Mathematics High School

The height (in feet) of objects launched from a

pirate ship's rocket launcher can be modeled by

the equation h = -16t? + 180t + 18 where t is the

time in seconds.

Find the maximum height a launched item

could reach. (Round to two decimal places).

After how many seconds will an item hit the

water after being launched? (Round to nearest

whole number).

Please someone help me

Answers

Answer 1

Answer:

i) 524.25feet

ii) 11secs

Step-by-step explanation:

1) Given the height of the rocket modelled by the equation

h = -16t² + 180t + 18 where

t is in seconds

At the maximum height, the velocity of the object is zero.

v(t) = dh/dt = 0

dt/dt = -32t + 180

0 = -32t + 180

32t = 180

t = 180/32

t = 5.625secs

Get the maximum height

h = -16t² + 180t + 18

h = -16(5.625)² + 180(5.625) + 18

h = -16(31.640625)+ 180(5.625) + 18

h = -506.25+1,012.5+18

h = 524.25feet

Hence the maximum height a launched item could reach is 524.25feet

ii) The item will hit the water at h = 0

Substitute inti the expression

h = -16t² + 180t + 18

0 = -16t² + 180t + 18

16t² - 180t - 18 = 0

Divide through by 2

8t² - 90t - 9 = 0

t = 90±√90²-4(8)(-9)/2(8)

t = 90±√8100+288/16

t = 90±√8,388/16

t = 90±91.586/16

t = 90+91.586/16

t = 181.586/16

t = 11.35sec

Hence the item hit the water after 11secs (to nearest whole number)

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Answers

Answer:

c) x ≈ −2 and x ≈ 1.67

Step-by-step explanation:

Solve 3x²+ x - 10 = 0.

We solve using Almighty formula

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where a = 3, b = 1, c = -10

Hence

-1 ± √1² - 4 × 3 × -10/2 × 3

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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28 out of the 50 students in the 4th grade love chocolate ice cream. What percentage of the 4th graders DO NOT love chocolate ice cream?

Answers

Answer:20%

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Answers

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Step-by-step explanation:

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Answers

Answer:

554.3 m^2

Step-by-step explanation:

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The volume of a regular hexagonal pyramid will be 554.3 cubic inches.

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The base area is calculated as,

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A = 3 x 8 x 8 x 0.866

A = 166.28 square inches

The volume of a regular hexagonal pyramid is calculated as,

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A camera has a listed price of $511.99 before tax. If the sales tax rate is 7.75%, find the total cost of the camera with sales tax included.
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Answers

Answer:

$551.70

Step-by-step explanation:

Price before tax= $511.99

Cost of the tax= 7.75/100×511.99

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At the end of her work day at the Ferguson Corporation, Sarah usually

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Ferguson

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Answers

Answer:

1263.7032 feets

Step-by-step explanation:

Distance from Ferguson corporation to Springdale Town center ; let the distance = x

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[tex]H=1263.7032 feets[/tex]

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Answers

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