sin θ = 12/37. Find tan θ.

Sin = 12/37. Find Tan .

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

[tex]12^2 + b^2 = 37^2[/tex]

b = 35

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = 12/35

Choice B is the correct answer.

Answer 2

Answer:

Step-by-step explanation:

using sin inverse rule to get  theta

[tex]sin^{-1} (\frac{12}{37} ) =18.9246[/tex]  <---- theta

so tan(18.9246) =12 /35


Related Questions

What is the least common multiple of the two denominators 6/8, 4/32

Answers

Answer:

32

Step-by-step explanation:


Am I correct?
Or not, please

Answers

Answer:

No you are not correct.

Step-by-step explanation:

This answer choice is A.

hope this helps!!

Yes.

The positive numbers are greater than the negative numbers.

A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What is the length of AB? (3) What are the coordinates of the mid point of AB?(4) What is the slope of a line perpendicular to AB ?

Answers

Answer:

1) The slope of the line segment AB is [tex]\frac{4}{3}[/tex].

2) The length of the line segment AB is 10.

3) The coordinates of the midpoint of the line segment AB is [tex]M(x,y) = (5,7)[/tex].

4) The slope of a line perpendicular to line segment AB is [tex]-\frac{3}{4}[/tex].

Step-by-step explanation:

1) Let [tex]A(x,y) = (2,3)[/tex] and [tex]B(x,y) = (8,11)[/tex]. From Analytical Geometry, we get that slope of AB ([tex]m_{AB}[/tex]), dimensionless, is determined by the following formula:

[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (1)

If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the slope of the line segment is:

[tex]m_{AB} = \frac{11-3}{8-2}[/tex]

[tex]m_{AB} = \frac{4}{3}[/tex]

The slope of the line segment AB is [tex]\frac{4}{3}[/tex].

2) The length of the line segment AB ([tex]l_{AB}[/tex]), dimensionless, can be calculated by the Pythagorean Theorem:

[tex]l_{AB} =\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex] (2)

If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the length of the line segment AB is:

[tex]l_{AB} = \sqrt{(8-2)^{2}+(11-3)^{2}}[/tex]

[tex]l_{AB} = 10[/tex]

The length of the line segment AB is 10.

3) The coordinates of the midpoint of the line segment AB are, respectively:

[tex]x_{M} = \frac{x_{A}+x_{B}}{2}[/tex] (3)

[tex]y_{M} = \frac{y_{A}+y_{B}}{2}[/tex] (4)

If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the coordinates of the midpoint of the line segment AB are, respectively:

[tex]x_{M} = \frac{2+8}{2}[/tex]

[tex]x_{M} = 5[/tex]

[tex]y_{M} = \frac{3+11}{2}[/tex]

[tex]y_{M} = 7[/tex]

The coordinates of the midpoint of the line segment AB is [tex]M(x,y) = (5,7)[/tex].

4) From Analytical Geometry we can determine the slope of a line perpendicular to line segment AB as a function of the slope of the line segment:

[tex]m_{\perp} = -\frac{1}{m_{AB}}[/tex] (5)

If we know that [tex]m_{AB} = \frac{4}{3}[/tex], then the slope of a line perpendicular to AB is:

[tex]m_{\perp} = - \frac{1}{\frac{4}{3} }[/tex]

[tex]m_{\perp} = -\frac{3}{4}[/tex]

The slope of a line perpendicular to line segment AB is [tex]-\frac{3}{4}[/tex].

Plz help ASAP this is important

Answers

Answer:

Option 3

Step-by-step explanation:

10x11=110 +3=113

113/11

Answer:

30/11

Step-by-step explanation:

this answer is 30/11

32. Sinead bought 2 shirts for $15.82 each and a pair of shoes for $42.37. If she
paid for the items with a $100 bill, how much change did she receive?
$25.99
$10.17
$74.01
$41.81

Answers

15.82x2=31.64

31.64+42.37=74.01

100-74.01=25.99

Sinead received $25.99 for change.

Answer:

Sinead received $25.99 for change.

Step-by-step explanation:

What is the domain and range?

Answers

Answer:

Domain is your x max and Min, Range is your y max and Min

Step-by-step explanation:

Domain would be -5 to 8 or (-5,8)

range would be -3 to 2 or (-3,2)

Answer:

Domain is every value on the x axis that the line in on. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 is the domain or -5 to 8. The range is every Y value.

Step-by-step explanation:

Basically, Domain is the x values of the whole line and range are the y values for the whole line. Hope I helped <3

If I litres of Paint cost R10,00
how many will 10 litres of paint
cost ?​

Answers

Answer:

10000

hope it helps!

.....

Please Help fast I don’t know

Answers

Choice 3 is the answer

Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit
$125, how many t-shirts did he sell?

Answers

Answer:

He sold 17 shirts at the festival.

The total number of t-shirts Felipe sold is 17 t-shirts.

Consider that the number of t-shirts Felipe sold be "x".

Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.

His total profit is given as $125.

So we can write the following equation:

5x + 40 = 125

Subtracting 40 from both sides;

5x = 85

Dividing both sides by 5, we get:

x = 17

Therefore, Felipe sold 17 t-shirts.

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Which box has a volume of 125 cubic feet?
4 feet
9 feet
5 feet
4 feet
3 feet
4 feet
5 feet
12 feet
2 feet
5 feet
5 feet
5 feet

Answers

Answer: Bottom left

5x5x5=125

The volume having 125 cubic, is a box which has dimensions,  5 feet, 5 feet, 5 feet. So Option D is correct

What is Volume?

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

Given that,

4 boxes having different different dimensions

1. 4 feet, 9 feet, 5 feet

2. 4 feet, 3 feet, 4 feet

3. 5 feet, 12 feet, 2 feet

4. 5 feet, 5 feet, 5 feet

lets calculate the volume for all the four boxes

V = 4 feet  × 9 feet  × 5 feet  = 180  feet³

V = 4 feet × 3 feet × 4 feet  = 48 feet³

V =  5 feet × 12 feet × 2 feet  = 120 feet³

V =  5 feet × 5 feet × 5 feet  = 125  feet³

Hence, the volume of box having dimension 5 feet, 5 feet, 5 feet is 125  feet³

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HELP!!! STATS!!!
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time.

Stats question, I'm really stck please help me!

Answers

Answer:

The 99% confidence interval is   [tex] 165.776  <  \mu <  180.224  [/tex]  

Step-by-step explanation:

From the question we are told that

     The sample size is  n  = 100

     The sample mean is  [tex]\= x = 173 \ days[/tex]

      The population standard deviation is  [tex]\sigma = 28 \ days[/tex]  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

      [tex]E = 2.58  *  \frac{28 }{\sqrt{100} }[/tex]

=>    [tex]E = 7.224 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>     [tex] 173 -7.224  <  \mu < 173 + 7.224  [/tex]    

=>     [tex] 165.776  <  \mu < 180.224  [/tex]  

     

I need your help pls help me I make u big brain\

Answers

4 or d object is moving away at an increasing speed

Terence works as a carpenter and a blacksmith.He earns $30 per hour as a carpenter and $45
per hour as a blacksmith. Last week, Terence
worked a total of 55 hours and earned a total of
$2070. How long did Terence work as a carpenter
last week, and how long did he work as a blacksmith?

Answers

Answer:

he worked 69 hours

Step-by-step explanation:

if u do 2070 divided by 30 u will get 69 and theres your answer

Which represents the equation of the roll line?

Answers

Answer:

A) y=3x-4

Step-by-step explanation:

The answer for your question question is A

5/13 as a decimal rounded to the nearest hundredth

Answers

Answer:

0.40

Step-by-step explanation:

5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40

Answer:

5/13 as a decimal to the nearest hundredth is 0.39 or 0.40.

Step-by-step explanation:

You simply need to divide 5 by 13, and you get 0.384615, but round to the nearest hundredth gets you 0.40

Solve the equation for x. 3x = 15​

Answers

Answer:

x=5

Step-by-step explanation:

15/3=5 or 5x3=15

Answer:

So divide each term by -3 and simplify the answerr x=5

Step-by-step explanation:

Which expression is equivalent to -3(4x-0.50)?
PLEASEEEEEEEEEEEEE HELPPP

Answers

Final Answer: [tex]-12x + 1.5[/tex]

Steps/Reasons/Explanation:

Question: Which expression is equivalent to [tex]-3(4x - 0.50)?[/tex]

Step 1: Expand by distributing terms.

[tex]-3[/tex] × [tex]4x - 3[/tex] × [tex]-0.50[/tex]

Step 2: Simplify [tex]-3[/tex] × [tex]4x[/tex] to [tex]-12x[/tex].

[tex]-12x - 3[/tex] × [tex]-0.50[/tex]

Step 3: Simplify [tex]3[/tex] × [tex]-0.50[/tex] to [tex]-1.5[/tex].

[tex]-12x - (-1.5)[/tex]

Step 4: Remove parentheses and add.

[tex]-12x + 1.5[/tex]

~I hope I helped you :)~

Stephanie thinks of a positive number.
She squares the number and adds 7
The result is 43
What number did Stephanie think of?

Answers

Answer:

Step-by-step explanation:

If the number is 6 then square of 6 is 36 then adding 7 = 36 + 8 = 43

So the number is 6

Answer:

6

Step-by-step explanation:

Do the question backwards

43 - 7 = 36

[tex]\sqrt{36}[/tex] = 6

Stephanies number was 6

Steven needs to unload a truck containing boxes filled with video consoles. He wants to determine the time required to unload the truck. Which quantity will help Steven to determine the time required?

Answers

Answer:

the last one

Step-by-step explanation:

Can you guys help me find the answer, I’m in 6th grade?

Answers

i gotchu...so there’s 16 oz in a pound which means if Sally wants to make a cake that is three pounds it would need to be 48 ounces. 48 ounces x 2.50 for ever ounce is 120 so it would be $120 :) that should be right

Use the commutative property of multiplication to rewrite 10.5.12. Which expression is equivalent? O A. 10.5.(5+5) OB. 10. 12.5 O C. (10.5) + 12 OD. 10 + 5 + 12​

Answers

Answer:

b

Step-by-step explanation:

i did the math for over an hour and got the same answer 25 times

A farmer conducted a hypothesis test to see if a new type of soybean would grow better on their land. The alternative hypothesis is the new seed will on average grow more than the old soybean type. The farmer runs a controlled experiment and finds a p-value of .345. The farmer comes to the conclusion that there is no evidence that the new soybean will lead to a larger harvest. What error(s) is it possible to commit

Answers

Answer:

Type 2 Error

Step-by-step explanation:

Null Hypothesis [H0] : New soybean has no impact on harvest

Alternate Hypothesis [H1] : New soybean leads to larger harvest

The farmer accepts the null hypothesis & concludes, that there is no impact of new soybean on harvest.

He could have committed Type 2 Error, which refers to accepting a null hypothesis when it is actually false.

(-25w^5+30w^2)/(-5w) =

Answers

Answer:

(-25w^5+30w^2)/(-5w) Simplified:

5w^4 - 6w

Question 1
Mathematical Relationships
Part A
In general, what can you say about the relationship between health (life
expectancy at birth) and wealth? Mention possible reasons for this
relationship

Answers

someone with wealth without health is nobody

Step-by-step explanation:

when someone that is wealthy didn't give birth d Husband would say they should adopt a child or he should marry another wife

select the pair of perpendicular segments from the figure below ​

Answers

Hskzozh8 i nekaoxhh akns skaldic

Garrett paid $20 for five movie tickets. Find the cost per ticket.
Write the unit rate rounded to the nearest hundredth

Answers

Answer:

4 is the unit rate

Step-by-step explanation:

Which graph represents the function h(x) = |x| + 0.5? ​

Answers

Answer:
On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).
Step-by-step explanation:
h(x) = |x| + 0.5
Has its vertex at h(x) = 0, h(x) = |x| + 0.5
0 = |x| + 0.5
|x| = -0.5
So x = -0.5
So, the vertex is at (-0.5, 0)

Answer:

B

Step-by-step explanation:

PLEASE HELP! WILL GIVE BRAINLIEST AND EXTRA POINTS

Answers

Answer:

1,3,4

Step-by-step explanation:

When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 10.

Answers

Answer:

1/7

Step-by-step explanation:

16 is what percent of 20?

Answers

Answer:

3.2

Step-by-step explanation:

16/20 = 0.8
0.8 * 100 = 80
Solution: 80%
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