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LuckyWell [14K]
2 years ago
7

A man drops a ball from the top of a 300 foot cliff. The height of the falling ball is modeled

Mathematics
1 answer:
netineya [11]2 years ago
5 0

Answer:

The ball reaches 44 ft above the ground after 4 sec.

Step-by-step explanation:

Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t.  Indicate exponentiation with " ^ "

-16t^2 + 300 = 44 becomes

-16t^2 + 256 = 0, or 16t^2 = 256.  Then, taking the square root of both sides, we get:

4t = 16, or t = 4 sec.  The ball reaches 44 ft above the ground after 4 sec.

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Vika [28.1K]
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5 0
3 years ago
A bolt falls off an airplane at an altitude of 500 m. How long will it take the bolt to reach
Rudik [331]

Answer:

t = sqrt(500/4.9) =~ 10.1 seconds/ Answer: 10.1015 seconds (this is approximate)

Step-by-step explanation:

Use 4.9t^2 + v0t = s

a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?

s = 4.9t^2 + v0t = 500

4.9t^2 = 500

t = sqrt(500/4.9) =~ 10.1 seconds

Part A)

v = initial velocity = 0

s = 500 = vertical distance the object travels (from plane to ground)  

Plug in the given values and solve for t

4.9t^2 + v*t = s

4.9t^2 + 0*t = 500

4.9t^2 + 0 = 500

4.9t^2 = 500

t^2 = 500/4.9

t^2 = 102.04081632653

t = sqrt(102.04081632653)

t = 10.101525445522

t = 10.1015

Answer: 10.1015 seconds (this is approximate)

8 0
2 years ago
Are the triangles congruent if they are which theorem and why?
leonid [27]
Yes the sides are equal to each other
7 0
3 years ago
Consider the expression 25 – 10 ÷ 2 + 3.
Tems11 [23]

Given:

The expression is:

25-10\div 2+3

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

(25-10)\div 2+3=15\div 2+3

(25-10)\div 2+3=7.5+3                       [Using BODMAS]

(25-10)\div 2+3=10.5

In option B,

25-10\div (2+3)=25-10\div 5

25-10\div (2+3)=25-2                      [Using BODMAS]

25-10\div (2+3)=23

In option C,

(25-10)\div (2+3)=15\div 5

(25-10)\div (2+3)=3

In option D,

25-(10\div 2)+3=25-5+3

25-(10\div 2)+3=28-5                     [Using BODMAS]

25-(10\div 2)+3=23

After the calculation, we have 25-10\div (2+3)=23 and 25-(10\div 2)+3=23.

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

(25-10)\div (2+3)=3

Therefore, the correct option is C.

8 0
2 years ago
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