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hram777 [196]
3 years ago
6

12. Elmo is standing on a parade float tossing candy out to everyone. The candy is thrown with a starting velocity of 10

Mathematics
1 answer:
frosja888 [35]3 years ago
7 0

Answer:

c. 0.71

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

The height of the candy after t seconds is given by the following equation:

h(t) = -16t^2 + 10t + 3

After how many seconds will the ball be 2 feet in the air?

This is t for which h(t) = 2

So

h(t) = -16t^2 + 10t + 3

2 = -16t^2 + 10t + 3

-16t^2 + 10t + 1 = 0

So

a = -16, b = 10, c = 1

\Delta = b^{2} - 4ac = 10^2 -4(-16)(1) = 164

t_{1} = \frac{-10 + \sqrt{164}}{2*(-16)} = -0.09

t_{2} = \frac{-10 - \sqrt{164}}{2*(-16)} = 0.71

Since time is a positive measure, the answer is 0.71, which is option c.

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a square garden with a side of 150m has a square swimming pool in the very center with a side length of 25m calculate the area o
marta [7]

Answer: 21,875 sqm

Step-by-step explanation:

Step 1:

   Find the gross area of the garden.

   Square 150m = 22,500 sqm.

Step 2:

   Find the area of the pool.

   Square 25m = 625 sqm.

Step 3:

   Subtract the area of the pool from the gross area of the garden

   to find the net area of the garden.

   22,500 - 625 = 21,875 sqm.

Warning:

   Do not subtract the side length of the swimming pool from the side length

   of the garden before squaring.

7 0
3 years ago
Quick algebra 1 question for 10 points!
NeTakaya

Answer:

12.50h = 2500.75

Step-by-step explanation:

He earned $12.50 for 1 hour of work.

For 2 hours, he earned $12.50 × 2.

For 3 hours, he earned $12.50 × 3.

For h hours, he earned $12.50 × h which can be simply written as 12.50h

He earned altogether $2500.75, so 12.50h must equal 2500.75.

Answer: B 12.50h = 2500.75

4 0
1 year ago
Read 2 more answers
What is the value of tan(60°)?<br> A<br> 12<br> 30°<br> B<br> 60°<br> 14
iogann1982 [59]

Answer:

the answer is 1.7320508076

8 0
3 years ago
Please help!!! Thanks!!
Elena L [17]

Answer:

A

Step-by-step explanation:

7 0
2 years ago
Solve and Simplify if you can
dem82 [27]

Answer:

5 1/2 cups

Step-by-step explanation:

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