a boy flies a kite with a 100 foot long string. the angle of elevation of the string is 48 degrees. how high is the kite from the ground?

The coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.

The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the out trace.

The general form of the equation of the circle is given as:-

(  x  - h )²  +  (  y  -  k )²  =  r²

We have an equation:-

x²  +  y²  -  6y  +  1  =   0

x²  +  y²  -  6y  +  9  -  9  +  1  =   0

( x  -  0 )²  +  (  y  -  3 )²  =  8

By comparing the equation from the standard form we will get the centre ( 0,3) and the radius r = 2√2.

Therefore the coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.

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Answer:

The equation of the line that is parallel to the given is equal to the expressions below:

[tex]\displaystyle \boxed{ y = -0.75(x - 8) \text{ or } y = -0.75x + 6 }[/tex]

General Formulas and Concepts:
Algebra I

Slope-Intercept Form: y = mx + b

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyley = - 0.75x \\\text{Point } (8, 0) \\[/tex]

Step 2: Find Equation

Recall that a parallel line has the same slope as the one that is given. Therefore, we can define the slope of our parallel line to be m = -0.75:

We can rewrite this form into slope-intercept form as well by expanding:

[tex]\displaystyle y = -0.75(x - 8) \rightarrow \boxed{ y = -0.75x + 6 }[/tex]

∴ we have found the equation of a line that is parallel to the given information.

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Topic: Algebra I

Answer:

what the guy above said

Step-by-step explanation:

Answer:a&c

Step-by-step explanation:

In an isosceles triangle, base angles are congruent, meaning ∠R would equal ∠T. However, no angle measures are provided, making it impossible to determine the measure of ∠T with the given information.

The given figure is an isosceles triangle, triangle RST, where RS is congruent to RT. In an isosceles triangle, the base angles are congruent, meaning that they have the same measure. Therefore, if we know the measure of one of the base angles, we know the measure of the other. The problem, however, does not provide the measures for any of the angles. This makes determining the measure of ∠T impossible with the given information. We would need to know either the measure of angle R or S or the measure of the angle at the vertex, angle T, to find the measure of ∠T. Without additional information, we cannot definitively choose between options A, B, C, or D.

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The area of the surface of the silo that will be exposed to rain, wind, and sun is 450π square feet.

Solution:

To find the area of the surface of the silo that will be exposed to rain, wind, and sun, we need to find the combined surface area of the hemisphere and the cylinder.

Now, let's calculate:

To find the total surface area, we add up the surface areas of the hemisphere, the circular base, and the curved surface:

Total surface area = Surface area of hemisphere + Surface area of circular base + Surface area of curved surface = 25π + 25π + 400π = 450π square feet.

Therefore, the area of the surface of the silo that will be exposed to rain, wind, and sun is 450π square feet.

The perimeter of Shelly's property is 152 meter.

Option (B) is correct.

It is required to find the perimeter.

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square. A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

Given that:

The  Shelly's property is in the shape of rectangle.

Length of property=41 meter

Breadth of property=35 meter

Perimeter of rectangle=2(Length+ Breadth)

Perimeter of rectangle=2(41+ 35)

Perimeter of rectangle=2*76

Perimeter of rectangle=152 meter

Therefore, the perimeter of Shelly's property is 152 meter.

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To find the percentage of pizzas that were mushroom pizzas, you must divide the number of mushroom pizzas by the total number of pizzas. To find the total number of pizzas, we must add the number of mushroom and pepperoni pizzas together.

57 + 38 = 95

Next, we can complete our division.

57/95 = 0.6

Finally, we should multiply by 100. This is because to convert a decimal to a percentage, we must move the decimal point two places to the right so that this value is out of 100 total percent.

0.6 * 100 = 60%

Therefore, 60% of the total pizzas are mushroom.

Hope this helps!

Answer: 12,127.5

Step-by-step explanation:EDGE2021

The point (0,29) on the graph models the daily high temperature in Santiago, Chile on the hottest day of the year, where '0' represents that hottest day and '29' is the high temperature on that day.

The point (0,29) on the graph represents the weather condition in Santiago, Chile on the hottest day of the year. Here, '0' in the pair represents the day which is essentially the hottest day and '29' is the high temperature on that day. It depicts that on this specific day, the highest temperature was 29. The graph is an example of a time series graph, where the changing patterns or trends are displayed over a certain period of time - in this case, the temperature changes across the days following the hottest day of the year.

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Answer:

B) Draw x- & y-axes on graph paper.

Step-by-step explanation:

You need a graph before you can create your line.

We can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is it costs ​$15 to roll a pair of dice and you get paid 2 dollars times the sum of the numbers that appear on the dice.

Assume that you get x and y value on dice 1 and dice 2 respectively. Then the equation representing the money recieved by a individual will be -

2(x + y)

The game will be fair if -

2(x + y) > 15

Now, for the sum of (x + y) = 7, the player will not have any profit. However, from (x + y) = 8, the players will start making profits. So, we can say it is a fair game, if your luck is not bad so far.

Therefore, we can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.

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Answer:

Step-by-step explanation:

Answer:

the Answer is x + y = 8 because 3 + 5= 8

Step-by-step explanation:

To find the side length of the square base of a pyramid with the same volume and height as a cone with radius r, one can use the volume formulas V = (1/3)πr²h for a cone and V = (1/3)a²h for a pyramid. Setting them equal and solving for a yields a = r√π, indicating that the pyramid's base side length is the cone's radius times the square root of π.

The student is asking for the relationship between the dimensions of a cone and a pyramid that have the same volume and height. Specifically, if we have a cone with a radius r, and we want to find the side length of a square base of a pyramid that also has the same volume and height as the cone.

The volume of a cone is given by the formula [tex]V = (\frac{1}{3}) \pi r^2h[/tex], where radius of the cone's base is denoted by 'r' and the height is denoted by 'h'. For a pyramid with a square base, the volume formula is [tex]V = (\frac{1}{3} )a^2h[/tex], where a is the side length of the square base and h is again the height.

Given that both volumes are equal, we can set the formulas equal to each other and solve for a: [tex](\frac{1}{3} )\pi r^2h = (\frac{1}{3} )a^2h[/tex]. The heights cancel out, and we can simplify the equation to solve for the side length a: a = r√π. Therefore, the side length of the square base of the pyramid is the radius of the cone's base times the square root of π.

Sum of the measures of the interior angles of a regular polygon is 180°, using properties of interior and exterior angle and regular polygon.

What is a regular polygon?

A regular polygon is a n-sided polygon in which all sides are of same length and are symmetrically placed about the center.

Properties of interior and exterior angles:

1. The sum of adjacent interior and exterior angle for a polygon is 180°.

2. The sum of exterior angles of a polygon is always equal to 360°.

Here,

Let's consider number of exterior angle=x

given that: each exterior angle measures 120°.

Now, using 2nd property,

         x*120 = 180

         x = 3

So, total number of exterior angles are = 3

Using 1st property,

each interior angle measures = 180 - 120

                                                  = 60°

And total number of interior angle = total number of exterior angle

                                                          = 3

So, the sum of interior angles = 3*60

                                                 = 180° .

Hence, we reached our answer.

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Final answer:

The probability that Mike's next free throw attempt will go in the basket is 75%.

Explanation:

To find the probability that Mike's next free throw attempt will go in the basket, we can use the ratio of successful attempts to total attempts. In this case, Mike has made 63 out of 84 attempts. So the probability can be calculated as:

Probability = Number of successful attempts / Total number of attempts

Probability = 63 / 84

Probability = 0.75

Therefore, the probability that Mike's next free throw attempt will go in the basket is 0.75 or 75%.

The lines are parallel because they are side by side and have the same distance continuously between them. Please give me brainliest because I need one more to turn Virtuoso