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inn [45]
4 years ago
10

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

Mathematics
1 answer:
quester [9]4 years ago
3 0
With this, we should remember SOHCAHTOA (Sine: Opposite over Hypotenuse, Cosine: Adjacent over Hypotenuse, and Tangent: Opposite over Adjacent).

Using the image attached, we know that we should use Sine, because we know the hypotenuse (100 feet) and we want to know the height, or the Opposite (h).

So, we use: sin(48)=h/100 and we multiply both sides by 100 to get:

100sin(48)=h

Now, we just plug the numbers into a calculator. (Make sure your calculator is set to Degrees, or "Deg").

What we get is about 74.3144825... but we can round that to 74.3 feet.

Answer: 74.3 feet.

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steve made a mistake in writing a two step equation. Instead of multiplying by 3 and adding 7, he multiplied by 7 and added 3 to
rjkz [21]

Answer:

The correct answer of the problem is 1.

Step-by-step explanation:

Let the original number on which the wrong procedure is applied is x.

Now, Steve multiplied by 7 and then added 3 to get the answer of - 11.

So, 7x + 3 = - 11

⇒ 7x = - 14

⇒ x = - 2

Now, the correct step to get the answer is multiplying by 3 and adding 7.

Hence, the correct answer of the problem is (- 2) × 3 + 7 = - 6 + 7 = 1 (Answer)

8 0
4 years ago
Please help quickly! Will give points to 1st right answer!
Kobotan [32]

The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

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

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

The table is shown below.

Let the logarithm function with the variables x and y. Then we have

y = logₐ x

At x = 25, the value of y will be 2. Then the value of a will be

2 = logₐ 25

2 = 2 logₐ 5

1 = logₐ 5

Then 1 can be written as

1 = log₅ 5

Then on comparing, the value of a will be

a = 5

Then the logarithm function will be

y = log₅ x

Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

4 0
3 years ago
Find the value of k if it is known that the graph of y=kx goes through:
DENIUS [597]

In y=kx , subst. -30 for x and 3 for y.  Then solve the resulting equation for k:

3 = k(-30).

Dividing both sides by -30, we get:

-3/30 = -1/10 = k

The constant of proportionality is k = -1/10.

3 0
4 years ago
Write the equation of a line that is horizontal and contains the point (-4, 1)
olga nikolaevna [1]

Answer:

y = 1

Step-by-step explanation:

The slope of a horizontal line is 0 which leaves you with only the y-intercept

6 0
4 years ago
(-----×1/4)÷6×3/9 I need the step to this problem so that I explain to my grandson how he he gets the answer
lesya692 [45]

Answer:

-----×1/72

Step-by-step explanation:

The <em>order of operations</em> says do these operations in order left to right. Please note that ÷ means the same as / unless you define it otherwise in your problem statement.

If you intend the ÷ symbol to be used to indicate everything to its left is divided by everything to its right, it is appropriate to use parentheses for that grouping, as in ...

  (-----×1/4)÷(6×3/9) = (-----×1/4)÷2 = -----×1/8

_____

Here, we're going to evaluate what you have written according to the usual rules as described above.

  (-----×1/4)÷6×3/9 = -----×1/24×3/9 = -----×(3/24)/9

  = -----×1/8/9

  = -----×1/72

_____

<em>Comment on the arithmetic</em>

Fractions are multiplied and divided in the usual way:

  a/b×c = (a×c)/b

  a/b/c = (a/b) × (1/c) = a/(b×c)

___

<em>Comment on fractions and parentheses</em>

Please note that parentheses are required on any numerator or denominator that consists of anything other than a single number or variable. (The exception is the case where the numerator is a product, because a·b/c = (a·b)/c with or without the parentheses.)

6 0
4 years ago
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