Justin was asked to write equations based on the triangle below. So far he has come up with the following equations: Which of the following would be another correct equation?

Justin Was Asked To Write Equations Based On The Triangle Below. So Far He Has Come Up With The Following

Answers

Answer 1

Answer:

C: tan 60 = √3

Step-by-step explanation:

Let the adjacent part of the triangle be x and let the opposite side be y.

Thus, from trigonometric ratios;

x/10 = cos 60

We are given cos 60 = ½

Thus;

x/10 = ½

x = ½ × 10

x = 5

Similarly;

y/10 = sin 60

Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;

y/10 = cos 30

We are given cos 30 = (√3)/2

Thus;

y/10 = (√3)/2

y = 10 × (√3)/2

y = 5√3

Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.

Thus;

5/(5√3) = tan 30°

1/√3 = tan 30

Similarly;

5/10 = sin 60°

sin 60° = ½

Also;

tan 60 = (5√3)/5

tan 60 = √3

Also;

sin 30 = 5/10

sin 30 = ½

Looking at the options, the only correct one is Option C


Related Questions

Given <2 and <4 are the vertical angels. Prove <2≅ <4

Answers

Answer:

Angle 2 = Angle 4 ( vertically opposite angles)

In ΔXYZ, x = 71 cm, y = 91 cm and z=71 cm. Find the area of ΔXYZ to the nearest square centimeter.

Answers

Answer:

2479.95

Step-by-step explanation:

i worked out that guys problem who wouldnt work it out for you.

Find the second number​

Answers

-0.625 is the second number, to do this you just subtract 1.875-2.5

[tex]\huge\bold{Given :}[/tex]

Product of two numbers = 1.875

One of the number = 2.5

[tex]\huge\bold{To\:find :}[/tex]

The second number.

[tex]\huge\bold{Solution :}[/tex]

[tex]\sf\blue{The \:second\:number \:is\:0.75 .}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let the second number be [tex]x[/tex].

As per the question, we have

[tex]Product \: \: of \: \: the \: \: two \: \: numbers = 1.875 [/tex]

[tex]⇢ \: 2.5 \times x = 1.875[/tex]

[tex]⇢x = \frac{1.875}{2.5} [/tex]

[tex]⇢x = 0.75[/tex]

[tex]\sf\purple{Therefore,\:the\:second\:number\:is\:0.75.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]2.5 \times x = 1.875[/tex]

[tex]➪ \: 2.5 \times 0.75 = 1.875[/tex]

[tex]➪ \: 1.875 = 1.875[/tex]

➪ L. H. S. = R. H. S.

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

pls help and explain thank you and love u (on pic)

Answers

Answer:

(x+1)(2x+5)

Step-by-step explanation:

Work out the area of a rectangle with base, b = 34mm and perimeter, P = 86mm.​

Answers

Answer:

306mm²

Step-by-step explanation:

the height h = 86/2 -34 = 43-34=9mm

the area = 34×9= 306mm²

Answer: (I am assuming this is 2D?)

Two bases together: 34 * 2

68

Two lengths together is p - two bases:

18

Individual length:

9

Area is base times length

9 * 34

306mm

Factors of polynomial 3xsquare +x-4

Answers

Answer:

(3x + 4)(x - 1)

Step-by-step explanation:

3x^2 + x - 4

use middle term break method

we need two number which gives 12 when multiplied and 1 when subtracted

3x^2 + (4 - 3)x - 4

3x^2 + 4x - 3x - 4

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

(3x + 4)(x - 1)

Answer:

(x - 1)(3x + 4)

Step-by-step explanation:

Given

3x² + x - 4

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 4 = -12 and sum = + 1

The factors are - 3 and + 4

Use these factors to split the x- term

3x² - 3x + 4x - 4 ( factor the first/second and third/fourth terms )

= 3x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term

= (x - 1)(3x + 4) ← in factored form

A regular pentagon has a perimeter of 60 cm.

A regular pentagon has a perimeter of 60 centimeters and center point B. Radii B A and B D are drawn to form triangle A B D. Apothem B C is drawn to split the triangle into 2 right triangles.

What is the measure of angle CBD?

°

What is the length of segment CD?

cm

Which trigonometric ratio can be used to compare BC to CD using angle CBD?


What is the approximate length of BC?

cm

What is the approximate length of BD?

cm

Answers

Answer:

36˚

6 cm

tangent

8.3 cm

10.2 cm

Step-by-step explanation:

The side lengths of the regular pentagons are congruent

What is the measure of angle CBD?

A pentagon has 5 sides, and the central angle is 360°.

Calculate the measure of ABD using:

ABD = 360°/5

ABD = 72

The measure of CBD is half the measure of ABD.

So, we have:

CBD = 0.5 * 72

CBD = 36

Hence, the measure of CBD is 36 degrees

What is the length of segment CD?

A pentagon has 5 sides, and the given perimeter is 60 cm

Calculate the length of AD using:

AD = 60cm/5

AD = 12

The length of CD is half the length of ABD.

So, we have:

CD = 0.5 * 12

CD = 2

Hence, the length of CD is 6 cm

cm

Which trigonometric ratio can be used to compare BC to CD using angle CBD?

Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio

What is the approximate length of BC?

We have:

tan(CBD) = CD/BC

Make BC the subject

BC = CD/tan(CBD)

Substitute known values

BC = 6/tan(36)

Evaluate

BC = 8.3 cm

Hence, the approximate length of BC is 8.3 cm

What is the approximate length of BD?

By Pythagoras theorem, we have:

BD^2 = BC^2 + CD^2

This gives

BD^2 = 8.3^2 + 6^2

Take the square root of both sides

BD = 10.2 cm

Hence, the approximate length of BD is 10.2 cm

Read more about regular pentagons at:

https://brainly.com/question/14961220

Are these relations a function? Yes or no.
{(–1,5), (2, -1),(4,3), (9,-4), (11, 1)}

Answers

Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.

For example below below:

{(1,1),(2,3),(3,3),(4,5)}

The following relation is a function since there are no same x-values in a set.

{(1,1),(1,2),(2,2),(4,8)}

The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.

From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.

Answer

Yes, the following relation is a function.

The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?

(y − 5)
(y + 5)
(y − 8)
(y + 8)

Answers

Answer:

(y - 8)

Step-by-step explanation:

If you factor the original expression, y^2 - 10y + 16, you get (y-2)(y-8) so (y-8) is the other factor. You could also test this by multiplying (y-2)(y-8) together and seeing if you get the original expression.

Answer:c) y-8

Step-by-step explanation:

A helicopter is 665 feet above the ground. A girl is looking up at the helicopter to form a line. Her line of sight is 5 feet off the ground. The distance between the girl and the helicopter is 280 feet.

Answers

Answer:

67

Step-by-step explanation:

we are given adjacent and opposite sides. thus tan^-1 would be used to determine the angle

opposite side = 665 - 5 = 660

adjacent side = 280

tan = opposite / adjacent

[tex]tan^{-1}[/tex] (660/280) = 67

Answer:

67

Step-by-step explanation:

I took it on EDG

PLEASE help me! 50 Points

What is the Inverse of

Answers

Answer:

hmm what could it be I DNT kno

Find the measure of angle "b" ​

Answers

Answer:

43°

Step-by-step explanation:

Angle B is congruent to the opposite angle.

43c because it is exactly equivalent to the similar opposite numeral

Which value of x satisfy the following equation 24x - 18 - 18x - 30 = 96

Answers

Answer:

(24x-18x)( -18-30)

6x-48

Factor the answer
5u-15


Answers

Answer:

5(u - 3)

Step-by-step explanation:

5u - 15

5(u - 3)

Answer:

5 (u - 3)

Step-by-step explanation:

someone PLSSS HELP fast !! pls give rightt answer :( PLS

Answers

Answer:

the first one, 64(-1/2)^(n-1)

Step-by-step explanation:

To go from one number to the next, we first start with 64, so everything is multiplied by that. Next, 64 turns into -32, and (-32)/64 = -1/2. Similarly, 16/-32 is -1/2, and -8/16 is -1/2 as well. Therefore, we have to multiply each number by -1/2 a number of times. For example, to get from 64 to 16, we have to multiply 64 by negative one half 2 times. The only option with -1/2 in the multiplier is the first one, making that our answer

find the area of the polygon.

( help please )

Answers

Answer:

The area of the polygon will be 8 unit square.

If you draw lines from each point you will find 6 squares and 4 triangles. Since area of triangle is half than that of square, you can count two traingles to be equal of a square.

what is the formula of cost ​

Answers

Step-by-step explanation:

I don't know the answer try again later

Answer? Please ASAP I mark as brainlist please ASAP

Answers

Answer:

b. (x-3)(x+2)

Step-by-step explanation:

y=x^2-x-6

y=x^2-3x+2x-6

=x(x-3)+2(x-3)

=(x-3)(x+2)


If Nate was growing 1.68 inches permonth, how much will he grow in 6 1/2 months?


Plz help what do I have to do to get the answer?? What’s the answer

Answers

Answer:

10.92 inches

Step-by-step explanation:

So Nate grows 1.68 inches a month in this case you have 6 and a half month which is equivalent to 6.5 and so in this case you can multiply.

1.68 inches*6.5 months = 10.92 inches

Answer:

10.92 inches

Step-by-step explanation:

Use a proportion. Set up two ratios equal to each other.

Given ratio:

The ratio of months to inches of growth is

1 month : 1.68 inches or 1/1.68

Now set up a ratio involving the unknown amount.

6 1/2 is the same as 6.5

In 6.5 months, he grows x inches.

6.5 months : x inches, or 6.5/x

Set the ratios equal creating a proportion.

[tex] \dfrac{1}{1.68} = \dfrac{6.5}{x} [/tex]

Cross multiply.

1 * x = 1.68 * 6.5

x = 10.92

Answer: 10.92 inches

‼️‼️‼️HELP PLS‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Answers

Answer:

f^-1 (x)= 2×/×-1 is your answer

Pick the geometric term that matches the real-world object. rectangular prism sphere cylinder triangular prism cube

Answers

i cant help if there’s no picture im sorry

Answer:

Assuming this is the book one the answer is rectangular prism.

WILL MARK BRAINLIEST!

given m(x)= 2x-9 and p(x)=4x+8

What is (m+p)(x)

Answers

Answer:

6x-1

Step-by-step explanation:

m(x)= 2x-9

p(x)= 4x+8

(m+p)(x)  = 2x-9+4x+8

= 6x-1

!$P¡D£R €ŁÆŃ!!$P¡D£R €ŁÆŃ!

Answers

Answer:

A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.

Answer:

I would go with D

Step-by-step explanation:

Because there are 4 possibilities.

1) they both land heads up

2) they both land tails up

3) one lands heads up and the other tails up

4) one lands tails up and the other heads up

Hope this helps!

Is this statement true or false?
A down payment is paid before you begin monthly payments.
true
false

Answers

Answer:

True

Step-by-step explanation:

A down payment is mostly for deposit reasons with insurance. It also let's the landlord know you will be moving in soon. They will use that money for repairs when you move out. You have a chance of getting it pack if they find no damages :D

The answer is True!!!!!!!

Which polynomials are in standard forms?
Choose all answers that apply:
A. T^4 - 1
B. -2t^2 + 3t -+ 4
C. 4t - 7
D. None of the above

Answers

Answer:

B. -2t^2 + 3t - +4 is the answer.

A​ penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel.​ Penny-farthings were popular in the 1800s and were available in different sizes. Suppose the diameter of one particular​ penny-farthing's front wheel is inches and the ratio of the diameter of the front wheel to the diameter of the back wheel is ​:1. What is the circumference of the back​ wheel? Use 3.14 for. The circumference of the back wheel is nothing inches.

Answers

Answer:

The circumference of the back wheel is 2.62 inches

Step-by-step explanation:

Given

[tex]d_1 = 5in[/tex] --- diameter of front wheel

[tex]d_1 : d_2 = 3:1[/tex] --- ratio of the diameters

Required

The circumference of the back wheel

First, we calculate the diameter of the back wheel.

We have:

[tex]d_1 : d_2 = 3:1[/tex]

Substitute: [tex]d_1 = 5in[/tex]

[tex]5in: d_2 = 3 : 1[/tex]

Express as fraction

[tex]\frac{d_2}{5in} = \frac{1}{3}[/tex]

Make [tex]d_2[/tex] the subject

[tex]d_2 =5in * \frac{1}{3}[/tex]

[tex]d_2 = \frac{5}{3}\ in[/tex]

So, the circumference (C) of the back wheel is:

[tex]C =\pi d[/tex]

[tex]C = 3.14 * \frac{5}{6}\ in[/tex]

[tex]C = \frac{3.14 * 5}{6}\ in[/tex]

[tex]C = \frac{15.7}{6}\ in[/tex]

[tex]C = 2.62\ in[/tex]

I need to find the value of x and the measure of the exterior angle

Answers

Given:

In a right angle triangle, the measure of exterior angle is [tex](9x+16)^\circ[/tex].

The measure of opposite interior angle is [tex](5x-14)^\circ[/tex].

To find:

The value of x.

Solution:

Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.

Using exterior angle theorem, we get

[tex](9x+16)^\circ=90^\circ+(5x-14)^\circ[/tex]

[tex](9x+16)^\circ=(5x+76)^\circ[/tex]

[tex]9x+16=5x+76[/tex]

Isolate the variable x.

[tex]9x-5x=-16+76[/tex]

[tex]4x=60[/tex]

[tex]x=\dfrac{60}{4}[/tex]

[tex]x=15[/tex]

The value of x is 15. So, the measure of the exterior angle is:

[tex](9x+16)^\circ=(9(15)+16)^\circ[/tex]

[tex](9x+16)^\circ=(135+16)^\circ[/tex]

[tex](9x+16)^\circ=151^\circ[/tex]

Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.

Can you ride a bike 5 miles?

Answers

Answer:

yes you physically can

Step-by-step explanation:

the sum of two numbers is 63. The smaller number is 9 less than the larger number.what are the numbers

Answers

Answer:

27 and 36

Step-by-step explanation:

x + (x - 9) = 63

2x - 9 = 63

add 9 to both sides

2x = 72

Divide both sides by2

x = 36

x - 9 = 36 - 9

x - 9 = 27

is anyone good with Trigonometry word problems?​

Answers

Answer:

maybe

Step-by-step explanation:

but what help do u want?

Other Questions
Wind, moving water, sunlight, and heat from earth's interior are sources of how many toes do cats have A book that lists words in alphabetical order. It gives the definition(s),pronunciation, and a sample sentence for each word. (dictionary)a. To entertain b. To inform c. To persuade They usually do their homework at 8.30 p.m. from M_ _ _ _ _ _ to Friday. 2. On V_ _ _ _ _ _ _ _s Day, men often give women flowers and chocolate to show their love.3. She usually comes here on T_ _ _ _ _ _ _ and Wednesdays. 4. We never work on S_ _ _ _ _ _ _ and Sunday mornings. 5. Vietnamese Independence Day is on S_ _ _ _ _ _ _ _ 2nd. 6. W_ _ _ _ _ _ _ _ is the day between Tuesday and Thursday.7. Tomorrow is Wednesday, and the day after tomorrow is T_ _ _ _ _ _ _. 8. H_ _ _ _ _ _ _ _ is celebrated in some countries on October 31st of every year. 9. You can come home on F_ _ _ _ _ and Saturday this week. 10. I have to take my library books back before J_ _ _ _ _ _ 8th. 11. Our class meeting usually takes place on M_ _ _ _ 20th. Monday12. Children usually love the Mid - Autumn festival in my country. Its on A_ _ _ _ _ 15th.13. We will learn online on the first, the second and the t_ _ _ _ of next month and we learn off-line on the tenth.14. My husband was born on the s_ _ _ _ _ _ of July in New York, America. 15. People usually go to church with their family or friends on C_ _ _ _ _ _ _ _ Eve. 16. Vietnamese I_ _ _ _ _ _ _ _ _ _ _ Day is on the second of September. II. GRAMMARExercise 1: Put the verbs in brackets in the past simple tense.1. I .. English exercises last Sunday. (do)2. I... at 11 a.m. last weekend. (get up)3. I wanted to have breakfast, but there . any coffee or bread. (not be)4. I went to the shop, but I . my car keys. (not take)5. ........your meal good? No, it wasnt. (be)6. I tried to call my neighbor, but he . (not answer)7. I went to a caf and I had a coffee, but then I saw that I . any money. (not have)8. I went back to my flat, I broke the window to get in. I .. again after that. (not go out)9. Last year, my wife and I ..(go) to Cancun, in Mexico, for a weekend. We. (not take) our children. They..(stay) with their grandparents.10. When we got back home, the children (not be) happy. They .. (have) a great time with their grandparents and they (not want) to come home. Gamble Corporation had beginning inventory $100,000, cost of goods purchased $700,000, and ending inventory $140,000. What was Gamble's inventory turnover? Group of answer choices 5 times. 5.5 times. 5.83 times. 6.6 times. A jug is 80% full of water. After 360 millimeters of water are poured out, the jug is 60% filled with water. What is the capacity of the jug?15 POINTS!! En una granja hay 26 corrales con una capacidad para 68 gallinas cada uno. S cada gallina pone un huevo cada da cuntos huevos recolectan en una semana (7 das )? A 15 cm length of wire is moving perpendicularlythrough a magnetic field of strength 1.4 T at the rateof 0.12 m/s. What is the EMF induced in the wire?A. OVC. 0.025 vB. 0.018 VD. 2.5 V . Cho S l ngoi din ca khi nim con ngi, p(x,y) = x yu thng y.1) Vit cc phn on sau y di dng cng thc:a) Nhiu ngi yu thng A. (Thay A bng chnh tn ca em).b) A yu thng nhiu ngi. (Thay A bng chnh tn ca em). The molecular formula of water is H, O. What does it express please help!!!!! give reasons to why you would want to be a TV student and do flim!! You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.What is your new balance? Which method is best suited for separating a 500 mL sample of two miscible liquids whose boiling points differ by approximately 60C? A) use of a separators funnel B) paper chromatographyC) evaporation D) distillation E) fractional distillation What is the KE of a bird, mass 40g flying at 23m/s? Plz help..How to name alcohols... Evaluate (5.7x106 kg) * (6.3x10-2 m/s2) and express the answer inscientific notation. the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initial value problem for the population p(t) as a function of time is Part A: The area of a square is (9x2 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)Part B: The area of a rectangle is (25x2 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points) Select the correct answer from the drop-down menu. Consider this system of linear equations: y x = -13 -4x + 3y = -51 The solution of the system of equations is . 1. If you receive a traffic ticket and do not pay the fine on time or do not appear as required...A. OIt is OK, because your parents are responsibleB. You can pay when you have to re-register your carC. ODMV will suspend your driving privilege until you pay the fineD. You will go to jail