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3 years ago

The equation h=-16t^2 , HELP! ID APPRECIATE IT!

Mathematics

1 answer:

nikdorinn [45]3 years ago

6 0

Answer:

37.52 feet

Step-by-step explanation:

Given in the question the equation

h = -16t² + 47t + 3

where h is height in feet

t is time in minutes

a = -16

b = 47

c = 3

To find the maximum height of the football

If a, the coefficient of the x² term, is positive, then the parabola opens upward. If a is negative, then the parabola opens downward. In this case it is -16 which is negative so it open downward.
The value of -b/2a tells you the x value of the vertex of the curve at which it is maximum
Plug this value in the equation to find h, maximum height.

t = -b / 2a

= -47 / 2(-16)

= 1.47 sec

h = -16(1.47)² + 47(1.47) + 3

= 37.52 feet

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The area of a circle is 43.25cm2. Find the length of the radius rounded to 2 DP.

Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: $A=\pi r^2$ where r is the radius

Plug in the area 43.25 cm²

$43.25=\pi r^2$

Divide both sides by π to isolate r²

$\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2$

Take the square root of both sides to isolate r

$\sqrt{\frac{43.25}{\pi}} =r\\3.71=r$

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

8 0

2 years ago

I think it’s b but I’m not sure... please show work I need help ASAP

ohaa [14]

The answer is b. Great job! here ill show you the work.
15x +90 > 270
move constant to the right side and change its sign, like this:
15x>270-90
then subtract the numbers
15x>180
lastly, divide both sides by 15.
hope this helped!

5 0

3 years ago

The number of bacteria, b, in a refrigerated food is given by the function b(t) = 15t2 − 60t + 125, where t is the temperature o

s344n2d4d5 [400]

The answer of the above is

7 0

3 years ago

It took 4 balloons to make the duck float. The duck

DaniilM [7]

Answer: 14 grams

Step-by-step explanation:

It took 4 balloons to make a duck that weighs 56 grams to float. With one balloon, the number of grams that will float will be 56 grams divided by 4. This will be:

= 56 grams ÷ 4

= 14 grams

6 0

3 years ago

The surface area and volume of a sphere are in the ratio of 3:7cm.What is the circumference of its great circle and volume

marishachu [46]

Answer:

Radius of sphere =1unit

SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31

∴V:S=1:3 cm

Step-by-step explanation:

Hope this helps. If any questions, please ask in comments.

3 0

1 year ago