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3 years ago

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The area of the trapezoid is 660 sq cm. Given the sides of 26 cm each and bases of 42 cm and 24 cm, find the height of the trape

zoid.

1 answer:

adell [148]3 years ago

3 0

Hand sham. Your answer is the number below
7392.3

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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when <u>flash down</u><u> </u>occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?

5 0

2 years ago

The population of a city decreases by 1.2% per year. If this year's population is 177,000, what will next year's population be,

Vsevolod [243]

Answer:

Initial value

177000

Final value

174,876

Decrease

1.2%

Difference

-2,124

5 0

2 years ago

Find area of the composite figure..

saveliy_v [14]

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

Area of the triangle = r²sintheta

Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

Area of parallelogram = 20(20)sin60

Area of parallelogram = 400(0.8660)

Area of parallelogram = 346.4square inches

Area of parallelogram = 346 square inches

Area of the figure = 346 + 281

Area of the figure = 627square inches

3 0

3 years ago

Luna is buying food for a dinner party. She is going to buy 2 key lime pies that cost $8.99 each. Shrimp costs $8.50 a pound. Sh

spin [16.1K]

Answer:

x=45- 2*8.99/8.50

x~3.18

3 lbs of shrimp

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3 years ago

Hi! how many times does 9 go into 67???? plz help me

Nina [5.8K]

Answer:

it goes into 67 7 times

Step-by-step explanation:

8 0

3 years ago

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