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erastovalidia [21]
3 years ago
10

A sapling grew 8 1/2 inches one year 10 3/4 inches the second year and 9 3/4 inches the third year how much did it grow during t

he three years?
Mathematics
1 answer:
victus00 [196]3 years ago
6 0
8 1/2 = 8.5
10 3/4 = 10.75
9 3/4 = 9.75

8.5 + 10.75 + 9.75 = 29 inches in total <==
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when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s
Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

t \propto y^{1/2}

t = k\cdot t^{1/2}

Where:

t - Time spent by the stone, measured in seconds.

y - Height change experimented by the stone, measured in meters.

k - Proportionality constant, measured in \frac{s}{m^{1/2}}.

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

k = \frac{t}{y^{1/2}}

If t = 4\,s and y=78.4\,m, then:

k = \frac{4\,s}{(78.4\,m)^{1/2}}

k \approx 0.452\,\frac{s}{m^{1/2}}

Then, the expression is t = 0.452\cdot y^{1/2}. Finally, if y = 500\,m, then the time is:

t = 0.452\cdot (500\,m)^{1/2}

t \approx 10.107\,s

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0
3 years ago
Find y on this triangle
WARRIOR [948]

Answer:

5√3 / 2

Step-by-step explanation:

tan 30 = ( 5 / 2 ) / y

1 / √3 = 5 / 2y

2y = 5√3

y = 5√3 / 2

5 0
2 years ago
In 30 minutes, a television station plays 8.5 minutes of commercials. The equation m + 8.5= 30 gives the length m in minutes of
zubka84 [21]
The solution to the equation would be 21.5

Why?

If you do the equation backwards

30 - 8.5 = x

You would get 21.5
You can plug it into the first equation to check!

:)


8 0
3 years ago
Read 2 more answers
Find the volume of a cylinder that has a radius of 6 feet and a height of 10 feet. Use 3.14 for pi
dybincka [34]
V = pi r^2 h
= pi (36)(10)
6 0
3 years ago
If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she
Lemur [1.5K]

Answer: \dfrac{11}{12}

Step-by-step explanation:

Given

The odds against winning in a chess tournament are 1 to 11.

Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}

Probability of non-occurrence i.e. she wins the first prize is

\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}

7 0
3 years ago
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