use the correct trig function to find the value of x. (SAH,CAH,TAH)​

Use The Correct Trig Function To Find The Value Of X. (SAH,CAH,TAH)

Answers

Answer 1

Answer:

x=13.38

Step-by-step explanation:

Hi there!

We are given triangle ABC, with m<A=45°, CA=13, and BA=x

We want to find the value of x

First, let's find out which side is the adjacent, opposite, and hypotenuse

Using <A as the reference angle:

BC is the opposite

CA is the adjacent

BA is the hypotenuse

Recall the 3 most common trigonometric functions:

Sine is [tex]\frac{opposite}{hypotenuse}[/tex]

Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]

Tangent is [tex]\frac{opposite}{adjacent}[/tex]

Since we know the values of both the adjacent and the hypotenuse, let's use the cosine of <A

In reference to <A, the ratio will be:

cos(<A)=[tex]\frac{CA}{BA}[/tex]

Substituting all known values gives:

cos(45)=[tex]\frac{13}{x}[/tex]

Now multiply both sides by x

cos(45)x=13

Divide both sides by cos(45)

x=[tex]\frac{13}{cos(45)}[/tex]

Now plug [tex]\frac{13}{cos(45)}[/tex] into your calculator. Make sure that the calculator is in degree mode

x≈13.38

Hope this helps!


Related Questions

Fill in the blanks so the equation has NO SOLUTION.






4(x -3) + 7 = _____x + _____

Answers

Answer:

4x + 1

Step-by-step explanation:

evaluating the expression on the left

4(x -3) + 7

Distribute

4x - 12 + 7

4x - 5

Therefor if the constant is any number other than -5

there will be NO SOLUTION

Examples of equations with no solution

4(x -3) + 7 = 4x + 1

4(x -3) + 7 = 4x - 3

4(x -3) + 7 = 4x + 4

Lol pls hurry!!
I need this asap

Answers

Answer: 2, D

Step-by-step explanation: f=-2, so 4x-2 would give -8 add 10 would give 2 as it is for the negative

5 numbers have a mean of 4, a range of 6, mode of 2 and a median of 3. What could the numbers be? Is this the only answer?

Answers

Step-by-step explanation:

x1, x2, x3, x4, x5

(x1 + x2 + x3 + x4 + x5)/5 = 4

x5 - x1 = 6

x3 = 3

2 appears more often than any other number (at least twice), otherwise there would have been multiple modes.

x1 + x2 + x3 + x4 + x5 = 4×5 = 20

x3 = 3

x1 + x2 + 3 + x4 + x5 = 20

x1 + x2 + x4 + x5 = 17

x5 = x1 + 6

x1 + x2 + x4 + x1 + 6 = 17

2×x1 + x2 + x4 = 11

since we did not have the number 2 yet (and we made x5 the harvest number, which has to be larger than 2), and it has to appear at least twice.

so, two numbers out of x1, x2, x3 must be 2. not all three of them can be 2, because 2×2 + 2 + 2 = 8 and not 11 as the last equation demands.

we have therefore 2 different solutions, as either

x1 and x2, or x2 and x4 can be 2.

x1 and x4 is the same solution per the last equation as x1 and x2 (as the variables are interchangeable for the number assignment, only x1 is different, because it has an additional factor in the last equation).

solution 1 (x1 and x2 are 2) :

2×2 + 2 + x4 = 11

4 + 2 + x4 = 11

6 + x4 = 11

x4 = 5

so,

x1 = 2,

x2 = 2,

x3 = 3

x4 = 5

x5 = x1 + 6 = 2 + 6 = 8

solution 2 (x2 and x4 are 2) :

2×x1 + 2 + 2 = 11

2×x1 + 4 = 11

2×x1 = 7

x1 = 7/2

so,

x1 = 7/2

x2 = 2

x3 = 3

x4 = 2

x5 = x1 + 6 = 7/2 + 12/2 = 19/2

plzz help me asap plzzzz

Answers

Answer:

1.-13.2

2.6485

Step-by-step explanation:

need some help with these!!

Answers

Answer:

RS = XY

Step-by-step explanation:

Corresponding sides will be equal. So

RS = XY

I’m pretty sure it’s C

Explanation: it’s the only one that makes sense

How do I do this problem?

Answers

Answer:

hey you can use scan and search

Answer:

I got : 0.42264973

Step-by-step explanation:

1/ -√3 + 1

-√3 = -1.73 ( 2 decimal place )

1/ -1.73 + 1

and found the answer

lets simplify
please help step by step​

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

I have less than 100 tennis balls. When i put them in tubesof 8, I have 5 left over.when i put them in tubes of 11 i have 3 leftover. How many tennis balls do i have in totals

Answers

Answer:

69

Step-by-step explanation:

8's     8's+5                 11's     11's+3

8         13                    11          14

16        21                   22         25

24       29                  33          36

32       37                  44          47

40       45                  55          58

48        53                  66         69

56        61                   

64        69

round to the nearest hundred 104,549 help 6th

grade​

Answers

Answer: 104,500

Explanation:
The 5 is the hundreds, so you would look at the number to the right, which is 4. The mid point of 549 would be 550. Anything greater than that number would be rounded to 600, but 449 is less than 550, therefore the number won’t be rounded up, leaving us with 500.

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 240 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 320mg of caffeine daily? ​

Answers

The confidence interval is between (48.2%, 57.7%)

Using the proportion formula expressed as:

[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

Get the proportion:

p = 320/600 = 0.53

[tex]z=\frac{x- \mu}{\sigma}[/tex]

[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]

Substitute into the formula to get the confidence interval to have:

[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]

Hence the confidence interval is between (48.2%, 57.7%)

Learn more on  confidence interval here: https://brainly.com/question/20066592

1/2+y=5 1/4 complete the following addition equations

Answers

Answer:

So first you can find a common denominator to make this equation solvable

in this case 4 is the common denominator

2/4+y=5 1/4

Now subtract to isolate the variable (y)

4 3/4 =y

What is the inequality shown?
o
I
1
1
-9
-8 -7 -6 -5
-4 -3 -2 -1
I
0
| 1
1 2
1 1
3 4
T 1
5 6 7
00
8
9

Answers

Answer:

-4 < n ≤5

Step-by-step explanation:

The lower limit is -4.  It has an open circle, so there is no equal sign

-4 < n

The upper limit is 5.  It is a closed circle so there is an equals sign

-4 < n ≤5

1) Trent made a scale drawing of the elementary school. The schoolyard, which is 85

meters wide in real life, is 102 millimeters wide in the drawing. What scale did Trent use?


6 millimeters:

Answers

The scale Trent used for his elementary school which has a school yard of 85

meters wide in real life and 102 millimetre wide in drawing  is 51 : 42500

Firstly, let's do the conversion of the units

1 meters = 1000 millimetres

85 meters = ?

cross multiply

length in millimetres = 85 × 1000 = 85000 millimetres

Since the schoolyard width is 85000 millimetres in real life but it's 102 millimetres wide in drawing , the scale will be as follows:

= 102 / 85000

= 51 / 42500

Therefore, the scale is as follows:

51 : 42500

learn  more: https://brainly.com/question/25328409?referrer=searchResults

A scale is chosen to plot the large graphs on smaller paper representing each unit by a supposed unit.

1.2 mm is used to represent 1 meter.

In the scale given the 102 mm is drawn to represent 85 meters.

So dividing the graph line with the original length the scale Trent has used can be found.

102/85= 1.2

This shows that 1.2 mm is used to represent 1 meter.

Multiplying 85 with 1.2 gives 102 .

https://brainly.com/question/25798457

A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). If each window is 3 feet by 5 feet, determine the area of the space to be painted.

Answers

Answer:Measure length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length.

Step-by-step explanation:

The required area that is to be painted is given as   150 square feet.

Given that,
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). each window is 3 feet by 5 feet,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Area of the wall = 12 × 15 = 180 square feet
Area of the two windows, = 2 × 3 × 5 = 30 square feet
Area to be painteded = 180 - 30 = 150 square feet,

Thus, the required area that is to be painted is given as   150 square feet.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2


Translate the following word phrase into an algebraic expression: Nine times a number y.

Answers

Answer:

9×y

Step-by-step explanation:

the

answer

of

the

given

is 9y

please help me !

• don’t use this for points, or send any gross links.

• if you actually KNOW the answer, please do comment / help me!

this is: KS3 — YEAR 8 ! ❤️

Answers

TICKET MONEY for age 16 and over,

155-49 =106

1 person pays £18.60

106 = 106 × £18.60

=£1,971.6

TICKET MONEY for under 16

1 person pays £12.80

49 people =49 × £12.80

= £627.2

TOTAL NUMBER OF TICKETS

£ 1,971.6 + £6272.2

= £2,598.8

What temperature is halfway between:

6 and -2

Answers

2 is the correct answer

Answer:

The answer is 2

Step-by-step explanation:

-2, -1, 0, 1, 2, 3, 4, 5, 6

If you remove the first 4 and the last 4 numbers you are left with 2 which is also the median / middle value. Therefore, the temperature is 2.

A car was valued at 380,000 in the year 2014. By 2019, the value had depreciated to 110,000. If the cars value continues to drop by the same percentage,what will it be worth by 2017?
Please help thanks and Godbless

Answers

Answer:

160000

Step-by-step explanation:

pls help with number 12 i will give brainliest

Answers

Answer:

My man Zachary is right!

Step-by-step explanation:

The rule is so very simple!

Whenever a negative, anywhere in the equation multiples to another negative, it is always a positive!

Whenever a positive number multiples to a negative number anywhere in the equation, it is always a negative number!

So Negative*Negative is Positive (-10 x -10 = 100)

And Positive*Negative is always negative (-10 x 10 = -100)

And we both know that Positive times positive is positive. (10 x 10 = 100)

can anyone solve this step by step for me​

Answers

Answer:

0.5 ㏑ | 1-2x | +c

Step-by-step explanation:

Formula:  ∫ 1/ax+b dx = 1/a ln Iax+bI +c

Let represent the number of typographical errors made per page typed by a receptionist during a particular day at the office. The following table lists the probability distribution of .
= 0 1 *** 4 5 ( = ) * ** 0.40 0.13 0.02
Assuming that * = 2 (**) and E(X) = 12.77
(a) Find the values of ‘*’, ‘**’, and ‘***’.
(b) Determine P(1 ≤ < 4).

Answers

Using the principle of expected value and discrete probability distribution, the missing values are :

* = 0.30** = 0.15*** = 30P(1 ≤ Y ≤ 4) = 0.28

The Expected value, E(X) is defined thus :

E(X) = Σ[(X) × (P(X)]

The cummulative sum of the probability is 1 :

(* + ** + 0.40 + 0.13 + 0.02) = 1 - - - (1)* = 2(**)

Hence, we have ;

2** + ** + 0.40 + 0.13 + 0.02 = 1

3** + 0.55 = 1

3** = 1 - 0.55

3** = 0.45

** = 0.45 / 3

** = 0.15

Hence,

* = 2(0.15)

* = 0.30

To find *** :

E(X) = (0 × 0.30) + (1 × 0.15) + (*** × 0.40) + (4 × 0.13) + (5 × 0.02)

12.77 = 0 + 0.15 + 0.40*** + 0.52 + 0.10

12.77 = 0.77 + 0.40***

12.77 - 0.77 = 0.40***

12.00 = 0.40***

*** = 12.00/0.40

*** = 30

B.)

P(1 ≤ Y ≤ 4) = P(y = 1) + P(y = 4)

P(1 ≤ Y ≤ 4) = 0.15 + 0.13 = 0.28

Learn more : https://brainly.com/question/25716562

Help quick 20points please please

Answers

Answer:

AB = 23.6

BC = 18.5

CD = 23.6

DA = 18.5

Step-by-step explanation:

4.

Both sets of opposite sides are parallel, so this is a parallelogram.

In parallelogram ABCD:

AB≅CD

AD≅BC

Knowing that, you can write 2 equations with the given information:

[tex]2a-20.4=a+1.6\\a-3.5=18.5[/tex]

You can solve whichever one you want, but I'll do both to be sure.

[tex]2a-20.4=a+1.6\\2a=a+1.6+20.4\\2a-a=1.6+20.4\\a=22[/tex]

Now for the second one:

[tex]a-3.5=18.5\\a=18.5+3.5\\a=22[/tex]

a = 22, so now you can solve for the side lengths.

[tex]2(22)-20.4=23.6\\22-3.5=18.5\\22+1.6=23.6\\18.5=18.5[/tex]

through: (1, 3) and (-3,-5)

Answers

☆Answer : (X1, Y1) = (1, 3) (X2, Y2) = (-3, -5)

m = (Y2 - Y1)/(X2 - X1)

m = (-5 - 3)/(-3 - 1)

m = -8/-4

m = 2

14 blue cars out of 70 cars​

Answers

Answer:

66 cars

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

14-70=56

Step-by-step explanation:

its subtraction so you just need 70 and take away 14.

reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.

The price of an item has risen to $343 today. Yesterday it was $140. Find the percentage increase.

Answers

Answer:

145% increase

Step-by-step explanation:

343 - 140 = 203

203/140 = 1.45

1.45 x 100 = 145

© Write
[tex] \sqrt{8} [/tex]
power of 2​

Answers

Answer:

Step-by-step explanation:

2×2×2=8

so √8 = 2³

Hope this helps you


if line 1 has a slope of -4 and line 2 has a slope of 1/4, they are parallel
True
O False

Answers

Parallel lines need to have same slope
The lines have different slopes

It is false.

City planners are planning to build a new community pool. They agree that the pool will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the width would remain at 11.6 meters but that the length would increase by 3.7 meters. So, the pool would now cover an area of 205.85 square meters.
Which equation can be used to determine the original length of the pool, l?


205.85=2(l+15.3)

205.85=11.6(l+3.7)

205.85=3.7(l+11.6)

Answers

The equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)

Let l be the original length of the pool.

Since the length of the pool is increased by 3.7 m, the new length L = l + 3.7.

Also, the area of the pool A = 205.85 square meter and it is a rectangle with width, W = 11.6 meters,

So, A = LW

Substituting the values of the variables into the equation, we have

A = LW

205.85 = (l + 3.7)11.6

So, the equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)

Learn more:

https://brainly.com/question/12932084

Answer:

Step-by-step explanation

205.85=11.6(l+3.7)

help me with math and ill mark brainliest​

Answers

Answer for this question is b) m3=96°

Bidula has to buy some cups of tea at the rate of Rs. 10 and 3 packets of biscuits at the rate of Rs. 45 .How many maximum cups of tea can she buy with Rs. 332?​

Answers

Answer:

  19 cups

Step-by-step explanation:

Let c represent the number of cups of tea. The total cost will be ...

  10c +3(45) ≤ 332

  10c ≤ 197 . . . . . . . . . . . subtract 135

  c ≤ 19.7

Bidula can buy up to 19 cups of tea with ₹332.

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