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zaharov [31]
2 years ago
5

Aaron started at a height of 43 feet in the air. He jumped feet first from the cliff into the water below. The total

Mathematics
1 answer:
Vlad1618 [11]2 years ago
7 0

Answer:

Aaron travelled about 9 feet underwater

Step-by-step explanation:

We need to work with the information we are given in the question.

there are two stages of Aaron's travel. the first distance was in the air, and the second distance was in the water.

We are given both the total distance travelled and the distance travelled in the air.

To get the distance travelled in water, we subtract the distance travelled in the air from the total distance.

This will be 52 feet - 43 feet = 9 feet

Hence Aaron travelled about 9 feet underwater

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The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) (a) Explain what makes this set of da
Maslowich

Answer:

(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}

(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values ​​of the input - more than one output.

for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.

The frelation y ^ 2 = x is not a function because:

When x = 1, y = +1 and y = -1.

(c) The set of data provided can be represented by the equation of a line of the form y = mx + b

The slope is:

m=\frac{y_2-y_1}{x_2-x_1}

m =\frac{7-5}{4-3}

m = 2

b = y_1-mx_1

b = 5 - 2*3

b = -1

Then, the function is:

y = 2x-1

You can substitute any of the points shown in the equation and check that equality is satisfied, for example:

(11 , 21)

y = 2 (11) -1

y = 22-1

y = 21. The equation is satisfied. The same goes for the rest of the values.

4 0
3 years ago
Solve the equation.<br> 9x=25
lidiya [134]

Answer:

x = \frac{25}{9}

Step-by-step explanation:

Divide both sides by 9 to isolate x:

\frac{9x}{9} = \frac{25}{9}  \\x = \frac{25}{9}\\

Hope this helps!

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Please Help ASAP!!! Its My Pre Algebra Exam!
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2 years ago
rishi spent 3/4 of an hour each day for 2 days kyle spent 1/4 of an hour each day for 6 days. who spent more time
myrzilka [38]
To find the answer,we need to first find out their hours spent individually.

Rishi spent:
=2×3/4
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Kyle spent
=6×1/4
=6/4hours

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Hope it helps!
5 0
3 years ago
The angle of elevation of a tower, 45 m high from a ball on the ground 52 degree (a) how far is the ball from the foot of the to
blsea [12.9K]

The distance of the ball from the foot of the tower is : 35.18m

The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.

<h3>What is angle of elevation?</h3>

Angle of elevation is the angle formed between the horizontal and the  line of view from the vertical.

Analysis:

The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.

so we use trigonometry.

a) let distance of the ball from foot of tower be x.

  so that, tan 52 = 45/x

  x = 45/tan52

  x = 45/1.279 = 35.18m

b) let the distance of the ball in the new position from the foot of the tower be y.

if the angle of elevation is halved, then new angle is 52/2 = 26°

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y = 45/tan26 = 45/0.487 = 92.4m

distance moved from old position to new position = 92.4 - 35.18 = 57.2m

In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.

Learn more about angle of elevation: brainly.com/question/88158

#SPJ1

4 0
1 year ago
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