]

All girls from the second group:

20 students, so [tex]N = 20[/tex]

5 girls, so [tex]k = 5[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006[/tex]

All girls from the third group:

20 students, so [tex]N = 20[/tex]

8 girls, so [tex]k = 8[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036[/tex]

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

[tex]P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}[/tex]

[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls

Need help on this please

Answers

95 degrees maybe not sure tho

The length of time, in hours, it takes a train to travel to city B varies inversely with the train’s speed. The train Carole is traveling on is moving at a speed of 70 miles per hour, and it takes her 4 hours to arrive. If the train Steve is traveling on is moving at a speed of 50 mph, how long will it take him to arrive at City B?

Answers

Answer:

Step-by-step explanation:

4 h × (70 mi)/h = 280 mi

280 mi × (1 h)/(50 mi) = 5.6 h

The time taken by him to arrive at City B will be 5.6 hours.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The time span, in hours, it takes a train to go to city B fluctuates contrarily with the train's speed.

V x T = Constant

The train Carole is going on is moving at a speed of 70 miles each hour, and it requires her 4 hours to show up. In the event that the train, Steve is going on, is moving at a speed of 50 mph.

Let 't' be the time. Then the equation is given as,

t x 50 = 4 x 70

50t = 280

t = 280 / 50

t = 28 / 5

t = 5.6 hours

The time taken by him to arrive at City B will be 5.6 hours.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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Evaluate 11.5s + 10.7t when s = 7 and t = 8 .

Answers

Answer:

166.1

Step-by-step explanation:

It would become 11.5 * 7 + 10.7 * 8 = 80.5 + 85.6 = 166.1

A train travels at an average speed of 35m/s. workout the time it takes to travel 225km?

Answers

Answer:

Step-by-step explanation:

d = rt

225km = 225,000m

225,000 = 35*t

t = 6,428.57 seconds

or 107.14 minutes

or 1 hour and 47 minutes

What is the range of the following set of data?
4, 8, 3, 5,5,7,6,4

Answers

Step-by-step explanation:

4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8

42 divided 8

5,25

cmiiw!

To find range subtract the smallest # by the largest number. So 8 - 3 = 5
5 is the range for this set.

puzzle times what kind of cheese comes with a house

Answers

Answer:

WHAT DOES TGAT EVEN MEAN

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x3 - 7x2 + 6x - 14
Explain

Answers

Answer:

Step-by-step explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]

[tex]\bold{Step-by-step\downarrow}[/tex]

[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]

[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]

[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]

[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]

[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark[/tex] [tex]\underline\bold{(Option\ C.)}[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.

Answers

The percentage increase is 160%

Multiply.
(3x + 1)(x + 7)

Answers

Answer:

the answer is 3x^2 + 22x + 7

Step-by-step explanation:

Expand the polynomial using the FOIL method.

hoped this helped!

brainly, please?

Answer:

3x^2+22x+7

Step-by-step explanation:

Set up a proportion and use it to solve for x.
14
х
6
9

Answers

Answer:

x=21

Step-by-step explanation:

x/x+14=9/15

15x=9x+126

6x=126

x=21

ABCD is a cyclic quadrilateral in which AB parallel to CD if angle D is equals to 70 degree find all the remaining angles ​

Answers

Answer:

angle a is 110

angle B is 110

angle C is 70

The bigger

the number the more

factor pairs it has.

Use examples to show that Dexter is wrong.

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Prove that Dexter is wrong

To prove that Dexter is wrong, we use the following numbers.

[tex]Number = 4[/tex]

The factors are:

[tex]Factor = 1,2\ and\ 4[/tex]

3 factors

Using a greater number:

[tex]Number = 5[/tex]

The factors are:

[tex]Factor = 1\ and\ 5[/tex]

2 factors

From the above analysis:

4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors

This shows that Dexter is wrong

please help asap!!!
What is the decimal value of 4/11? Show long division.
How do you know that 4/11 is a repeating decimal?

Answers

Answer:

0.3636363636363636

Step-by-step explanation:

Its a repeating decimal because 4 cannot  be divided by 11

There ya' go :]

8 (3x-6) = 6(4x + 8)

Answers

Answer:

There is no solution to make it true.

Step-by-step explanation:

First you expand
24x - 48 = 24x + 48
Then you cancel 24x on both sides
-48 = 48
Since -48 = 48 is false , there is no solution

Mark practice the piano for 2/3 for an hour for 6 hours every week. How many hours does he practice each week​

Answers

Answer:

9

Step-by-step explanation:

6 divided by 2/3 = 6 x 3/2 = 18/2 = 9

hope this helped!

Answer:

2/2

Step-by-step explanation:

12) Find the zeros of the function:
f(x) = x2 + 5x – 36
IS

Answers

Answer:

x² +5x - 36

= x² - 4x + 9x - 36

= x(x - 4) +9(x - 4)

= (x - 4) (x+9)

so x = 4, - 9

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