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SVEN [57.7K]
2 years ago
6

A football is kicked vertically upward from a height of 2 feet with an initial speed of 50 feet per second. The formula h=2+50t-

16t² describes the ball's height above the ground, h, in
feet, t seconds after it was kicked. Use this formula to find the ball's height 2 seconds after it was kicked.
The ball's height, 2 seconds after it was kicked, was feet.
Mathematics
1 answer:
Oksanka [162]2 years ago
5 0

Answer: 38 feet.

Step-by-step explanation:

The equation of motion of a body thrown vertically upwards:

                                       \displaystyle\\\boxed {h=h_0+v_0t-\frac{gt^2}{2} \ \ \ \ \ (1)},

h_0=2 \ feet\ \ \ \  v_0=50\  feet\  per\  second.

Substitute in formula (1) the value t=2 c:

h=2+50*2-16*2^2\\h=2+100-16*2*2\\h=102-64\\h=38\ feet.

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A video game designer is modeling a tower that is 320 ft high and 260ft wide. She creates a model so that the similarity ratio o
maksim [4K]
H = Tower Height = 320
W = Tower Width = 260
h = Model Height
w = Model Width

h = (1/500) * H = (1/500) * 320 = .64 feet
w = (1/500) * W = (1/500) * 260 = .52 feet

Now, we need to convert these measurements to inches.

There are 12 inches per foot.

Let x = height in inches and y = width in inches

The ratio below compares feet to inches

x / h = 12 in / 1 ft
y / w = 12 in / 1 ft

Plug in h and w, cross multiply, and solve for x and y, respectively.

x / .64 = 12 / 1
1 * x = .64 * 12
x = 7.68 in

y / .52 = 12 in / 1 ft
1 * y = .52 * 12
y = 6.24 in



 
5 0
3 years ago
Solve each equation<br> (This is a fraction)<br> 6/11 = r/11
Mashutka [201]

Answer:

r=6

Step-by-step explanation:

6/11=r/11

cross product

11*r=6*11

11r=66

r=66/11

r=6

7 0
3 years ago
Art and his friends spent $62 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7. Which equation
Korvikt [17]

The right answer is Option B: 7p+12t=62

Step-by-step explanation:

Given,

Amount spent by Art and his friends = $62

Cost of one ticket = $12

Cost of t tickets = 12t

Cost of one bucket of popcorn = $7

Cost of p buckets of popcorn =7p

According to given statement;

7p+12t=62

7p+12t=62 represents the number of tickets bought, t, and the number of buckets of popcorn bought, p.

The right answer is Option B: 7p+12t=62

Keywords: addition, linear equation

Learn more about linear equations at:

  • brainly.com/question/1903425
  • brainly.com/question/1878521

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....
Alexandra [31]

Answer:

Option D Both students could be correct. Because the numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.

Step-by-step explanation:

A geometric sequence has a common ratio. Here, that ratio would be 11/-5.5 = -2 if the sequence is geometric. That ratio would mean the next two terms are ...

11 × -2 = -22

-22 × -2 = 44

__

An arithmetic sequence has a common difference. Here, that difference would be 11 -(-5.5) = 16.5 if the sequence is arithmetic. That difference would mean the next two terms are ...

11 +16.5 = 27.5

27.5 + 16.5 = 44

__

These descriptions match those offered by the students, so both could be correct.

5 0
3 years ago
Read 2 more answers
What is the solution to this equation?
MrRissso [65]
Here, √x = 0.5
Squaring on both sides, 
(√x)² = (0.5)²
x = 0.25 

In short, Your Answer would be Option C

Hope this helps!
6 0
3 years ago
Read 2 more answers
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