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nydimaria [60]
3 years ago
11

The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat.

The graph below shows the distances a baseball travels (in feet) and the speed of the swing (in miles per hour).
Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?

A. The distance is 0.1 times the swing speed.
B. The distance is 0.2 times the swing speed.
C. The distance is 5 times the swing speed.
D. The distance is 10 times the swing speed.

Mathematics
2 answers:
Mice21 [21]3 years ago
5 0

Answer:

the answer is c

Step-by-step explanation:

Step2247 [10]3 years ago
4 0

Answer:

The answer is C: the distance is 5 times the swing speed

Step-by-step explanation:

On the graph, when the speed is 20mph, the distance is 100ft. 100=20x5 hence the distance is 5 times the speed

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from the top of a tree the angle of depression of a rock on the ground is 49 degrees. If the tree is 18.5 m tall, how far is the
Rashid [163]

Answer:

Step-by-step explanation:

If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.

We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,

tan(49)=\frac{18.5}{x} and

x=\frac{18.5}{tan(49)} and on your calculator in degree mode, you will find that

x = 16.08 m

Download docx
4 0
3 years ago
What is is the total amount of her order?​
ValentinkaMS [17]

Answer:

She ordered 11 things

Step-by-step explanation:

you should have added the cost of each item then I could have given you the whole answer

6 0
2 years ago
In order to determine how likely it is that a child will inherit a certain trait, you can use a
Svet_ta [14]
Punnett Square

They model the chances of a dominant trait taking over
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2 years ago
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Monique's son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 in
tatuchka [14]

Answer:

The equation representing how old Monique son is \mathbf{a = 2 + \dfrac{8}{21}(q-34)}

Step-by-step explanation:

From the given information:

A linear function can be used to represent the constant growth rate of Monique Son.

i.e.

q(t) = \hat q \times t + q_o

where;

q_o = initial height of Monique's son

\hat q = growth rate (in)

t = time

So, the average boy grows approximately 2 5/8 inches in a year.

i.e.

\hat q = 2 \dfrac{5}{8} \ in/yr

\hat q =  \dfrac{21}{8} \ in/yr

Then; from the equation q(t) = \hat q \times t + q_o

34 = \dfrac{21}{8} \times 0 + q_o

q_o = 34\  inches

The height of the son as a function of the age can now be expressed as:

q(t) = \dfrac{21}{8} \times t + 34

Then:

Making t the subject;

q - 34 = \dfrac{21}{8} \times t

t = \dfrac{8}{21}(q-34)

and the age of the son  i.e. ( a (in years)) is:

a = 2 + t

So;

\mathbf{a = 2 + \dfrac{8}{21}(q-34)}

SO;

if q (growth rate) = 50 inches tall

Then;

\mathbf{a = 2 + \dfrac{8}{21}(50-34)}

\mathbf{a = 2 + \dfrac{8}{21}(16)}

a = 2 + 6.095

a = 8.095 years

a ≅ 8 years

i.e.

Monique son will be 8 years at the time Monique is 50 inches tall.

8 0
2 years ago
Which is the completely factored form of 12x3 – 60x2 4x – 20? 4(3x2 – 1)(x – 5) 4x(3x2 1)(x – 5) 4x(3x2 – 1)(x 5) 4(3x2 1)(x – 5
Neporo4naja [7]

The factors of the polynomial are \rm  4(3x^2 + 1)(x-5).

<h3>Factorization;</h3>

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial;\rm 12x^3 - 60x^2 + 4x -20

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

\rm 12x^3 - 60x^2 + 4x -20\\\\ 12x^3(x-5)+4(x-5)\\\\(12x^3+4)(x-5)\\\\ 4(3x^2 + 1)(x-5)

Hence, the factors of the polynomial are \rm  4(3x^2 + 1)(x-5).

To know more about factorization click the link given below.

brainly.com/question/17595467

4 0
2 years ago
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