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Mrac [35]
3 years ago
9

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str

ing makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth
Mathematics
1 answer:
MakcuM [25]3 years ago
5 0

Answer:

Step-by-step explanation:

The string of a kite forms a right angle triangle with the ground. The length of the string represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.

To determine the height of the kite, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse.

1) if the kite makes an angle of 25° with the ground, then the height, h would be

Sin 25 = h/50

h = 50Sin25 = 50 × 0.4226

h = 21.1 feet

2) if the kite makes an angle of 45° with the ground, then the height, h would be

Sin 45 = h/50

h = 50Sin45 = 50 × 0.7071

h = 35.4 feet

The approximate difference in the height of the kite is

35.4 - 21.1 = 14.3 feet

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Imagine you had 40 one-metre sections of fencing.
Darya [45]

Answer: If I’m not mistaken, the largest area is 75 m2 and the smallest is 2 m2

Step-by-step explanation:

For both : since they are asking for the area, you should calculate the perimeter.

So for the largest area, since you know that you have 40 fences, and each are 1 meter long, and they’re also asking for the largest rectangular area, this means that only the opposite sides will have the same length, so in order to divide the rectangle with the 40 one-meter fences, the biggest sides have to be 15 meters long (so for both : 15x2=30 meters). Then you deduct from 40, 30 : 40-30 = 10 which then you can devide by 2 and find 5 + 5 and that means that the 2 smallest sides will be 5 meters long each. Then finally to calculate the perimeter you should do the biggest side multiplied by the smallest side : 15 x 5 and you find 75 m2 (squaremeters), if I’m not mistaken.

And for the smallest area you take the smallest possibilities knowing that only the opposite sides should have the same length and not all of them, so you do 1 x 2 and you find 2 m2.

8 0
3 years ago
Please help anyone and thank you
snow_lady [41]

Answer and Step-by-step explanation:

The two statements that are true are statement 1 and statement 4:

- The sum of pi and 0 is irrational.

- The product of \frac{9}{5} and \sqrt{19 } is irrational.

Pi is an irrational number, and the square root of 19 is irrational. That's because these numbers can't be put into a simplified fraction to encompass all the digits it contains.

#teamtrees #PAW (Plant And Water)

8 0
2 years ago
help please!! i really don’t understand how to do this and i just need an answer so i can get this class over with ;;
tigry1 [53]

Answer:

1/8

Step-by-step explanation:

(6(3)⁻¹(1))⁻³             n⁰=1

(6/3)⁻³

(2)⁻³

1/(2)³

1/8

Hope it helps

5 0
3 years ago
Complete the statements.<br> f(4) is<br> f(x) = 4 when xis
inessss [21]

Think about this as a table of values where domain is the x values and range is the y values.

f(4) wants the y-value when the x-value is 4

f(4) = 1/2

The second question wants us to find the x-value when f(x) also known as the y-value is 4.

f(x) = 4

x = 8

answers: 1/2, 8

6 0
3 years ago
Read 2 more answers
Are the following proportional? Explain: 3/4 to 9/15
Jet001 [13]
It isn't proportional because 3/4 is proportional to 9/16 not 9/15.
4 0
3 years ago
Read 2 more answers
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