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Luden [163]
3 years ago
5

Kiran is flying a kite He gets tired, so he stakes the kite into the ground. The kite is on a string that is 12 feet long and ma

kes 45 degree angle with the ground. How high is the kite?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

Answer: Approximately 8.49 feet

==================================================

Explanation:

Draw a right triangle. The reference angle is between the ground and the kite string (aka hypotenuse). The hypotenuse is 12 and the side opposite the reference angle is x.

Refer to the diagram below.

We'll use the sine rule to find x

sin(angle) = opposite/hypotenuse

sin(45) = x/12

12*sin(45) = x

x = 12*sin(45)

x = 8.48528137423857

x = 8.49

This value is approximate.

Make sure your calculator is in degree mode.

I rounded to 2 decimal places, but feel free to round however you need if your teacher instructs otherwise.

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Eunice wanted to save up for a mountain bike that costs £250. She baby-sits each week for 6 hours for £2.75 an hour, and does a
choli [55]

Answer:

Approximately 2 weeks

Step-by-step explanation:

Given data

Cost of bike=  £250

<em>Assuming she works for 6 days</em>

1.Babysitting

6*2.75=£16.5 per day

for 6 days

=16.5*6

=£99

2. Saturday Job

=£27.50

Total earnings for the week

=£27.50+£99

=£126.5 weekly

Hence it will take her

=250/126.5

=1.97 week

Approximately 2 weeks to save up the amount

3 0
3 years ago
Lisa drove 80 miles, then increased her speed by 20 miles per hour for 180 miles. If the second part of the drive took 1 hour lo
hjlf
E is the correct solution
8 0
2 years ago
Match each radius or diameter of a circle with its approximate circumference.
jok3333 [9.3K]

Answer:

radius: 3 units <----> Circumference: 18.84 units

Diameter: 12 units <----> Circumference: 37.68 units

Diameter: 36 units <----> Circumference: 113.04 units

Radios: 5 unites <----> Circumference: 31.4 units

Step-by-step explanation:

How I got the answers for the radiuses:

3 (this is only half the diameter so if you do 3 x 2 you will get the diameter.)

3 x 2 = 6

C = pi x d

C = 3.14 x 6

C = 18.84 [this is the first radios]

5 (this is only half the diameter so if you do 5 x 2 you will get the diameter.)

5 x 2 = 10

C = pi x d

C = 3.14 x 10

C = 31.4 [this is the second radios]

How I got the diameters:

12 (this is the full diameter so we do not have to multiply it by 2)

C = pi x d

C = 3.14 x 12

C = 37.68 [this is the first Diameter]

36 (this is the full diameter so we do not have to multiply it by 2)

C = pi x d

C = 3.14 x 36

C = 113.04 [this is the second Diameter]

Download docx
5 0
3 years ago
The linear function has the domain (-2, -1, 0, 1, 2). Find the range or output of. h(x) = 2x + 3
lisov135 [29]

If the linear function has the domain (-2, -1, 0, 1, 2). Then the range of the function h(x) = 2x + 3 will be (-1, 1, 3, 5, 7).

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The function is given as

h(x) = 2x + 3

The linear function has the domain (-2, -1, 0, 1, 2).

For x = -2

h(-2) = 2 (-2) + 3

h(-2) = -1

For x = -1

h(-1) = 2 (-1) + 3

h(-1) = 1

For x = 0

h(0) = 2 (0) + 3

h(0) = 3

For x = 1

h(1) = 2 (1) + 3

h(1) = 5

For x = 2

h(2) = 2 (2) + 3

h(2) = 7

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

7 0
2 years ago
Which function is represented by the graph?
jeka57 [31]
I believe it is B because the y intersect is +6 and they slope is going down so it is -2
3 0
3 years ago
Read 2 more answers
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