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marta [7]
3 years ago
8

While setting up a fireworks display, you have a tool at the top of the

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

0.79 sec

Step-by-step explanation:

Given there is a tool at the top of the building which is dropped by a worker and it follows the following equation at every instant of time .

h(t)=-16t^{2} +h_{0}

where h_{0} =10 feet

We know that this height is measured from the base of the building which means that when the tool reaches the bottom of the building it has h = 0 feet.

Let this be done at time t

h(t) = 0

-16t^{2} +10=0

t^{2} =\frac{10}{16}

t=\frac{\sqrt{10} }{4}

t = 0.79 sec

Therefore the total time taken by the tool to reach the bottom of the building is 0.79 sec.

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Sara owns a paint shop that makes custom paints. To make one gallon of a specialty color, she needs 4 royal blue units that each
jekas [21]
I think the answer is 1.97 hope it helps you
6 0
3 years ago
Triangle angle - sum theorem<br> what is the value of y?
dangina [55]

Answer:

y = 5

Step-by-step explanation:

All angle measures in a triangle add up to 180°.

  • This means that 63 + 82 + 7y = 180

<u>Solving for Y:</u>

Step 1: Combine like terms.

  • (7y) + (63+82)=180
  • 7y + 145 = 180

Step 2: Subtract 145 from both sides.

  • 7y + 145 - 145 = 180 - 145
  • 7y = 35

Step 3: Divide both sides by 7.

  • \frac{7y}{7} = \frac{35}{7}
  • y = 5

Step 4: Check if solution is correct.

  • 7(5) + 63 + 82 = 180
  • 35 + 63 + 82 = 180
  • 98 + 82 = 180
  • 180 = 180

Therefore, y = 5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
2 years ago
How are volatility and risk related in an investment?
Semenov [28]
The answer is B
hope this helps
5 0
3 years ago
Read 2 more answers
PLease help please please please please help help help me me em e
juin [17]
1) Which of the following is an example of a dilation?
The correct answer is A) The hearts.

2) If triangle ABC is reflected across line m, the new coordinates will be located at A'(2, -4) B'(7,-7) C'(-2, -7).
The answer is False.

I hope this helps! I can't really see #3. Sorry. But I got #'s 1 & 2 though!
4 0
3 years ago
Read 2 more answers
A feasible region has vertices at (-1,3), (3,5), (4,-1), and (-1,-2) find the maximum and minimum values of each function
Molodets [167]
Answer: Choice D. 
Max: f (-1,-2)=4; min:f(3,5)=-11

----------------------------------------
----------------------------------------

Work Shown:

Plug in (x,y) = (-1,3)
f(x,y) = -2x-y
f(-1,3) = -2*(-1)-3
f(-1,3) = 2-3
f(-1,3) = -1
------------------
Plug in (x,y) = (3,5)
f(x,y) = -2x-y
f(3,5) = -2*3-5
f(3,5) = -6-5
f(3,5) = -11
------------------
Plug in (x,y) = (4,-1)
f(x,y) = -2x-y
f(4,-1) = -2*4-(-1)
f(4,-1) = -8+1
f(4,-1) = -7
------------------
Plug in (x,y) = (-1,-2)
f(x,y) = -2x-y
f(-1,-2) = -2*(-1)-(-2)
f(-1,-2) = 2+2
f(-1,-2) = 4
------------------
The four outputs are: -1, -11, -7, and 4

The largest output is 4 and that happens when (x,y) = (-1,-2)
So the max is f(x,y) = 4

The smallest output is -11 and that happens when (x,y) = (3,5)
So the min is f(x,y) = -11

This all points to choice D being the answer.

6 0
3 years ago
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