When a child flying a kite has let out 60 meters of string, the string makes an angle of 60 degrees. How high is the kite?

Answers

Answer 1

Answer:

The height is: [tex]h = 51.96cm[/tex]

Step-by-step explanation:

Given

[tex]L = 60m[/tex]

[tex]\theta = 60[/tex]

Required

The height of the kite

See attachment for illustration.

To calculate height (h), we have:

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

This gives

[tex]\sin(60) = \frac{h}{60}[/tex]

Make h the subject

[tex]h = 60 * \sin(60)[/tex]

[tex]h = 60 * 0.8660[/tex]

[tex]h = 51.96cm[/tex]

When A Child Flying A Kite Has Let Out 60 Meters Of String, The String Makes An Angle Of 60 Degrees.

Related Questions

PLS HELP :[
The graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.


A graph shows Number of Pepperoni Rolls on x-axis and Price of Pepperoni Rolls on y-axis. The x-axis scale is shown from 0 to 24 at increments of 4, and the y-axis scale is shown from 0 to 160 at increments of 20. A straight line joins the ordered pairs 4, 20 and 8, 40 and 12, 60 and 16, 80 and 20, 100 and 24, 120.

Kaiser Roll Packet

Number of Kaiser Roll Packet

Price of Kaiser Roll Packet (dollars)

4

24

8

48

12

72

16

96

How many dollars more is the price of a Kaiser roll packet than the price of a pepperoni roll at Luis's store? (1 point)


a

$1


b

$4


c

$5


d

$6

Answers

Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given is that the graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.

The price of a Kaiser roll packet = {C1} = (48 - 24)/(8 - 4) = 24/4 = 6

The price of a Kaiser roll  = {C2} = (40 - 20)/(8 - 4) = 20/4 = 5

$6 - $5 = 1

Therefore, Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.

To solve more questions on expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

Help me pls I’m struggling and I can’t solve it

Answers

The perimeter of the rectangle is  4y + 6 (cm).

How can the perimeter equation be found?

All four side lengths must be added up in order to get the perimeter, or the distance around the rectangle. Since there are two of each side length, it is simple to multiply the total of the length and the breadth by two in order to do this task effectively. The formula for perimeter is perimeter=(length Plus width)2.

The diagram shows a rectangle. All measurements are in centimetres  an expression in terms of y, for the perimeter of the rectangle.

The perimeter of the rectangle is

2(y+3)+24

=2y + 6 + 2y = 4y + 6 (cm)

{ the perimeter:

2 *  width + 2 * Length}

The perimeter of the rectangle is  4y + 6 (cm).

To learn more about perimeter refer to:

https://brainly.com/question/16389741

#SPJ1

PLEASE HELP I AM DESPERATE I WILL GIVE THANKS, 5 STARS, AND THE BRAINLIEST!!!

Answers

Answer:

g(-3) = 2

Step-by-step explanation:

g(x) = |x| - 1, x < 1        You would use this equation for finding g(-3). Since -3 is less than 1.

g(x) = |x| - 1, x < 1     ← You can ignore the x<1 part.

g(-3) = |-3| - 1            Input the value -3 as x. The absolute value of x is always  g(-3) = 3 - 1               positive.

g(-3) = 2                    Simplified

Next,

g(x) = x²- 10, 1 ≤ x ≤ 3     You would use this equation for finding g(3). Since 3 is equal to 3.

g(x) = x²- 10, 1 ≤ x ≤ 3  ← You can ignore the 1 ≤ x ≤ 3 part.

g(3) = (3)²- 10                   Input the value 3 as x.

g(3) = 9 - 10                     Simplify

g(3) = - 1

Then,

g(x) = [tex]\frac{1}{6}[/tex]x, x > 3          You would use this equation for finding g(6). Since 6 is greater than 3.

g(x) = [tex]\frac{1}{6}[/tex]x, x > 3     ←   You can ignore the x > 3 part.

g(6) = [tex]\frac{1}{6}[/tex](6)                  Input the value 6 as x.

g(6) = [tex]\frac{6}{6}[/tex]                      Simplify

g(6) = 1

Answer: g(-3) = 2 results in the largest value/output.

Find the value of x.
2x-8
6

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Angles opposite congruent sides in a triangle are congruent.

[tex]6=2x-8 \\ \\ 2x=14 \\ \\ x=7[/tex]

When writing a number in scientific notation, why is it always written "X 10 to a power"?

Answers

Answer:

Because that is how you move the decimal point multiplying by ten will move the decimal pin to and the power tells you how many times and the direction

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

Find the value of x.
Use statement and reason format.

Answers

By using properties for angles we can find and solve some linear equations, there we can see that x = 30°.

How to find the value of x?

Remember that the sum of the interior angles of a triangle must give 180°, and we also know that the angle defined by a line is 180°.

Let's define N as the angle located at vertex N of the right triangle in the left side, we then can write:

2x + 90° + N = 180°

And we also can write the linear equation:

105° + 45° + N = 180°

Solving this one, we can find the value of N.

N = 180° - 45° - 105°  =30°

N = 30°

Replacing that in the equation with x we will get:

2x + 90° + 30°  =180°

2x = 180° - 90° - 30°

2x = 60°

x = 60°/2 = 30°

The value of x is 30°.

Learn more about interior angles by reading:

https://brainly.com/question/24966296

#SPJ1

Solve this equation for x.
4x+3=5x-4

Answers

Answer:

Step-by-step explanation:

X=7

There answer will be 7

If £22 = 500 rubles, how many £ are in 864 rubles? Give your answer to 2 dp.​

Answers

Answer:

£ 38

Step-by-step explanation:

If you take 500 divided by 22 you get 22.7272727272 or if you round 22.73

Then you take 864 divided by 22.73 and get 38.0114386274 the you round to 2 decimal places and get 38

Hope this helps

GeneralGranato777

Use the number line to find the difference of 4 1/2-8

Answers

Using the number line, the difference between 4 1/2 and 8 will come to -31/2.

What is a number line?

A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

Subtraction on a number line makes it much easier to subtract smaller values. When subtracting numbers from a number line, we must leap (move) to the left side of the number line.

Thus, moving to the left, 8 times from 4.5 will help us arrive at -3.5. See attached Number line.

Learn more about Number Line:
https://brainly.com/question/13425491
#SPJ1

Eddie is reading a novel for English class. He read 173 out of 480 pages. About what percent of the book has he read? Round to the nearest whole number.

Answers

Answer:

the answer would be 36.04,

Step-by-step explanation:

im gonna just leave this blank

find the perimeter (p) of a rectangle with a length (1) of 12m and a width (w) of 8.4m using the formula p=21+2w

Answers

Answer:

The answer is 40.8 m.

Step-by-step explanation:

To find the perimeter of the rectangle, use the formula P= 2([tex]l[/tex])+ 2([tex]w[/tex]). Plug in the information given in the question, and the equation will look like

P= 2(12m) + 2(8.4m)

Solve the equation, and the final answer will be 40.8 m.

In the figure below the measure of arc AD = 110∘. What is the measure of ∠A in degrees? (4 points) 55 90 70 35

Answers

Answer:

35

Step-by-step explanation:

180 - 110 = 70

Arc DB= 70

70 / 2 = 35

How do you solve a linear equation step by step?

Answers

Linear equations are mathematical equations that involve one or more variables. These equations can be solved by following a few simple steps:

How to solve linear equations

Identify the constant and the coefficient of the variable.Use the coefficient to divide both sides of the equation by the same number.Subtract the constant from both sides of the equation.Divide both sides of the equation by the coefficient of the variable.Check your solution by substituting it back into the original equation.

Linear equations can be used to solve a wide range of mathematical problems and are an essential part of any mathematics curriculum.

Learn more about equations: https://brainly.com/question/22688504

#SPJ4

Coroline runs 3 1/2 miles in 22 1/4 minutes how many miles does she run per minute

Answers

Answer:

To determine the number of miles Coroline runs per minute, we need to first convert the distance she runs to a fraction of a mile and the time it takes her to run that distance to a fraction of an hour.

3 1/2 miles is equivalent to 3 + 1/2 = 3 + 1/(2*1) = 7/2 miles.

22 1/4 minutes is equivalent to 22 + 1/4 = 22 + 1/(4*1) = 23/4 minutes.

To convert the time to hours, we can divide the number of minutes by the number of minutes per hour. There are 60 minutes per hour, so we have:

23/4 minutes / (60 minutes/hour) = (23/4) / (60/4) = 23/60 hours

To determine the number of miles Coroline runs per minute, we can divide the distance she runs by the time it takes her to run that distance:

(7/2 miles) / (23/60 hours) = (7/2) / (23/60) = (760) / (223) = 420/46

Simplifying, we have:

420/46 = 9 1/23

Therefore, Coroline runs approximately 9 1/23 miles per minute.

Step-by-step explanation:

Answer:

she runs 0.078 miles  per minute.

Step-by-step explanation:

A refrigerator is priced at $3,800 plus value-added tax at 15%. What amount does the refrigerator actually cost the customer?

Answers

Answer: 3800 + 15% =.....DUN DUN DUNNNN 3.800.15

Step-by-step explanation:

Which of the following is equivalent to (X - 2) (x + 9) =0

Answers

The equivalent quadratic equation to  (x - 2)(x + 9) = 0 is x² + 7x - 18 = 0.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know if α and β are the roots of a quadratic equation ax² + bx + c = 0,

Then we can construct the equation by the factors (x - α)(x - β).

Given, We have to construct a quadratic equation with (x - 2)(x + 9) = 0.

Now, Multiply the terms we have,

x² + 9x - 2x - 18 = 0.

x² + 7x - 18 = 0.

So, Our required quadratic equation is x² + 7x - 18 = 0.

learn more about forming of quadratic equations here :

https://brainly.com/question/29011747

#SPJ1

NEED HELP ASAP
Find the approximate area of a triangle that has vertices at A(-4, 2), B(6, 4) and C(3,-1).

Answers

Answer:

I need more to the question so I can answer it

Step-by-step explanation:

5. Step 4: Convert the number into decimal form rounded to the
nearest thousandth.

6.28=

O 6.284
O 6.280
O 6.283
O 6.282

Answers

Answer: 6.280

Step-by-step explanation:

a cylinder has a volume of 24 cubic feet, what is the equation on how to find the volume?

Answers

The equation on how to find the volume is πr²h = 24

How to determine the equation on how to find the volume?

From the question, we have the following parameters that can be used in our computation:

Volume = 24 cubic feet

The volume of a cylinder can be calculated as

Volume = πr²h

Where

r = radius

h = height

Substitute the known values in the above equation, so, we have the following representation

πr²h = 24

Hence, the equation is πr²h = 24

Read more about volume at

https://brainly.com/question/463363

#SPJ1

A newsletter publisher believes that more than 47% of their readers own a personal computer. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?

Answers

There is no sufficient evidence that we can use in order to substantiate the claim of the publisher,

How to write the hypothesis

The null hypothesis H0: p = 0.47

The alternative hypothesis is H1: p > 0.47

The question requires us to test the fact that more than 47 percent of the readers have their own personal computer. This is therefore the claim that is to be tested here.

There is no sufficient evidence to substantiate the claim because of the lack of certain details that would have been used to carry out the hypothesis test.

Read more on hypothesis testing here: https://brainly.com/question/4232174

#SPJ1

2, 3, -4, -6, -8
From the list of numbers, write down:
(a) three numbers whose sum is -12
(b) two numbers whose product is -24

Answers

I believe this is correct.

A is: -4, -6, 2

B is: -4, 6

I need some help on the "round to the next period" part. What exactly is the answer then? Thank you!

Answers

The time period it will take a principal of $25000 to grow int $28500 at a rate of 4% is approximately 3 years

What is Compound Interest

Compound interest is the interest that is calculated on the initial principal and also on the accumulated interest of previous periods. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest.

In the given question, our data is;

P = 25,000r = 4% = 0.04A = 28,500n = ?x = semi-annually = 2

The formula is given as

A = P(1 + r/n)^nx

The given expression is

m(n) = 25000(1 + 0.04/ 2)^2n

m(n) = 28500

28500 = 25000(1 + 0.04 / 2)^2n

Solving for n,

n = 3.3

n ≈ 3


Learn more on compound interest here;

https://brainly.com/question/3989769

#SPJ1

Here is the other one.................

Answers

Answer:

2+2sec2∅tan²∅-sec⁴∅-tan⁴∅2+2sec2∅tan²∅-sec⁴∅-tan⁴∅)2-(sec⁴∅-2sec∅tan∅+tan⁴∅)2-(sec²∅-tan²∅)²2-(1)²1 is a required answer.

[Note sec²x-tan²x=1]

2x3x5 is equivalent to which number below​

Answers

Answer:

180

Step-by-step explanation:

2 squared is 4

3 squared is 9

4 x 9 x 5 = 180

PROBLEMA DE NUMEROS ENTEROS : Un buzo se encuentra a 4000 metros de profundidad. ¿Si desciende 2000 metros para atrapar mantarrayas, a que profundidad del nivel del mar se encuentra?

Answers

Answer:

Tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.

Step-by-step explanation:

Dado que un buzo se encuentra a 4000 metros de profundidad, si desciende 2000 metros para atrapar mantarrayas, para determinar a que profundidad del nivel del mar se encuentra se debe realizar el siguiente cálculo:

4000 - 2000 = X

6000 = X

Por lo tanto, tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.

HELP PLEASE AND THANKYOU

Answers

Answer:

one half of a cup. it is written as a half as 1/2. :)

1/2 of a cup I think

A company has two manufacturing plants with daily production levels of 5x +14 items and 3x - 5 items, respectively. The first plant produces how many more items daily than the second​ plant?

Answers

Answer:

21x

Step-by-step explanation:

5x+14=19x

3x-5=-2x

-2x-19x=21x

Need answer for b)iii)

Answers

Answer:

3.23, -1.23

Step-by-step explanation:

Draw the line y=1

See where it intersects x^2-2x-3

The x coordinates of the intersections are your answer

Hello can someone help me with this please

Answers

Answer:

Below

Step-by-step explanation:

x - 6 = 12      add 6 to both sides of the equation

x - 6 + 6 = 12 + 6     simplify

x = 18

3x-1 = 11        add  1  to both sides of the equation

3x -1 + 1 = 11 + 1

3x = 12          now divide both sides by 3

3x/3 = 12 / 3   simplify

x = 4

Awatch which loses a half a minute was set to read the correct time at 0445h on Monday. determine the time in 12 hour clock system,the watch will show on the following Friday at 1845h

Answers

The Correct answer is 5.50 p.m

Explanation

Time between Monday 0445h and Friday 1845h

= 4 x 24 + 14 = 110h

Time lost = 0.5 x 110

= 55min

Time shown in 12 hour system

1845 – 55 = 1750 h

= 5.50 p.m

What is a 12-hour Clock system?

On an analogue clock, the 12-hour clock is most frequently displayed as the digits 1 through 12; on a digital clock, it is typically followed by either a.m. (ante meridiem, Latin for "before noon") or p.m. (post meridiem, Latin for "after noon").

What is a 24-hour Clock system?

Digital clocks are more frequently used to display the 24-hour clock, which is printed in a 4-digit format with the first two numbers denoting the hour and the final two denoting the minutes.

No need for a.m. or p.m. is necessary because each time represents one of the 24 hours in a day. For instance, 0300 is the third hour of the day, or 3am; 1400 is the fourteenth hour of the day, or 2pm; and 1830 is the thirty-minute mark after the eighteenth hour of the day, or 6.30pm.

How can we change 12-hour time format into a 24-hour clock format?

Children can be taught to add 12 to the hours after noon in order to change a 12-hour clock to a 24-hour one. For instance, 3pm becomes 15:00 since 3 + 12 = 15.

To know more Related How determine the time in 12 hour clock system refer to:

https://brainly.com/question/28269175

#SPJ1

The time shown on 19:45h Fridays is 06: 55 pm Friday.

What is meant by clock system?

A collection of synchronized clocks that can communicate with one another and display the exact same time every single time is known as a clock network or clock system. A constant pulse known as a system clock or system timer aids the computer clock in maintaining accurate time. It keeps track of how many seconds have passed since the epoch and utilizes that information to determine the current date and time.

A piece of electronic equipment inside a computer that continuously emits a high-frequency signal to keep everything in sync. electrical gadget type. a piece of equipment that operates electronically. a computerized time-of-day clock.

Given: Watch loses = 1/2 minute every hour

Time difference = 19: 45 h Friday - US:45 h Monday

=4 days 14 hours

=24 × 4+14 hours

=96+14

=110 hours

Time lost [tex]$= & 144^{55} \times \frac{1}{2} \mathrm{~min} \\[/tex]

= 55 min

Time shown on 19:45h Fridays

= 19: 45 - 0: 55

= 18: 55 h Friday

= 06: 55 pm Friday

Hence, 06: 55 pm Friday

To learn more about clock system refer to;

https://brainly.com/question/28269175

#SPJ1

Other Questions
I need help with my history homework please !! The frequency of a wave does not change as it passes from one medium to another.What will most likely happen if a light wave moves from the air into a solid?A. The wavelength of the light wave will increase.B. The speed of the light wave will decrease.C. The wavelength of the light wave will remain the same.D. The speed of the light wave will remain the same. Given that $13^{-1} \equiv 29 \pmod{47}$, find $34^{-1} \pmod{47}$, as a residue modulo 47. (Give a number between 0 and 46, inclusive.) A horizontal curve is being designed around a pond with a tangent length of 1200 ft and a central angle of 29.86 degrees. If the PI is at station 105 00, determine the station of PT Sarah thinks that the number of worms on the sidewalk in front of her house increases after a rainfall. Which would be the best way to test her prediction? manatee.schoology.comEOC Review #2.If another line is perpendicular to the lineshown on the graph, what must be its slope?A.B.NI UN NIINC.D.OBOD Please help ........,. Should government try to prevent the causes that led to the Great Depression? The data set that lists the number of performances for each Broadway show in 2017 would be classified as what type of data? If you need to measure the length of a run of pipe from a house to the water main on the street using metric system, which of the following units would you likely use? A. Centimeters, B. Kilometers, C. Metics D. Millimeters In two to three paragraphs, explain what caused the end of the Cold War The Cessna Cardinal, a single-engine light plane, has a wing with an area of 16. 2 m^2, and an aspect ratio of 7. 31. Assume the span efficiency factor is 0. 62. A. If the airplane is flying at standard sea-level conditions with velocity of 251 km/h, what is the induced drag when the total weight is 9800N b. Calculate the induced drag when the When a real estate loan uses both real and personal property as collateral for the loan it is called a (an) Which of the following strategies should be used by companies to minimize sex discrimination? a) Pairing promising fernale executives for mentoring. b) Excluding women from male dominated Social activities. c) Employing more male managers to train and supervise female employees. d) Creating work teams consisting of female employees explain why the data display is misleading. JUST THE TOP TWO PLEASE ASAP HELPThis question is about acids and bases.What is the pH of sulfuric acid?Tick () one box.1714 QUESTION 9PLEASE HELP PLEASE . Because of their belief in Karma, Hindus believe that the Untouchables(Dalits) deserve to be in their caste due to actions or deeds in a past life.TrueFalse In "With a Little Help From My Friends," how did the Dumas family respond to the realization that most Americans thought Iran was the country they hadseen in the movie Lawrence of Arabia?OA They asked their neighbors to explain what happens in the movie.OB. They explained that Iranians were an Indo-European people, not Arabs.OC. They congratulated their friends for seeing a movie about a great IranianOD. They complained that the movie inaccurately presented them as a rural people. name the solid ?m# of faces ?# of edges? # of vertices?whats the height ?