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posledela
4 years ago
15

The distance a free falling object had traveled can be modeled by the equation d=1/2 at^2 where a is acceleration due to gravity

and t is the amount of time the object has fallen. What is t in terms of a and d?
Mathematics
2 answers:
ValentinkaMS [17]4 years ago
8 0

Answer:

Answer:

 t = √(2d/a)

Step-by-step explanation:

To solve for a variable, undo the operations done to that variable, in reverse order. Here, t is squared, then multiplied by a/2.

 d = (a/2)t^2

Multiply by 2/a.

 2d/a = t^2

Take the square root.

 t = √(2d/a)

luda_lava [24]4 years ago
5 0
D=(1/2)*a*t²
Multiply both sides by 2
2d= a*t²

Divide both sides by a
2d/a=t²

Now take square root both sides. You will get t in terms of d and a
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Convert 153 degrees into radians to the nearest to decimals places
STatiana [176]
Since we know there are π radians in 180°, then how many radians are there in 153°?

\bf \begin{array}{ccll}
radians&de grees\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\pi &180\\
x&153
\end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{153}\implies \cfrac{\pi \cdot 153}{180}=x\implies \stackrel{simplified}{\cfrac{17\pi }{20}}=x
6 0
3 years ago
Jill borrows a pencil and returns it after the Warm Up. She then borrows a different pencil to show work on her CFA.  The proba
mestny [16]

Probabilities are used to determine the chances of events

The probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

<h3>How to calculate the probability</h3>

Represent the events as follows:

  • A represents mechanical pencil
  • B represents wooden pencil
  • C represents colored pencil

So, we have

P(A) = 20%

P(B) = 40%

P(C) = 30%

The probability that Jill selects a wooden pencil and then a mechanical pencil is then calculated as:

P(B n A) = P(B) * P(A)

This gives

P(B n A) = 40% * 20%

Evaluate the product

P(B n A) = 8%

Hence, the probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

Read more about probabilities at:

brainly.com/question/9385303

4 0
3 years ago
The ______ average ignores compounding.
mars1129 [50]
The answer is:  [B]:  "arithmetic" .
______________________________________________________
         "The <u>  arithmetic  </u> average ignores compounding."
______________________________________________________
8 0
4 years ago
What's the mean of 3 4 5 3 4 5 6 7 1 2 3 4 5 6 4 8 4 3 2 <br> A. 4.1<br> B.4.2<br> C.8.0<br> D.8.3
Bess [88]

Answer:

A. 4.1

Step-by-step explanation:

3+4+ 5+ 3+ 4+ 5+ 6+ 7+ 1+ 2+ 3+ 4+ 5+ 6+ 4+ 8+ 4+ 3+ 2= 79

79/ 19 = 4.1

3 0
3 years ago
A. 12 + 4x = 6x + 10 – 2x
GalinKa [24]

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) 12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10

which is impossible

B) 5x+14-4x=23+x-9 \iff x+14 = x+14

which is an equality

C) x+9-0.8x=5.2x+17-8\iff 0.2x+9=5.2x+9 \iff 0.2x=5.2x\iff x=0

which has a unique solution

D) 4x-2x=20 \iff 2x=20 \iff x=10

which has a unique solution

3 0
3 years ago
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