A boy is flying two kites at the same time. He has 450 ft of line out to one kite and 390 ft to the other. He estimates the angle between the two lines to be 34 degrees. Approximate the distance between the kites.

Answers

Answer 1

Answer:

[tex]C=252.2ft[/tex]

Step-by-step explanation:

From the question we are told that:

First Kite Distance [tex]A=450ft[/tex]

Second Kite Distance [tex]B=390ft[/tex]

Angle [tex]\theta=34\textdegree[/tex]

Generally the equation for Distance X between the kites is mathematically given by

Using Cosine Rule

 [tex]C^2=A^2+B^2-2abCos \theta[/tex]

Therefore

 [tex]C^2=(450)^2+(390)^2-2(450)(390)Cos 34[/tex]

 [tex]C^2=63607.81[/tex]

 [tex]C=\sqrt(63607.81)[/tex]

 [tex]C=252.2ft[/tex]


Related Questions

Are M, N, and O collinear? If so, name the line on which they lie.

Answers

Answer:

Yes, they lie on the line NP

Answer:

they lie in the line MO

Step-by-step explanation:

Find QR.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

QR = ___​

Answers

Answer:

Step-by-step explanation:

take 64 degree as reference angle

using cos rule

cos 64=adjacent/hypotemuse

0.43=QR/10

10*0.43=QR

4.3=QR

if c. p =rs 100, profit =rs 5, then find profit percent​

Answers

Answer:Profit Percent =5%

Step-by-step explanation:

Profit Percent is calculated as =Profit / Cost price x 100

Given that Profit=rs 5

Cost price =rs 100

Profit Percent =rs 5/rs 100 x 100

Profit Percent =5%

2x^+7x - 15= 0 If r and s are two solutions of the equation above and r > s which of the following is the value of r-s?

Answers

Answer:

6.5

Step-by-step explanation:

You failed to include the choices

Distribute
-3/7 (21x - 7)

Answers

Answer:

-9x+3

Step-by-step explanation:

See the steps below:)

Find the length of the third side. If necessary, write in simplest radical form. 7 V15​

Answers

The awnser is 4.9 or 5 here’s the steps to show

Help me please i need to hand this in

Answers

The answer is C

Hope this helps

Joey wants to read 2,000 pages by the end of the summer. He has already read 1,250 pages. The rest of his reading will be spread over 5 weeks, and Joey wants to read the same number of pages each week. How many pages will he need to read each week?

Answers

Answer:

150 pages

Step-by-step explanation:

want to read 2,000 pages

already read 1,250 pages

Number of pages left to read

= 2000-1250

= 750

Rest of the reading spread over 5 weeks

wants to read same number of pages each week

Number of pages that need to be read each week over 5 weeks

= Number of pages left to read / total number of weeks

=750 / 5

= 150

He will need to read 150 pages a week.

Parker is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, spins a spinner with three equal-sized sections labeled Walk, Run, Stop, and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?

Answers

Answer:60

Step-by-step explanation:

4*3*5

Help!!!!!!!Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Step-by-step explanation:

cos x = 59/95

x = 0.9007

round this and you have your answer

Umm i could use so help :)
If you don't mind
i think it's 16+88 but i was wondering what someone else thought.

Answers

Answer: I think your answer is right

Step-by-step explanation:

Marley has marbles of the same size and shape in a bag. There are 2 green, 5
blue, and 3 red marbles in the bag. Marley picks two marbles without looking.
What is the probability he will pick two red marbles?

a) 3/15

b)1/15

c) 3/50

d) 1/4

Answers

Answer:

B.) 1/15

Step-by-step explanation:

10 total marbles3/10 - 1/1 = 2/93/10 × 2/9 = 1/15

Suppose customers arrive at a single-server ice cream parlor times 3, 6, 15, and 17. Further suppose that it takes the server 7, 9, 6, and 8 minutes, respectively, to serve the four customers. When does customer 4 leave the shoppe

Answers

9514 1404 393

Answer:

  time 33

Step-by-step explanation:

The first customer arrives at time 3, and is finished being served at time 3+7 = 10.

The second customer arrives at time 6, so waits until time 10 to be served. The second customer is finished being served at time 10+9 = 19.

The third and fourth customers arrive at times 15 and 17. The third customer waits until time 19 to be served, and is finished being served at time 19+6 = 25.

The fourth customer waits until time 25 to be served, and is finished being served at time 25+8 = 33.

The fourth customer leaves at time 33.

girlcome 5324611502
p:1234​

Answers

Answer:

Hi there! Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

PLEASE HURRY

Tameron rolls a 6-sided die 3 times.
What is the probability that he rolls a 5 on every roll?

A. 1/216
B. 3/216
C. 1/64
D. 3/64

Answers

Answers:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Let 0 be an angle such that sec0= -13/12 and cot0<0. Find the exact values of tan0 and sin0.

Answers

Answer:

tan 0 = -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-[tex]\frac{13}{12}[/tex]

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]

cosθ=[tex]\frac{12}{13}[/tex]

[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]

b=12

h=13

By using Pythagoras law

p=[tex] \sqrt{13²-12²}=5 [/tex]

Now

exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]

since it lies in II quadrant

tan θ=-[tex]\frac{5}{12}[/tex]

and

sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]

since it lies in II quadrant

sin θ=[tex]\frac{5}{13}[/tex]

The table represents the balance of Fernando’s loan, y, over a period several months, x. He used technology to create the scatter plot shown and determine the best fit equation to model the data: y = -440.91x + 22,060.70. Determine how long it will take to reach the given balances.

Answers

Answer:

The balance of the loan will be approximately $15,000. - Month 16

The balance of the loan will reach $0. -  Month 50

What is the y-intercept of the Line y=3/4x + 2

Answers

Answer:

Step-by-step explanation:

Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.

1) Whose stone hit the water second, and at what time?


2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?


3) Who had the higher initial height? What was it?

Answers

Answer:

that can't be the right graph because it is not purple and black or has the right information needed to answer this question

Step-by-step explanation:

Is there a graph that goes with this question?

I really want to help but this is not it

Please explain it ASAP

Answers

Answer:

sorry but i don't understand the question

A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. It alse has 5 white marbles numbered 100, 200, 300, 400, and 500. A marble is drawn at random from the jar. Find the probability of the given event.

Answers

Answer:

Probability of red marbles = 8/25

Step-by-step explanation:

Complete question

A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. It alse has 5 white marbles numbered 100, 200, 300, 400, and 500. A marble is drawn at random from the jar. Find the probability of the given event.

a) The marble is red

Total number of marbles = 8+12+5 = 25

Probability of red marbles = total number of red marbles/Total marbles

Probability of red marbles = 8/25

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal. If we wanted to limit the margin of error of a 95% con dence interval to 2%, about how many Americans would we need to survey?

Answers

Answer: we need to survey 2285 Americans.

Step-by-step explanation:

When population proportion (p) is known, then the formula to evaluate the sample size( minimum) is given by :-

[tex]n=p(1-p)(\frac{z^*}{E})^2[/tex], where E = margin of error , z* = critical z-value.

Given: p= 0.61, E=0.02, Critical z value for 95% = 1.96

Required sample size: [tex]n=(\frac{1.96}{0.02})^2(0.61)(1-0.61)[/tex]

[tex]=(98)^2(0.61)(0.39)\\\\=9604(0.61)(0.39)\\\\\approx$$2285[/tex]

Hence, we need to survey 2285 Americans.

Factorise fully 12x + 18y

Answers

Answer:

6(2x + 3y)

Step-by-step explanation:

6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.

The factorize form of the expression  12x + 18y is 6(2x+3y)

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  12x + 18y

Twelve times of x plus eighteen times of y

x and y are the variables in the expression

Let us factorize the expression

The Gcd of 12 and 18 is 6

So take 6 as common from the expression

6(2x+3y)

Hence, the factorize form of the expression  12x + 18y is 6(2x+3y)

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Give y intercepts and x intercepts as shown

Answers

Answer:

x-intercept (-3;0) and (1;0)

y-intercept (0;1)

If 4, m & 9 are in continued proportion. Find the value of m.​

Answers

Answer:

M =6

Step-by-step explanation:

T2/T1=T3/T2

M/4=9/m

M^2=36

M=+ or - 6

As m is continued ignore - 6

Then get m =6


What is the distance from the origin to point A graphed on the complex plane below?

Answers

I’m pretty sure it’s b!

Correct me if I’m wrong
Have a nice day!

Answer:

B

Step-by-step explanation:

Edge

Sam started a dog-walking business. He charges $5 for each dog for a thirty-minute walk. How much dor
Sam carn per hour walking just one dog?

Christie sells lemonade in her driveway. She spends $20 for supplies: lemons, sugar, and cups. With these
upplies, she can make enough lemonade to sell 100 cups of lemonade. If she charges a quarter per cup,
ow much profit will she make?

Answers

Answer: [tex]\$10,\ \$5[/tex]

Step-by-step explanation:

(a) Given

Sam charge $5 for each dog for a thirty minute walk

For an hour which is double the thirty minutes, it must be double of the same charge.

[tex]\Rightarrow 2\times 5=\$10[/tex]

(b)Given

With $20, Christie sells 100 cups of lemonade with a quarter per cup charge

For 100 cup, she generate a revenue of

[tex]\Rightarrow \dfrac{1}{4}\times 100\\\\\Rightarrow \$25[/tex]

So, she earns [tex]25-20=\$5[/tex] that is , her profit is [tex]\$5[/tex]

please Help! Urgent!!

Answers

Answer:

Step-by-step explanation:

= [tex] ( {p}^{ \frac{1}{2} } )^{3} \times \sqrt{p ^{6} } [/tex]

= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ \frac{1}{2} × 6} } [/tex]

= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ 3} } [/tex]

= [tex] ( {p})^{ \frac{3}{2} + 3} [/tex]

= [tex] ( {p})^{ \frac{3 + 3}{2}} [/tex]

= [tex] ( {p})^{ \frac{9}{2}} [/tex]

What is the equation in slope-intercept form of the
line that passes through the points (-4,2) and
(12, 6)?

Answers

!hope this helps!!!!!

Someone, please help I will crown brainliest

Answers

Answer:

6

Step-by-step explanation:

Y=-x+7

Y=-1+7

Y=6

The answer is think is 6
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