trigonometry help! Please show work.

Trigonometry Help! Please Show Work.

Answers

Answer 1

Answer:

1.

d - adjacent

e - hypotenuse

f - opposite

2.

[tex]\sin \theta = \frac{12}{13},\\\\\cos \theta = \frac{5}{13},\\\\\tan \theta = \frac{12}{5},[/tex]

Step-by-step explanation:

1. The opposite side of an angle is the side that the angle faces or forms. The hypotenuse of a right triangle is always the longest side of the right triangle. The adjacent side is one side or leg next to the angle that is not the hypotenuse.

2. In right triangles only:

The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)

The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus, we have:

[tex]\sin \theta = \frac{12}{13},\\\\\cos \theta = \frac{5}{13},\\\\\tan \theta = \frac{12}{5},[/tex]


Related Questions

please help and simplify these expressions and show how u found them! i will mark brainliest !

Answers

5(k+4)-2k
Multiply the k and the 4 by 5
Now you have 5k+20-2k
Minus 2k from 5k
Now you have 3k+ 20 that’s the answer

2(3+d-1)
Multiply 3, d, and 1 by 2
Now you have 6+2d-2
Minus 2 from 6
Now you have 4+2d that’s the answe

Answer:

3) 3k+20

4) 4+2d

Step-by-step explanation:

You first have to distribute by multiplying the number next to the expression in the parenthesis. Then you combine like terms.

3) 5(k+4)-2k

  Step 1: (5×k= 5k) (5×4=20) equation is now 5k+20-2k

  Step 2: 5k-2k=3k since they both have the same variable you combine like terms. Equation is now 3k+20 (Final answer)

4) 2(3+d-1)

  Step 1: (2×3=6) (2×d=2d) (2×[-1]=2) Equation is now 6+2d-1.

  Step 2: (6-2=4) Since both 6 and 1 don't have any variable their like terms and you combine them. Equation is now 4+2d (Final answer)

can someone please help

Answers

Answer:

78 cm^2

Step-by-step explanation:

This will require 3 steps.

1) Area of the entire rectangle

18cm * 8 cm = 144 cm^2

2) Area of the square with one side length of 9cm

The missing measurement for the heights below 2cm

8cm - 2 cm = 6 cm

This area will be 6cm * 9 cm = 54 cm^2

3) Triangle

You have your height, which is 6cm

You also have your base, 18 cm total length minus the 5 cm stated minus the 9 cm also stated.

18cm - 5cm - 9 cm = 4 cm

The area of a triangle is A= h b/2

A = 6 * (4/2)

A = 12 cm^2

Now substract the sum of the smaller rectangle and the triangle from your large triangle

144 - 54 - 12

PLEASE HELP ME

A toy castle tower is made using a
cylinder and cone with the same base
radius of 3 cm. If the height of the
cylinder is 5 cm, and the height of the
cone is 4 cm, what is the total volume
of the tower?

Answers

Answer:

12

Step-by-step explanation:

The base radius is 3

The height of the cylinder is 5

The height of the cone is 4

Add The Numbers

3 + 5 + 4 = 12

Answer:

57π cm³ ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]

Step-by-step explanation:

Cone Volume = ⅓πr²h

Cylinder Volume = πr²h

__________________

Given:

Cone and Cylinder have a radius of 3 cm.Cone has a height of 4 cm.Cylinder has a height of 5 cm.

_____________________

The total volume will be the sum (addition) of the cones volume and the cylinders volume.

Therefore:

Total volume = ⅓πr²(h_1) + πr²(h_2)

Total volume = (⅓(h_1) + (h_2))(πr²)

Total volume = (⅓(4 cm) + (5 cm))(π(3 cm²))

Total volume = (4/3 + 5)(9π) cm³

Total volume = (19/3)(9π) cm³

Total volume = 57π cm³

Total volume = 179.0707812546.. cm³

Total volume ≈ 179.07 cm³ [hundredth] or 179.1 cm³ [tenth]

(10100)2-(111)2
binary subtraction
plz show process ​

Answers

Step-by-step explanation:

(10100)2-(111)2(1101)2

stay safe healthy and happy.

What is the expanded form of the number below?
700 +90 +0.1 +0.04
1)
700 + 9 + 0.1 + 0.04
709.104
70 + 9 + 0.1 +0.004
700 + 9 + 0.1 + 0.004

Answers

it is the first one

what is the perimeter of a rectangle with sides of 4 inches by 8 inches?​

Answers

80
just trust me bro

hi ^^

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

here's your answer: P=24in

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bye <3

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.


Match each series with the equivalent series written in sigma notation.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

helpp!!!


Over the next 16 months you have to read 64 books. You have to read x books per month. The inequality 16 x 64 represents this situation. Solve the inequality to find the number of books you have to read per month.
You have to read
nothing books per month.

Answers

Answer:

Your answer is 4 books per month.

Step-by-step explanation:

A really simple way to solve this is to simply divide 64 by 16, and you get 4. You have to read 4 books per month to reach 64 books in 16 months.

The Andersons are going on a long
sailing trip during the summer.
However, one of the sails on their
sailboat ripped and they have to
replace it. The sail is pictured to the
left. If the sailboat sails are on sale
for $2 per square foot, how much will
the new sail cost? Show your work.

Answers

Answer:

$96

Step-by-step explanation

area of sail = ½×8×12= 48 sq ft

the cost of new sail = 48 × $2

= $96

Find the remainder when the polynomial. 3x²+4x -11 is divided by x-2 by long division method​
please answer fast.

Answers

Answer:

9.

Step-by-step explanation:

x - 2 ) 3x^2 +  4x   -  11 ( 3x + 10 <--------Quotient

          3x^2 -  6x               (Subtract)

                      10x  -  11

                      10x  - 20     (Subtract)

                                   9 <---------- Remainder

please help! image is below,


If b = 45, and c = 4 , then a = ___ units.

Answers

Answer:

a = 26.5 units.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex] {a}^{2} =c(b + c) \\ \\ {a}^{2} = 4(4 + 45) \\ \\ = 4 \times 49 \\ \\ a = \sqrt{4 \times 49} \\ \\ a = 2 \times 7 \\ \\ a = 14[/tex]

Mrs. Hansen wanted to compare the amount of money she spent at the grocery store for the first 9 weeks and the second 9 weeks of the year. Using the information below, answer each question. 1st 9 weeks: 92, 85, 43, 100, 65, 78, 88, 92, 75 2nd 9 weeks: 86, 63, 95, 75, 92, 81, 87, 86, 95 What is the mean for 1st 9 weeks?

Answers

Answer:

Step-by-step explanation:

6, 10, 14, ...
Find the 30th term.

Answers

50 i think that’s it sorry if it’s wrong

Answer:

122

Step-by-step explanation:

Four multiplied by 29 add six

(4.5 x 104) = (300) = 0

Answers

Answer:

the equality is false the correct solution is

[tex]4.5 \times 104 \\ (4 + 0.5) \times 104 \\ 4 \times 104 + 0.5 \times 104 \\ 416 + 52 \\ = 468[/tex]

hope it helps

please give me brainliest.

Use the graph to answer the question.

Which parametric equations describe the curve?

A. x = cos(t) + 3 and y = sin(t) + 3 for 0 ≤ t ≤ π
B. x = cos(t) + 3 and y = sin(t) + 3 for 0 ≤ t ≤ 2π
C. x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ π
D. x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ 2π

Answer is C. Add an answer so it won't be archived!

Answers

C) x = 3cos(t) + 1 and y = 3sin(t) + 1 for 0 ≤ t ≤ π

Correct on Edge 2021

help please (mhanifa)
answer the 3 questions based on the table.
1.What is the y intercept of the function?

2.What is the first difference?

3.Write an equation to represent the function given in the table. Remember we write linear functions in y=mx+b form!

Answers

Answer:

1.What is the y- intercept of the function?

The value of f(x) when x = 0The y-intercept is 5 as indicated in the table

2.What is the first difference?

The difference in values of consecutive f(x):

7 -5 = 9 - 7 = 11 - 9 = 13 - 11 = 2

This is also called the slope if the relationship is linear.

3.Write an equation to represent the function given in the table.

Based on the information above we have:

m = 2, b = 5

The equation is:

y = 2x + 5

Necesito ayuda por favor
I need help please

Answers

Answer:

about 703.69

Step-by-step explanation:

To calculate the base you would use pi radius squared: 153.93

Since you have 2 bases you would multiply that by 2: 307.87

Then you need to find the circumference (2 pi radius) : 43.98

Then you multiply the circumference by the height: 395.82

Add the bases and the sides to get 703.69

Answer:

32.5cm[tex]^{2}[/tex]

Step-by-step explanation:

A= (7) (9) = 63 / 2

A= 32.5cm[tex]^{2}[/tex]

6x10 to the power of zero

Answers

The correct Answer should be 6

Answer:

the answer is 1

Step-by-step explanation:

Anything with the power of 0 is 1

jim is selling greeting cards at a booth at a folk fair. he will be paid $12 plus $2 for each box that he sells how many boxes must he sell in order to make at least $42

Answers

Answer:

15

Step-by-step explanation:

12+2x=42

2x=30

x=15

In circle L with m^KLM 54 and KL= 10 units, find the length of arc KM.

Round to the nearest hundredth.

Answers

Given:

In circle L, measure of angle KLM is 54 degrees and KL = 10 units.

To find:

The length of arc KM.

Solution:

The formula for arc length is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]          ...(i)

Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in degrees.

The measure of KL is 10 units, it means the radius of the circle L is 10 units.

The measure of angle KLM is 54 degrees, it means the measure of central angle on arc KM is 54 degrees.

Putting [tex]\pi=3.14, r=10,\theta=54^\circ[/tex] in (i), we get

[tex]s=2(3.14)(10)\times \dfrac{54^\circ}{360^\circ}[/tex]

[tex]s=20(3.14)\times 0.15[/tex]

[tex]s=9.42[/tex]

Therefore, the length of arc KM is 9.42 units.

i need help finding the percentage to this word problem!

Answers

Answer:

Step-by-step explanation

Each week a discount of 15% of the previous week.So the price will be 85% of the previous week (17/20 of the previous price)

We multiply the price from the previous week  by 0.85 to obtain the new price  

200 x 0.85 = 170

170 x0.85 = 144.50.....and so on

3)$ 122.82

4$)104.40

5).$88.74

6)$75.42

The shoes will be less than half in week 5

                 

 DECAY

The friend is not right

$30 less was only the first week

Each week the saving will be 85% of the  previous week. But the shoes will not be free in 2 months  On the week 8 the price will be $54.50

A survey was conducted to find what percentage of high school students prefer
watching baseball or football or both. Students had to select one of those three options.
Let A represent the set of students who prefer watching baseball and B represent the set
of students who prefer watching football.
Which statement correctly describes the complement of set A?
The students who prefer baseball or football or both.
The students who prefer football but not baseball.
The students who prefer only baseball.
The students who prefer only baseball or only football.

Answers

Answer:

the student who prefers football but not baseball

How do we calculate length without points given? ​

Answers

Breath X height for area

A flower bed is 9 3/8 ft. by 12 1/6 ft. what is the area of the flower bed​

Answers

Answer:114 1/6

Step-by-step explanation: you have to multiply the l x w which is 9 3/8 and 12 1/6

Order the tiles from greatest to least magnitude

Answers

Answer:

2, 4,6,8,12,20

Step-by-step explanation:

when in [ ] it turns negatives into positives, and 2 3/10 is around 2.3 in decimal form.

Answer:

exactly like thast

Step-by-step explanation:

The numbers X, Y, and Z are such that y= KX and Z equals K^2x FK equals 1.5, select a possible values for the set of numbers {x,y,z}

Answers

Answer:

Step-by-step explanation: Answer is a

Marking brainliest

Are you against animal testing? If so, why?

Answers

Answer:

No

Step-by-step explanation:

I honestly find it quite disturbing. That is just me though, and I just hate seeing animals get hurt.

Dose anyone know how to solve this?

Answers

Strictly increasing functions:

Let a function f(a) for x = a, then,

f(a + h), for x = a + h,

If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.

In the given graph, there are straight lines so you can say increasing interval would have +ve slope.

For x = -5 to -4, it increases = [-5, -4]

For x = 1 to 3, it increases = [1, 3]

Answer: [-5, -4] , [1, 3]

what are the two solutions to x( 2x - 5) = 0

Answers

When you multiply anything by zero, you will get zero
Therefore you know that:
x = 0 and 2x - 5 = 0
2x - 5 = 0, solve for x
2x = 5, x = 5/2

Solution: x = 5/2, x = 0

A circular plate has circumference 33.3 inches. What is the area of this plate? Use 3.14 for Pi.
The area of this plate is_____about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)

Answers

Answer:

88 square inches

Step-by-step explanation:

A circular plate has circumference 33.3 inches.

Step 1

We find the radius

The formula to find the radius go a circle given circumference is

= C /2π

r = 33.3/2 × 3.14

r = 5.3025477707 inches

Approximately to the nearest thousandth = 5.303 inches

Step 2

What is the area of this plate? Use 3.14 for Pi.

The area of a circle = πr²

Where

π = 3.14

r = 5.3025477707 inches

Hence

Area of the circle = 3.14 × (5.303inches)²

= 88.30248026 square inches

Approximately to the nearest whole number the area of the circle = 88 square inches

The area of this plate is about 88 square inches.

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Kelly Mattingly, the towns public works director, has developed plans for a facility that would cost $4.5 million to construct. To pay for the project, the town would sell municipal bonds with a duration of 30 years at 8% interest. Kelly also estimates that five employees would be required to operate the lot on a daily basis, at a total annual cost of $140,000. It is estimated that each car that enters the lot would park for an average of 2.5 hours and pay an average fee of $3.20. Further, it is estimated that each car that parks in the lot would (on average) cost the town $0.60 in annual maintenance for cleaning and repairs to the facility. Most of the downtown businesses (which include a number of restaurants) are open 7 days per week.Required:a. Using break-even analysis, determine the number of cars that would have to park in the lot on an annual basis to pay off the project in the 30-year time frame.b. 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