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3 years ago

Find the length of the

Mathematics

1 answer:

mr_godi [17]3 years ago

6 0

Answer:

I think you write a wrong question

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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 a is -4.9 and b 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

3 years ago

Read 2 more answers

Solve for d. Help is appreciated thank u!!

crimeas [40]

Answer:

d = 16.88

Step-by-step explanation:

Start by simplifying both sides of the equation then isolate the variable

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3 years ago

Kai and aaron ate 5/6 of pizza . explain how you can tell what fraction of the pizza is left

NeX [460]

Hi there!

Since 1 - 5/6 = 1/6, 1/6 of the pizza is left.

Hope this helps!

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3 years ago

Ellen needs to buy 180 inches of ribbon to wrap a present. The store sells ribbon only in whole yards. How many yards does Ellen

exis [7]

If very 36 inches is a yard and you divide 180 inches by 36 you would be left with 5 so see would need 5 yards of ribbon

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Trigonometry Ratios Find the size of angle P, to the nearest degree: 35tanP=15

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先㊙くださいだ→あkユンルグイェヂンに兵衛絵。かな?あなたからくださいから

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3 years ago