Find cos (B) in the triangle

Find Cos (B) In The Triangle

Answers

Answer 1
Basic Trigonometric Ratios

We can identify the sides of a right triangle by describing their location in relation to a given angle.

The "hypotenuse" is the longest side of a right triangle. It is opposite the right angle.The "opposite" is the side that the angle does not touch.The "adjacent" is the side that the angle does touch, that is not the hypotenuse.

There are three basic trigonometric ratios:

The sine ratio: [tex]\sin\theta=\dfrac{opposite}{hypotenuse}[/tex]The cosine ratio: [tex]\cos\theta=\dfrac{adjacent}{hypotenuse}[/tex]The tangent ratio: [tex]\tan\theta=\dfrac{opposite}{adjacent}[/tex]

We use theta (θ) to represent an angle.

Solving the Question

We are asked to find [tex]\cos(\beta)[/tex] in the triangle.

[tex]\cos\theta=\dfrac{adjacent}{hypotenuse}[/tex]

The side adjacent to β measures 8 units.

The hypotenuse of the right triangle measures 17 units.

[tex]\cos\beta=\dfrac{8}{17}[/tex]

Answer

Therefore, [tex]\cos\beta=\dfrac{8}{17}[/tex].


Related Questions

Find an equation of the line. Write the equation in standard form.
Through (10,25) and (4, 13)

Answers

Answer:

y=2x+5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-25)/(4-10)

m=-12/-6

m=2

y-y1=m(x-x1)

y-25=2(x-10)

y=2x-20+25

y=2x+5

For each triangle, find the value of the variables

Answers

Answer/Step-by-step explanation:

Triangle PNM is an equilateral triangle, and angles in an equilateral triangle are all equal to 60.

y=60

Triangle PON is a different triangle, but all angles in a triangle add up to 180.

180-80=100

Because there are 2 angles, you do 100 divided by 2=50

x=50

Please help with this Algebra question

Answers

Answer:

x = -2, y = -1, z = 1

Step-by-step explanation:

From (3), z = 2x + 5

From (2) y = (x - 2)/4

Sub them into (1):

5x - 6*(x - 2)/4 + 3(2x + 5) = -1

5x - 3x/2 + 3 + 6x + 15 = -1

19x/2 = -19

x/2 = -1

x = -2

y = (x - 2)/4 = (-2-2)/4 = -1

z = 2x + 5 = 2(-2) + 5 = 1

Parallel Lines find the missing values of x and y equation

This was a level 4+ question I was given on a quiz, and I am going to retake it and want to know how to solve this. I don’t understand at all! Someone please help!

Answers

Answer:

[tex]x=90\\y=-40[/tex]

Step-by-step explanation:

Let's set up a system of equations using the given information.

x+y=50

x-y=130

We can solve this system using elimination. In this case, we can eliminate x by subtracting the two equations.

[tex]x-x+y-(-y)=50-130\\x-x+y+y=50-130[/tex]

[tex]2y=-80[/tex]

Divide both sides by 2.

[tex]y=-40[/tex]

Then, plug -40 in for y to solve for x:

[tex]x+y=50\\x+(-40)=50\\x-40=50\\\text{Add 40 to both sides}\\x=90[/tex]

Therefore..

[tex]x=90\\y=-40[/tex]

A step has a height of 6 inches. A ramp starts 5 feet away from the base of the step, making a 5.7° angle with the ground. What can you say about the angle the ramp would make with the ground if the ramp starts closer to the step?​

Answers

Answer: i believe in c but it could be any of em im super sorry if you get it wrong though like seriously sorry  

Step-by-step explanation:

If the ramp starts closer to the step then the angle would increase.

What is the angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

Given here the height of the step =6 inches and the distance of the ramp from the ground is 5 feet or 59.99 inches

let the angle be θ then  tanθ=6/x where x is the distance from the ramp to the ground thus with the decrease in the distance the value of tanθ increases and hence tan⁻¹(6/x) increases since the arctan function is the inverse of the tangent function.

Hence, If the ramp starts closer to the step then the angle would increase.

Learn more about the tangent function here:

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I need help with filling in the chart

Answers

Answer:

5-2.5

10-5

15-7.5

20-10

25-12.5

Step-by-step explanation:

The number of pizzas is just double the pounds of cheese.

how many elements does A contains if it has 64 subsets​

Answers

Answer:  6

===========================================================

Explanation:

Rule: If a set has n elements in it, then it will have 2^n subsets.

For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.

{a,b,c} .... any set is a subset of itself{a,b}{a,c}{b,c}{a}{b}{c}{ } ..... the empty set

Subsets 2 through 4 are subsets with exactly 2 elements.  Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol [tex]\varnothing[/tex] to indicate the empty set.

For more information, check out concepts relating to the power set.

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

The problem is asking what value of n will make 2^n = 64 true.

You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.

Another approach is to follow these steps.

[tex]2^n = 64\\\\2^n = 2^6\\\\n = 6[/tex]

Which is fairly trivial.

Or you can use logarithms to solve for the exponent.

[tex]2^n = 64\\\\\text{Log}\left(2^n\right)=\text{Log}\left(64\right)\\\\n*\text{Log}\left(2\right)=\text{Log}\left(64\right)\\\\n=\frac{\text{Log}\left(64\right)}{\text{Log}\left(2\right)}\\\\n\approx\frac{1.80617997398389} {0.30102999566399} \ \text{ ... using base 10 logs}\\\\n\approx5.99999999999983\\\\[/tex]

Due to rounding error, we don't land exactly on 6 even though we should.

PLEASEEEE HELP I NEED A ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
David has $520 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $303.93.
He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
He plans to spend some or all of the money he has left to buy new biking outfits for $73.43 each.

Write and solve an inequality which can be used to determine xx, the number of outfits David can purchase while staying within his budget.

Answers

Answer:

answers is 32.564

Step-by-step explanation:

has left for buying outfits

Answer:x<_2

Step-by-step explanation:

$520

303.93+43.96(4 reflectors)+25.25 =373.14

new outfit =73.43x

73.43x+373.14<_520

x<_2

7. On average, 2 apples out of 15 are classified as being underweight. Find the probability that, in a
random sample of 200 apples, the number of apples which are underweight is more than 21 and
less than 35.

Answers

Answer:

200/15=13.22222. x 15= 26.666. 26.66666 is between 21 & 35.

Find FG

FG=
__________________

Answers

FG = 16

Step-by-step explanation:

Two pairs of consecutive are congruent so, its a kite,

Opposite sides are equal in kite so,

x + 11 = 3x + 1

or, 11 - 1 = 3x - x

or, 2x = 10

so, x = 5

FG = x + 11 = 5 + 11 = 16

A number is increased 20%.By what percent the new number is decreased so that the number restores the original value?​

Answers

Answer:

You have to give the number by which the 20% is increased in order to cross multiply and divide by a hundred to find the missing % of the decrease. Otherwise, you would simply subtract 20% from 100%, which seems unlikely to be the answer. We need more information.

Step-by-step explanation:

Find AB
А.
B
N
M
-3. finele ooie 7
35.
D
22 uz to
с
29

Answers

Answer: 15

Step-by-step explanation:

By the trapezoid midsegment theorem,

[tex]\frac{AB+CD}{2}=MN\\\frac{29+AD}{2}=22\\29+AD=44\\AD=15[/tex]

25. The Orlemann family planted 3 rows of corn this year and
harvested 270 ears. How many rows should they plant if they
want to harvest 360 ears of corn?

Answers

Step-by-step explanation:

3 rows of corn provided 270 ears.

therefore 1 for provides 270/3 = 90 ears

so, to get 360 ears of corn, we need 360/90 = 4 rows of corn.

Simplify the expression:
2x+1bx8

Answers

Answer:

2x+8b

Step-by-step explanation:

First since 1 and 8b are on the same side mutiply them:

1bx8=8b

So our new equation is 2x+8b

x^3-3x^2+3x-1,x^3-x^2-x+1,x^4-2x^3+2x-1​

Answers

Answer:

3x + x - 2x + 8 = 3x + x

2. 2 (2x + 4) - 2x = x + 18

3. If x = 5 , evaluate : 2 ( x + 3) + 3x

4. 3 (2x) - 3x + 4= 2x + 5

5. 3x +2x + x = x + 6

6. 2 ( x+ 4) + x = 16

The average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed,

1) What is the probability that the mean mpg for a random sample of 25 light vehicles is under 20?

2) What is the probability that the mean mpg for a random sample of 25 light vehicles is between 20 and 25?

Answers

Answer:

1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.

2) between 20 and 25 --> 21-25/2.9 = -1.38

Step-by-step explanation:

Problem #1:

Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.X < 20= z = 20 - 21/2.9/√25= z = -1/2.9/5= z = -1.72414Now

P-value from Z-Table:

P(x<20) = 0.042341

Problem #2:

21-25/2.9 = -1.38

(Please someone help me!) (No links!)

Answers

Answer:

C. 150 degrees

Step-by-step explanation:

Angles 2 and 4 are opposite angles which means that they are congruent to each other

Answer:

150

Step-by-step explanation:

∠2 and ∠4 are vertically opposite angles and they are congruent.

Bonnie volunteers to bring bags of candy to her child's class for the Halloween party this year. She buys one bag of candy A containing
135 pieces of candy, one bag of candy B containing 495 pieces of candy, and one bag of candy C containing 315 pieces of candy. She
needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make so that each one has the same number
and variety of candy? How many of each type of candy will be in each bag?

Answers

Step-by-step explanation:

we need the greatest or largest common factor (LCF) to find how many bags.

method prime factorization :

beginning with 2 we divide the number as often as possible by the current prime number until there is a remainder. then we use the next higher prime number and do the same.

when we reach 1 as final result, the process ends.

135 ÷ 2 not possible, going to 3

135 ÷ 3 = 45

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 3 not possible, going to 5

5 ÷ 5 = 1 end

135 = 3×3×3×5

495 ÷ 2 not possible, going to 3

495 ÷ 3 = 165

165 ÷ 3 = 55

55 ÷ 3 not possible, going to 5

55 ÷ 5 = 11

11 ÷ 5 not possible, going to 7

11 ÷ 7 not possible, going to 11

11 ÷ 11 = 1 end

495 = 3×3×5×11

315 ÷ 2 not possible, going to 3

315 ÷ 3 = 105

105 ÷ 3 = 35

35 ÷ 3 = not possible, going to 5

35 ÷ 5 = 7

7 ÷ 5 not possible, going to 7

7 ÷ 7 = 1 end

315 = 3×3×5×7

the LCF is the longest sequence of prime factors the numbers have in common.

so, again, the numbers as prime factors in comparison :

135 = 3×3×3×5

495 = 3×3×5×11

315 = 3×3×5×7

they have in common

3×3 and 5

the LCF = 3×3×5 = 45

so, she can make max. 45 treat bags.

each bag will contain

135/45 = 3 pieces of candy A

495/45 = 11 pieces of candy B

315/45 = 7 pieces of candy C

you notice, how these numbers are exactly the remaining factors of the prime factoring ? it is not a coincidence ...

notice that 45 is the maximum number of treat bags.

following the prime factor combinations she could also create fewer treat bags (but with correspondingly more content).

she could create also

1 or

3 or

5 or

9 or

15

treat bags.

Which of the following expressions is equivalent to 14xy – 28x - 36y + 48?

Answers

Answer:

2[7x(y – 2) – 6(3y – 4)]

Step-by-step explanation:

If you go down the answer choices and find the solution, this one matches.  Look at picture for better explaining.

The expression will be equal to 2[7x(y-2) - 6 (3y - 4)].

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be solved as:-

=    2  [  7x(  y-2 ) -  6 ( 3y - 4 ) ].

=   14x ( y - 2 ) - 12 ( 3y - 4 ) ]

=   14xy  -  28x -  36y  -  48

Therefore expression will be equal to 2[7x(y-2) - 6 (3y - 4)].

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Find the following sets

Answers

Answer:

Step-by-step explanation:

a)h,q,r,y

b) p,x,z,h,q,r,y

find the classical probability of spinning 3

Answers

Answer:The probability of spinning a 3 is also 2 / 8.

Huh what dont get it?!...

Answers

Answer:

C) 1.6 million

Step-by-step explanation:

Every two years it increases by 0.15

= 150,000

Therefore, previous year + 0.15

= 1.45 + 0.15

= 1.6

-9-12 equivalent equation

Answers

Answer:

No!

Step-by-step explanation:

no explanation!

b/c no equal sign this is no equation!

so,exactly no!

ANSWER THE QUESTION BELOW AND YOU WILL GET 25 GOOD POINTS, PROBABLY BRAINIEST AS WELL!!!!!!! WITH DETAILED SOLUTION PLEASE.

Answers

Answer:

4.5 kg

Step-by-step explanation:

Weight of the puppy last year - x

1) 150 % = 1.5

2) x * 1.5 = 6.75

   x = 6.75 / 1.5

   x = 4.5 (kg)

Answer:

A

Step-by-step explanation:

First i take every answer and multiply them by 0.150. When i do this i can find the answer quickly because only one will equal the 6.75.

A equals the 6.75.

Have an amazing day!

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8. An automobile's velocity, starting from a complete stop, is
140t
v (1) where vis measured in feet per second. After what
5t - 6
elapsed time would the automobile reach a velocity of 44 feet per
second? Please round your answer to the nearest tenth.

Answers

Answer:

3.3 seconds

Step-by-step explanation:

v(t) =140t/5t - 6 where v is velocity

The time, t when, v = 44 ft/s

Put v = 44 ft/s in the equation :

44 = 140t / 5t - 6

44(5t - 6) = 140t

220t - 264 = 140t

-264 = 140t - 220t

-264 = - 80t

Divide both sides by 80

264 / 80 = 80t/80

3.3 = t

Hence, automobile will reach a velocity of 44 ft /s after 3.3 seconds

Make N the subject of formula
[tex]P = N + \frac{2}{D} [/tex]​

Answers

Answer:

P-2D=N

Step-by-step explanation:

P=N+2/D

L.C.M

[tex] \binom{n + d}{1} [/tex]

Find the value of x. Round to the nearest tenth.
20
X
35

Answers

Answer:

i think it's 40 I don't know.

Step-by-step explanation:

(:

What is m
A) 40°
B) 60°
C) 75°
D 80°

Answers

Answer is A
I got it right on my test so it should be A

Which transformation can be applied to the blue figure to create the red figure?

Answers

Answer:

Step-by-step explanation:

A rotation

Could you please be more specific on the question?

Answer:

Rotate 90 degrees to the left and then reflect it over the x axis

Step-by-step explanation:

It's a bit odd of a question being that it like doesn't have any axis shown but if you do this to the blue guy it should look like the red guy

What is the maximum or minimum value? f(x) = -(x - 8) ^ 2 - 25

Answers

Answer:

You have a maximum when the parabola opens down (-x^2), and a minimum when it opens up (+x^2). In your case, it opens down because of the -. That is the special notation, the vertex of the parabola is already there.

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