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3 years ago

9

A city park has two hiking trails.Pond Trail is 4 2/9 miles long.Hill Trail is 2 1/3 miles long.How much longer is Pond Trial th

an Hill Trial?

1 answer:

SVEN [57.7K]3 years ago

7 0

First, find a common denominator.
2 and 1/3 = 2 and 3/9.

4 and 2/9 - 2 and 3/9 = 1 and 8/9. Hope it helps!

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A piece of wood weighing 10 ounces is found to have of 8 ounces after drying . The moisture content was

ollegr [7]

20%, I believe. The piece of wood lost 2 ounces of moisture after drying, and 2/10 = 20/100

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2 years ago

the mass of mars is approximately 100000000000000000000000 kilograms and that of neptune is about 100000000000000000000000000 ki

rusak2 [61]

Mars-10^23
Neptune-10^26

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3 years ago

What is the median of Variable B? Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Variable

zalisa [80]

The median is 3 because 1,2,2,3,3,5,6,8
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2 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

2 years ago

Read 2 more answers

Damon is 7 years older than his brother Mark. The sum of Damon and marks age is 29

Ugo [173]

Answer:

Damon is 18, Damon's brother is 11 years old.

Step-by-step explanation:

So, the total age of them both is 29. Damon is 7 years older, so we use 29-7=22. Now, 22 is Damon's brother's age times 2, so we use 22/2=11. 11 is Damon's age is 11+7=18, and His brothers age is 11.

3 0

2 years ago

Read 2 more answers