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Gnom [1K]
3 years ago
10

The function relating the height of an object off the ground to the time spent falling is a quadratic relationship. Travis drops

a
tennis ball from the top of an office building 90 meters tall. Three seconds later, the ball lands on the ground. After 2 seconds,
how far is the ball off the ground?
30 meters
40 meters
50 meters
60 meters
Mathematics
2 answers:
andrezito [222]3 years ago
6 0

Answer: 50 meters

Step-by-step explanation: I just finished the pretest

ivanzaharov [21]3 years ago
6 0

Answer:  The ball is <em><u>50 m</u></em> off the ground after 2 seconds

Step-by-step explanation:

Given the function relating the height of an object off the ground to the time spent falling is a quadratic relationship.

Therefore if h=height and t=time then

h=a+bt+ct^{2}       ----------(A)

where a,b and c are constants

Apply given conditions

At t=0s h=90 m

=> 90 m = a+0+0

=>a=90 m

Also the ball has been just dropped at t=0 s

=>\frac{\partial h}{\partial t}=0=>\frac{\partial (a+bt+ct^{2})}{\partial t}=0

=>b+2ct=0

For t=0s b = 0

Thus equation (A) is reduced to h=90+ct^{2}

At  t= 3 s , h=0 m

\therefore 0= 90 +9c=>c=-10 \frac{m}{s^{2}}

Finally we get h=90-10t^{2}

Therefore at t= 2.0 s , h=(90-10\times 2^{2})m=50 m

Thus the ball is <em><u>50 m</u></em> off the ground after 2 seconds

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A gardener uses a coordinate grid to design a new garden. The gardener uses polygon WXYZ on the grid to represent the garden. Th
ValentinkaMS [17]

Answer:

A square

36 square yard.

Step-by-step explanation:

Given the following information:

W(3,3), X(-3,3), Y(-3,-3), and Z(3,-3)

So we need to graph those vertices and connect them in order.

(please have a look at the attached photo)

From the graph, it clear that the shape of the garden is a square.  

Then, we need to calculate the length of the four sides

<u>Find the length of the side YZ. </u>

The length of side YZ  =  3 + 3  =  6 yards  because point Y and Z are on the same line y = -3 so we just need to find the distance between their x coordinate

<u>Find the length of the side WZ.</u>

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=> the area of the square WXYZ:

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= 6*6

= 36 square yard.

7 0
3 years ago
Evaluate the expression.<br> 7^0
il63 [147K]

Answer:

Heyyy!!!!

The answer is 1.

Please read explanation it will definitely help you....

Step-by-step explanation:

Okay... Here it goes...

Basically, there is an exponent rule that says that anything to the power of 0 is 1.

I hope this helps!

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Step-by-step explanation:

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3 years ago
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The ratio of boys to girls in Jamal's class is 3:2. If four more girls join the class, there will be the same number of boys and
olchik [2.2K]

Answer:

12 boys

Step-by-step explanation:

From the above question:

Number of boys = 3

Number of girls = 2

Boys: Girls

3:2

Let :

a = boys

b = girls

Hence, a : b = 3 : 2

a/b = 3/2  

Cross Multiply

2a = 3b .......... Equation 1

a = 3b/2

If four more girls join the class, there will be the same number of boys and girls

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a: b + 4 = 3 : 3

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Cross Multiply

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From Equation 1: a = 3b/2

Substitute 3b/2 for a in Equation 2 we have:

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Cross Multiply

9b = 2(3b + 12)

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Therefore, the number of boys in the class is 12

7 0
3 years ago
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