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2 years ago

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Mathematics

1 answer:

tatyana61 [14]2 years ago

6 0

Answer:

Step-by-step explanation:

The position function for this is given as

$h(t)=-16t^2+48t+2.75$ where h(t) is the height of the football at any time t. If the ball is caught at 5.25 feet, that h(t) value is 5.25 since we are looking for the time the ball was in the air from its initial 2.75 feet to 5.25 feet, when it was caught.

$5.25=-16t^2+48t+2.75$ and set this equal to 0:

$-16t^2+48t-2.5=0$ and factor.

When we factor we get

t = .05 and t = 2.95 in seconds.

That first time tell us how long it takes to go from the initial height of 2.75 to a point 2.5 feet higher, 5.25. To get get back down to the 5.25 foot height on the other side of the vertex, is 2.95 seconds. So the total time the ball was in the air was 3 seconds exactly.

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The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and w

kotegsom [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

- Solve for Area of the base (height x length)

Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

-Result

Area of the base = 54 m²

2.- Find the prime factors of 54

54 2

27 3

9 3

3 3

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

Length Width

2 x 3 = 6 and 3 x 3 = 9

or 2 x 3 x 3 = 18 and 3 x 1 = 3

or 3 x 3 x 3 = 27 and 2 x 1 = 2

6 0

3 years ago

Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the probability that a tee

Darya [45]

The answer to your question is: B

5 0

3 years ago

Read 2 more answers

scZoUnD [109]

Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.

Situation A : The number of miles Rashid drives increases over a period of 5 hours.

→ in this situation both variable no. of miles and period of time are increasing. so it is not represent a inversely proportional relationship.

in next two situation , two variables are increasing with each other.

so we take last situation ↓

Situation : Robin has $100 to share evenly with his cousins at the fair. As the number of cousins who arrive increases, the amount that each person receives

decreases.

→ in this situation , both variable viz no. of cousins and amount they got is inversely proportional to each other. when no. of cousins are increasing than amount is decreasing. so this last one situation represent the inversely proportional relationship.

thanks ❤

4 0

3 years ago

Two numbers, x and y, are related as described in this statement: x to the power of 3 is equal to y to the power of 5. Which equ

Aleonysh [2.5K]

The mathematical sentence can be written as:

x^3 = y^5

<h3>How to write the expression?</h3>

A number a to the power of n is written as:

a^n

Then:

"x to the power of 3 is equal to y to the power of 5"

Would be written as:

x^3 = y^5

Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.

If you want to learn more about expressions, you can read:

brainly.com/question/4344214

4 0

2 years ago

Find m∠I. Put the answer below.<br> m∠I =

pashok25 [27]

Answer:

The answer is 68°

Step-by-step explanation:

<h3><u>Given</u>;</h3>

A right angled-triangle IGH.
where, m∠G = 90°

m∠I = ?

We know that

tan θ = Opp ÷ Adj

tan θ = 5 ÷ 2

tan θ = 2.5

tan θ = 68.2 ≈ 68

We know that tan 68 = 2.5

Thus, The m∠I is 68°

<u>-TheUnknownScientist 72</u>

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2 years ago