Find the value of the trig function indicated.

Find The Value Of The Trig Function Indicated.

Answers

Answer 1

Answer:

[tex]\displaystyle cos\theta = \frac{2\sqrt{13}}{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

[Right Triangles Only] SOHCAHTOA

[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 8

b = 12

c

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]:                                          8² + 12² = c²Evaluate exponents:                                                                                       64 + 144 = c²Add:                                                                                                                 208 = c²[Equality Property] Square root both sides:                                                  √208 = cRewrite:                                                                                                           c = √208Simplify:                                                                                                           c = 4√13

Step 3: Define Pt. 2

Identify variables

Angle θ

Adjacent leg = 8

Hypotenuse = 4√13

Step 4: Find

Substitute in variables [Cosine]:                                                                   [tex]\displaystyle cos\theta = \frac{8}{4\sqrt{13}}[/tex]Rationalize:                                                                                                     [tex]\displaystyle cos\theta = \frac{2\sqrt{13}}{13}[/tex]
Answer 2

Answer:

Solution given;

In right angled triangle with respect to θ

perpendicular: opposite side: [P]=12

base:adjacent:[b]=8

hypotenuse [h]=?

cosθ=?

According to the Pythagoras law

h²=p²+b²

h²=12²+8²

h=[tex] \sqrt{208}[/tex]

h=[tex] 4\sqrt{13}[/tex]

Now

we have

Cos θ=[tex]\frac{adjacent}{hypotenuse}[/tex]

Cos θ=[tex]\frac{8}{4\sqrt{13}}[/tex]

by rationalising it

Cos θ= [tex] \frac{2\sqrt{13}}{\sqrt{13}×\sqrt{13}}[/tex]

Cos θ= [tex] \frac{2\sqrt{13}}{13}[/tex]

is a required answer.


Related Questions

What is the sum of the interior
angles of the polygon shown below?

Answers

900 let me know if it works!

Find the distance x rounded to
the nearest tenth.

Answers

Answer:

[tex]x=0.1 ~ft[/tex]

Step-by-step explanation:

[tex]cot30=\frac{B}{H} =\frac{B}{H}[/tex]

[tex]\frac{\sqrt{3} }{2} =\frac{B}{H}=H=\frac{16}{\sqrt{3} }[/tex]

[tex]sin70=\frac{X}{H} =\frac{P}{H}[/tex]

[tex]sin70=\frac{x}{\frac{16}{\sqrt{3} } }[/tex]

[tex]x=\frac{\sqrt{3} }{16 ~sin70}[/tex]

[tex]=0.1152[/tex]

[tex]x=0.1[/tex]

----------------------

hope it helps

have a great day!!

Answer: 9.7

Step-by-step explanation: I got this question right

70+30 = 100

B = 180 - 100 - 20

B = 60°

80+20 = 100

C = 180 - 100 - 30

C = 50

DB/sin100 = 8/sin(60)

8*sin(100)/sin(60)

DB = 9.0973

DC/sin(30) = 8/sin(50)

8*sin(30)/sin(50)

DC = 5.22163

x = [tex]\sqrt{5.22163^{2} +9.0973^{2} -2*5.22163*9.0973*cos(80)[/tex]

x = 9.7

A company determined it could use equation y = -25/3x + 250,000 to predict its total number of customers, y, based on the number of days x. What is the meaning of the slop of this function

Answers

Answer:

The slope is meant to show the relationship between the x(number of days) variable and the y (total number of customers) variable.

When the number is positive, it means that both x and y move in the same direction which means that as x increases, so does y.

When this number is negative, it means that hen x increases, y decreases.

In this scenario therefore, as the number of days increases, the total number of customers decreases.

Un cuerpo de 180 kg se debe lanzar hacia una distancia de 25 m. ¿Qué valor tiene el trabajo que se realiza al lanzarlo?

Answers

Answer:

45, 000 J o 45 KJ

Step-by-step explanation:

Recordemos que trabajo realizado = fuerza * distancia

En este caso, fuerza = peso del objeto

Por lo tanto, peso del objeto = 180 Kg * 10ms ^ 2 = 1800 N

Por eso;

Trabajo realizado = 1800 N * 25 m = 45, 000 J o 45 KJ

A right triangle is shown below. What is the length of the side X, to the nearest tenth of a centimeter? ​

Answers

9×9+6×6

81+36

√117

10.816

nearest tenth=10.8cm

please. i am hanging on by a thread.

Answers

Answer:

x=6

Step-by-step explanation:

9(10)=15(×)

90=15×

90÷15=6

A number is chosen at random from 6 to 25. Find the probability of selecting an even number or multiple of 3.

Answers

Answer:

17/25

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

even numbers between 6 and 25 = 6 8 10 12 14 16 18 20 22 24

multiples of 3 = 6 9 12 15 18 21 24

Which of these numbers is composite? Choose 1 answer: Choose 1 answer: (Choice A) A 3 (Choice B) B 23 (Choice C) C 29 (Choice D) D 41 (Choice E) E 87

Answers

Answer:

e) 87

Step-by-step explanation:

Required

Select the composite number

A composite number is such that: they have more than 2 factors

Factorizing each of the given numbers, we have:

[tex](a)\ 3 = 1 * 3[/tex]

[tex](b)\ 23 = 1 * 23[/tex]

[tex](c)\ 29 = 1 * 29[/tex]

[tex](d)\ 41 = 1 * 41\\[/tex]

[tex](e)\ 87 = 1 * 3 * 29[/tex]

Only (e) has more than 2 factors. Hence (e) is composite

help me with C please

Answers

Answer:

your answer is going to be b Find the product of A and B

Step-by-step explanation:

Hmmm the answer will be in total 45-80 witch equals your mom

Which algebraic expression below represents four multiplied by a number?
A. 4 – x
B. x + 4
C. 4x
D.

Answers

Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

How does the product of two fractions less
than 1 compare with the two fractions
being multiplied? Is the product greater
than, less than, or equal to each fraction?
How do you know?

Answers

Answer:

Less than

Step-by-step explanation:

EX:

1/2 * 1/2 = 1/4

1*1 = 1

2*2 = 4

when you multiply two fractions, you get a fraction of a fraction.

A 170 ft string attached to a kite makes a 40⁰ angle with the ground. What is the height of the kite to the nearest tenth? 130.2 ft 33 ft 142.6 ft 109.3 ft

Answers

Answer:

109.3 ft

Step-by-step explanation:

Remembering SOHCAHTOA

We would be using sin

sin = opposite / hypotenuse

sin 40 = x / 170

0.6428 = x/170

x =  0.6428  x 170 = 109.3 ft

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Distributiv property of 4x(5+5)

Answers

Answer:

40

Step-by-step explanation:

first you would solve this in the order of operations

parenthesis first so, (5 + 5) is equal to ten

after the parenthesis you multiply so, 4 × 10 = 40

40 is your answer

Answer:

Expanding the bracket using the distributive Property

We have

4(5) + 4(5)

=20 + 20

=40

pls help asappp ill put u as brainlist! TYTY

Answers

Area = 1/2 x 8 x 6
= 24cm2

The lengths of the 2 diagonal of a rhombus are 24cm and 32cm what is the length of one side of the rhombus. ​

Answers

Answer:

[tex]height = \frac{24}{2} = 12 \: cm \\ adjacent = \frac{32}{2} = 16 \: cm[/tex]

We get a triangle of height 12 cm and adjacent 16 cm

[tex]side = \sqrt{ {12}^{2} + {16}^{2} } \\ = \sqrt{400} \\ = 20 \: cm[/tex]

Answer:

side=√(24/2)²+(32/2)²

=√12²+16²

=√400

= 20

What is the simplified form of the rational expression below?
3^2 - 48/
2^2 + 8x

Answers

8x-3 should be the answer

The vertices of rectangle ‘ABCD’ are A(3, 1), B(-5, 1),
C(-5, -3), and D. What are the coordinates of D?
- (3,-3)
-(-3,3)
-(3,3)
-(-3,-3)

Answers

Answer:

C (3;-3)

Step-by-step explanation:

when you put the points on the orthonormal, try to write the parallel of BD, passing through A. then the parallel of AB passing through D. you will detect that it's a rectangle that have 4 angles. which is correct

I hope you would try it on your paper and am glad I helped

What is the k’s meaning in k over 5 = 5

Answers

Answer:

25

Step-by-step explanation

5 times 5 is 25

(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)

Solve for x solve for x please !!!

Answers

Answer:

cos(16°)•10=x

option one: 9.613

i cant resolve this equation : 2x = -2x + 8, can you help me please

Answers

Answer:

x = 2

Step-by-step explanation:

OK so lets do it together.

2x = -2x + 8

Subtract 8 from both sides

2x - 8 = -2x

Add 2x to both sides

4x - 8 = 0

Add 8 to both sides

4x = 8

Divide each side by 4

x = 2

Check:

4 = -4 + 8

4 = 4

correct

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not.

Answers

Answer:

Yes, Kylie's can have the same ratio of tulips to daisies as that of Jorge

Step-by-step explanation:

Complete question

Jorge planted flowers in his garden. He planted one row of 12 tulips

and one row of 36 daisies. Jorge's friend Kylie has a garden with 100 flowers in it. Kylie's garden contains tulips and daisies. Is it possible for Kylie's garden to have the same ratio of tulips to daisies as Jorge's garden? Explain why or why not

Solution

Ratio of Tulip to daises in Jorge garden is 12:36 = 1:3

Here the common factor is 12 for numerator and denominator i.e 4 * 3 or 2, 2, 3

Given, Jorge's friend Kylie has a garden with 100 flowers, 100 is divisible by 4 but not 3.

Hence, if we take  Ratio of Tulip to daises in Jorge garden as 3:9 (by only removing common factor 4), then the Ratio of Tulip to daises in Kylie  garden will have the same ratio is that of Jorge'sgarden

look at the photo and solve what goes in the boxes that say choose.

Answers

Answer:

120

Step-by-step explanation:

Split up the boxes to help you achieve the answer.

The base of a prism is a square 7 cm on a side. The height of the prism is 10 cm. The volume is _?_ cm3.​

Answers

Answer:

70 cm^3

hope this helps

have a good day :)

Step-by-step explanation:

base=length and width so 7 x 10=70 cm3

Find the mean (average) of {22, 24, 13, 37, 20. 16}

Answers

Mean- 22

Median- 21

Range- 24

Minimum- 13

Maximum- 37

Find the slope of the line parallel to the line graphed.
A) -1
B) 0
C) 1
D) undefined

Answers

The answer is -1 because if you see the graph

The answer is -1 because of how the graph is

SOMEONE PLEASE HELP ME ASAP WITH THIS AND SHOW WORK

Answers

I’m sorry I can’t help but pray

What is the perimeter?

Answers

A perimeter is either a path that encompasses/surrounds/outlines a shape or its length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications. A calculated perimeter is the length of fence required to surround a yard or garden.


The marked price of an article is Rs 400. If 5% discount is allowed, how much should
be paid for it?

Answers

Answer:

Rs.380

Step-by-step explanation:

Given data

Price=  Rs 400.

Discount= 5%

Let us find the amount of the discount

=5/100*400

=0.05*400

=Rs. 20

Hence the amount that should be paid for it is

=400-20

=Rs.380

I’ll give brainly
Is the following statement
possible or impossible?
A triangle has side lengths of
3, 7, and 10

Answers

Answer:

Possible

Step-by-step explanation:

The rule for triangle side lengths is that the two shortest sides must add up to the longest side so it is possible because

3+7 = 10

Two short sides = The longest side

Answer:

possible

Step-by-step explanation:

3+7= 10

A swimming pool has a gradual slope to the deep end. It forms a triangular prism. If the pool is filled to the very edge, then how many cubic feet of water does the pool hold?

Answers

378ft3

explanation:


i
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