MATHEMATICS MIDDLE SCHOOL

A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190.What is the maximum height of the projectile?
A. 82 feet
B. 190 feet
C. 226 feet
D. 250 feet

Answers

Answer 1
Answer:

Answer:

Option c is correct

226 feet  is the maximum height of the projectile.

Step-by-step explanation:

A quadratic equation y=ax^2+bx+c,   ....[1]

then the axis of symmetry is given by:

x = -(b)/(2a)

As per the statement:

The path of the projectile is modeled using the equation :

h(t) = -16t^2+48t+190            ....[2]

where, h(t) is the height after t time.

On comparing with [1] we have;

a = -16 and b = 48

then;

t = -(48)/(2(-16)) = (48)/(32) = 1.5 sec

Substitute this in [2]  we have;

h(1.5) = -16(1.5)^2+48(1.5)+190  

⇒h(1.5) = -36+72+190  

Simplify:

h(1.5) = 226 ft

Therefore, the maximum height of the projectile at 1.5 sec is, 226 feet.
Answer 2
Answer:

The answer is C on edge

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A rope 29 ft long rope is tied to the top of a flag pole. The rope is staked to the ground 21 ft away from the base of the pole. How tall is the flag pole?

Answers

Answer: 20 ft


Step-by-step explanation:

Given: The length of rope tied to the top of a flag pole=29 ft

The distance between base of the pole and the point on ground where the rope is stacked= 21 ft

Let x be the height of flagpole.

Now, we can see the figure that the given situation represents a right triangle

Where longest side= 29

By Pythagoras theorem of right triangle, the square of the longest side is equal to the sum of the squares of the other two sides.

29^2=21^2+x^2\n\Rightarrow\ x^2=29^2-21^2\n\Rightarrow\ x=841-441\n\Rightarrow\ x=400\n\Rightarrow\ x=√(400)\n\Rightarrow\ x=20

Hence, the height of flagpole = 20 ft.
It's like A2+B2=C2 so:
A2+B2=C2
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A=√(400)
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What is 7/12 as a percent?

Answers

7/12 is 58.33%
How do we change fractions to percents?
The steps are too simple.

First, divide the numerator (the number at the top of the fraction) by the denominator (the number below the fraction).
In the case above, 7 is the numerator and 12 is the denominator.

So, 7 ÷ 12 = 0.58333

Then, multiply the result by 100. 0.5833 x 100= 58.33

Finally, add the percent (%) sign to the result.

Therefore, 7/12 is 58.33%.  




7/12 is 58.33%

Given,

7/12 in fraction form.

To convert fraction into percentage,

First, divide the numerator (the number at the top of the fraction) by the denominator (the number below the fraction).

In the case above, 7 is the numerator and 12 is the denominator.

So, 7 ÷ 12 = 0.58333

Then, multiply the result by 100. 0.5833 x 100= 58.33

Finally, add the percent (%) sign to the result.

Therefore, 7/12 is 58.33%.  

Know more about percentage,

brainly.com/question/13211828

#SPJ6

3/4 of what equals 75

Answers

So, you need to know your vocabulary. "Of" means multiply. So you don't know the "what" part, so put a variable. For the variable, we can put x. Then "equals" means the = sign. So, it would look like this: 3/4x=75. Now you solve x. Divide 4 on both sides and you get 3x=300. Now divide 3 on both sides and you get: x=100
So that means x (or "what") would equal 100.
Sources: my brain
I hope this helps. :-)
100 
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Help please Solving Systems Using InspectionHow many solutions does this system of equations have?



A.
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Answers

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Answers

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