Find the cosθ if an angle is in standard position and the point with coordinates (7,24) lies on the terminal side of an angle.

Answers

Answer 1

Answer:

0.28

Step-by-step explanation:

Angles in standard position are angles with the initial side on the positive x-axis.

Since (7,24) lies on the terminal side of an angle, hence the line passing through the origin and point (7, 24) forms an angle with the x axis.

The slope of the line passing through the origin (0, 0) and the point (7, 24) is given by:

[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{24-0}{7-0}\\\\m=\frac{24}{7 }[/tex]

The angle θ between a straight line and the x axis is:

tanθ = m

where m is the slope of the line.

Let θ be the angle between the line with a slope of 24/7 and the x axis, therefore:

tanθ = 24 / 7

θ = tan⁻¹(24/7)

θ = 73.74°

cosθ = cos(73.74°) = 0.28


Related Questions

2(1/4d)+d=96 answer is possibly 64 is that correct?

Answers

Answer:

64

Step-by-step explanation:

2x(1/4 d)+d=96 (Rewrite the expression)

2x1/4d+d=96 (Reduce the numbers)

1/2d+d=96(Calculate)

3/2d=96 (Multiply both sides)

d=64

The perimeter of a certain scalene triangle is 100 inches. The side lengths

of the triangle are represented by 5x, 3x+30, and 2x+10, respectively. What

is the length, in inches, of the longest side of the triangle?

6

22

30

48

72

Answers

Answer:

Step-by-step explanation:

Perimeter =100

the lengths of the sides are 5x+3x+30x+2x+10

5x+3x+30+2x+10=100

10x=100-40

10x=60

x=6

one side is 5x=30

one side 18+30=48

one side 2x+10=12+10=22

the longest side is 48

Longest side of triangle is 48 inches

Given information:

Perimeter of triangle = 100 inches

First side of triangle = 5x

Second side of triangle = 3x + 30

Third side of triangle = 2x + 10

Find:

Length in inches and longest side of the triangle

Computation:

Perimeter of triangle = Sum of all sides

So,

5x + (3x + 30) + (2x + 10) = 100

10x + 40 = 100

10x = 60

x = 10

So,

First side of triangle = 5x = 5(6)

First side of triangle = 30 inches

Second side of triangle = 3x + 30 = 3(6) + 30

Second side of triangle = 48 inches

Third side of triangle = 2x + 10 = 2(6) + 10

Third side of triangle = 22 inches

Longest side of triangle is 48 inches

Learn more:

https://brainly.com/question/2773823?referrer=searchResults


Trey travels 10 yards on his motorcycle every 4 seconds. Based on this ratio, how many seconds does it take Trey to travel 50 yards?

Answers

Answer:

20 seconds

Step-by-step explanation:

Solve for x:

-2.3(x + 1.5) = -10.35

Question 2 options:

x = -6


x = -3


x = 3


x = 6

Answers

Answer:

-6

Step-by-step explanation:

there is a negative so it's a negative number you add the equation you divide the answer by 2 then you get your answer.

Point A is the pre-image of a vertex of a square and is located at (-10, 8). The square is dilated with the center of dilation at the origin. Point A' is the image and us located at (-7, 6). What is the scale factor of the dilation?

Answers

Answer:

when no one answers ur question

Step-by-step explanation

Answer:

2.5

Step-by-step explanation:

help me i dont understand lol

Answers

I don't want to helo you cheat since it's a quiz, but just try to think literally. Look at the picture and you'll see which one makes sense. Ask each point and identify where they land.

Answer:
Point D

Explanation:
Point D intersects both lines.

Find the measure of the indicated angle to the nearest degree (whole number).
39
36
15

Answers

Answer:

I think 39

Step-by-step explanation:

I GIVVEEE BRAINLILSTTT

Answers

The answer is (3, -5). I hope this helped

please let me know if these are right or wrong!! 20 points!!

Answers

Answer: I believe they are all correct

Step-by-step explanation:

What is the area of the pentagon shown? 16 cm 15 cm 18 cm 20 cm 360 cm2 354 cm2 300 cm2 297 cm2​

Answers

U need upload the image

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

I would say two cupsssssss

Which list includes all of the factors of 24?

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

0,1,2, 3, 4, 6, 8, 12

12, 24, 48, 96

1, 2, 3, 4, 6, 8, 12, 24

Answers

Answer:

0 1 2 3 4 6 8 12 24

Step-by-step explanation:

factors of 24

The answer is 0,1,2,3,4,6,8,12

If labor costs were $3,000,000 last year and $2,700,000 this year, what percentage decrease was achieved?


A. 3%

B. 7%

C. 10%

D. 30%

Answers

The answer is C. 10%

3/4
7. Find the difference of the following fractions.
3
(a) 45-23
(b) 52-4
10 10
5 5
2
(C) 3
6 5
4
9
7
b
9
7​

Answers

Answer:

Step-by-step explanation:

bhnnj

What is 1/4 of 12????????

Answers

Answer:

3

Step-by-step explanation:

12 divided by 4 is 3. Therefor 1/4 of 12 is 3.

Answer:

3

Step-by-step explanation:

Do 12 times .25!

Hope this helps and have a great day!

Card 3 of 7
6.2.15 Practice 3
Last month, there were 4 sunny days for every rainy day.
1. If there were 30 days in the month, how many days were rainy?
Type the answer in the box below.
rainy days
How do I get the answer

Answers

Answer:

Step-by-step explanation7:

Answer:

the answer is 26

Step-by-step explanation:

hope that helped because 30-4

Determine the values of the unlabeled parts of the triangle.

OA) ZQ = 63.4°, PQ = 1.84, QO = 4.47

OB) ZQ = 26.6°, PQ = 2, QO = 5.12

OC) ZQ = 63.4º, PQ = 2, QO = 4.47

D)

ZQ = 63.4°, PQ = 1.84, QO = 5.12

Answers

Answer:

∠Q = 63.4º, PQ = 2, QO = 4.47

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

Triangle POQ is a right angled triangle because ∠P = 90°. Also, ∠O = 26.6°.

Therefore in ΔPOQ: ∠P + ∠O + ∠Q = 180° (sum of angles in a triangle).

90 + 26.6 + ∠Q = 180

∠Q + 116.6 = 180

∠Q = 180 - 116

∠Q = 63.4°

We can find PQ and QO using sine rule. Sine rule for ΔPOQ is given as:

[tex]\frac{PO}{sin Q}= \frac{PQ}{sinO}= \frac{QO}{sin P}\\\\Finding\ PQ :\\\\\frac{PO}{sin Q}= \frac{PQ}{sinO}\\\\\frac{4}{sin(63.4)} =\frac{PQ}{sin(26.6)}\\\\PQ= \frac{4}{sin(63.4)} *sin(26.6)\\\\PQ = 2\\\\Also\ finding\ QO:\\\\\frac{PO}{sin Q}= \frac{QO}{sinP}\\\\\frac{4}{sin(63.4)} =\frac{QO}{sin(90)}\\\\QO=\frac{4}{sin(63.4)} *sin(90)\\\\QO = 4.47[/tex]

is y= -6x proportional?

Answers

Answer:

yes

Step-by-step explanation:

please help this assignment is due today

Answers

Answer:

b

Step-by-step explanation:

Answer:

A: 19/24

Step-by-step explanation:

Justin biked the same distance every day in the park after school. On Saturday he biked an additional 9 miles, and on Sunday he biked another 12 miles. If Justin biked a total of 86 miles in the 7-day period, how far did he bike each day after school?

Answers

Answer: 13 miles

Explanation: 86 - 9 (Saturday) = 77
77 - 12 (Sunday) = 65
65 / 5 (weekdays) = 13

Only do 14 please help asap 65 points

Answers

A part is the answer.

please mark me brainliest and follow me my friend.

1. The function f(x)=-3-2 has a domain of the following values {0,4,-1}. Show the domain and range in the mapping diagram below.

2. For what values of x, would not be in the domain of the function y= ⟌ x+4?
A. X=0
B. X=5
C. X=-3
D. X=-8
Explain:

(Plz help me T_T)

Answers

i believe it would be b

Directions: Find the weekly totals and the wages for each employee.

Nicole parks cars. She earns $9.75 per hour plus 10% of the parking fees that are

collected. If the total fees during a 5-hour shift are $360, how much does Nicole

earn?

Answers

Answer:

$84.75

Step-by-step explanation:

Given that  she earns $9.75 per hour plus 10% of the parking fees that are  collected, her  income is of 2 folds; an hourly rate and an amount collected based rate.

If the shift is for 5 hours, her income based on

Hourly rate = 5 * $9.75

= $48.75

The amount collected based rate

= 10% * $360

= 10/100 * $360

= $36

Her total earnings will be

= $48.75 + $36

= $84.75

Identify the domain and range, then evaluate each function for the given value of x.

(I do not need much help for the domain and range but mostly the "Find f(5)"​

Answers

Answer:

See below

Step-by-step explanation:

Domains are the first values and range are the second values given in the brackets.

Domain = {10, - 2, 5, 3}

Range = {7, 4, 3, 10}

I the third bracket, at x = 5, y is 3.

So,

f(5) = 3

Please answer this correctly without making mistakes I want experts and ace people to answer this correctly without making mistakes

Divide. Write your answer using the smallest numbers possible.

9,185 miles 380 yards divided by 4,590

Answers

9514 1404 393

Answer:

  2 miles 2 yards

Step-by-step explanation:

There are 1760 yards in a mile, so you are effectively performing the division ...

  (9185 380/1760) ÷ 4590

where the number in parentheses is a mixed number of miles.

You do this division the same way you do any mixed-number division. There are different possible methods you can use. One of them is to convert the mixed number to an improper fraction, then divide.

  9185 380/1760 = 9185 19/88 = (88·9185 +19)/88 = 808299/88

Then this is divided in the usual way:

  [tex]\dfrac{808299}{88}\div4590=\dfrac{808299}{88\cdot4590}=\dfrac{808299}{403920}=2\dfrac{459}{403920}=2\dfrac{1}{880}[/tex]

Finding the quotient and remainder is straightforward. Reducing the fraction involves finding common factors in the numerator and denominator. As it turns out, 459 is a factor of 403920, so the fraction reduces as shown.

Now, we need to convert 1/880 miles back to yards.

  ((1/880) mi) × (1760 yd/mi) = 2 yd

So, the quotient you seek is ...

  2 miles 2 yards

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

4y+5x is ur equation for your linear line

4y+5x is your answer ❤️❗️✅❗️

Been looking for answers all day. Please.

Answers

Answer:88

Step-by-step explanation:

In 2010, the government took out 6.2% of earnings for Social Security to a maximum taxable income of $106,800. For Medicare, 1.45% of earnings was paid. How much money would someone have to have earned in 2010 so that their payments into Medicare were equal to their payments into Social Security?

Answers

9514 1404 393

Answer:

  $456,662

Step-by-step explanation:

The amount paid to Social Security is a maximum of ...

  6.2% × $106,800 = 6,621.60

If we want an equal amount paid to Medicare, we want ...

  1.45% × earnings = $6,621.60

  earnings = $6,621.60/0.0145 ≈ $456,662

Someone would have to earn $456,662 so that their Social Security and Medicare payments were equal.

please help me out, i will mark your answer (if it’s correct) as a brainiest:)

Answers

Answer:

1. 5IN = 9 OUT

2. -3 IN= -7 OUT

3. 4 IN = 7 OUT

4. -9 IN = -20 OUT

Step-by-step explanation:

Jenna made 10 cookies on blah buster day. She ate one of them her brother 0.2o f the cookies her little sister ate 1/5 of them how many cookies were left

Answers

Answer:

Jenna has 6 and 4/5 cookies left.

Step-by-step explanation:

Jenna starts with 10 cookies. She eats 1, her brother eats 2, and her little sister eats 1/5. If you add up all the cookies they ate. that would be 3 1/5 cookies they ate. So, 6 and 4/5 cookies are left.

ps. give me brainliest pls

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