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mixer [17]
3 years ago
15

Which figures can be used to find the area of the composite figure? Choose exactly two answers that are correct. A. a rectangle

with an area of 34 cm2 B. a rectangle with an area of 72 cm2 C. a quarter circle with an area of 16pi cm2 D. a quarter circle with an area of 64pi cm2

Mathematics
1 answer:
Romashka [77]3 years ago
3 0
B and C is the correct answer
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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 <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
3 years ago
Read 2 more answers
Match
ladessa [460]
I think it’s D.............
7 0
3 years ago
Here is a better picture​
Sonja [21]

Answer:all

Step-by-step explanation:so because u have done all

3 0
2 years ago
Ally is making a scale diagram of her classroom. She uses a scale factor of 3 centimeters per foot to draw the diagram. The actu
frozen [14]
Multiply 18 * 3 and 20 * 3

18*3 = 54

20 * 3 = 60

Length = 54 cm ; Width = 60 cm

Area = L x W

54 * 60 = 3240

Area = 3240 cm

6 0
3 years ago
7/11 of a class walk to school. What fraction of the class did not walk to school
elena55 [62]

Answer:

4/11 of the class did not walk to school.

Step-by-step explanation:

11/11 - 7/11 = 4/11

7 0
1 year ago
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