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?

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

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

Answer:

the answer would be 36.04,

Step-by-step explanation:

im gonna just leave this blank

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:

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

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

Answer:

21x

Step-by-step explanation:

5x+14=19x

3x-5=-2x

-2x-19x=21x

Answer: 6.280

Step-by-step explanation:

Answer:

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

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]

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

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

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

Step-by-step explanation:

I believe this is correct.

A is: -4, -6, 2

B is: -4, 6

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

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

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:

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

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.

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

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

The Correct answer is 5.50 p.m

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

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").

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.

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.

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

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.

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

Answer:

Step-by-step explanation:

X=7

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

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

Answer:

[Note sec²x-tan²x=1]

Answer:

180

Step-by-step explanation:

2 squared is 4

3 squared is 9

4 x 9 x 5 = 180

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.

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

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

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

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

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

Answer:

35

Step-by-step explanation:

180 - 110 = 70

Arc DB= 70

70 / 2 = 35

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

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;

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

Answer:

I need more to the question so I can answer it

Step-by-step explanation: