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STatiana [176]
3 years ago
10

A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be r

epresented by the quadratic equation h(t) = -16t2 + 80t + 224, where t represents the time in seconds that the baseball has been in the air and h(t) represents the baseball's height in feet. When factored, this equation is h(t) = -16(t - 7)(t + 2).
What is a reasonable time for it to take the baseball to land on the ground?

-2 seconds

-9 seconds

-5 seconds

-7 seconds
Mathematics
2 answers:
lianna [129]3 years ago
8 0
H(t) = 0 for t = 7 and for t = -2.

It is reasonable for the time to be positive, 7 seconds.

(The offered answers all appear to be negative, so none are reasonable.)
zimovet [89]3 years ago
4 0

Answer:

7 seconds

Step-by-step explanation:

Given :

A baseball is thrown into the air from the top of a 224-foot tall building.

The baseball's approximate height over time can be represented by the quadratic equation h(t) = -16t^2 + 80t + 224

To Find:  What is a reasonable time for it to take the baseball to land on the ground?

Solution:

Equation : h(t) = -16t^2 + 80t + 224

When factored this equation : h(t) = -16(t - 7)(t + 2)  --A

Now we are supposed to find  reasonable time for it to take the baseball to land on the ground i.e. h =0

So, substitute h = 0 in A

0= -16(t - 7)(t + 2)

t=7,-2

Since time cannot be negative

So, neglect -2

Thus it will taker 7 seconds for baseball to reach the ground.

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irinina [24]

The domain of a graph is the possible values of x, the graph can take.

<em>(b) The domain of the relation is the interval [-10,10]</em>

From the attached graph, we have the following observations on the x-axis.

  • <em>The value of x starts from -10</em>
  • <em>The value of x ends at 10</em>

So, the domain of x is from -10 to 10

Using interval notation, the domain of the relation is: [-10,10]

Read more about domains at:

brainly.com/question/16875632

5 0
2 years ago
To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

7 0
3 years ago
Bentley was playing with 3 old dog toys and 6 new dog toys. If Bentley has 18 old dog toys how many new dog toys does he have?
lawyer [7]

Answer: 36 new dog toys

Step-by-step explanation: With the given information, we can see that Bentley has a total of 18 old dog toys. IF Bentley is playing with a proportional relationship of toys, then all we have to do is multiply 6 by 6. Since 3 times 6 is 18, we have to do 6 times 6 which is 36.

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2 years ago
HELP PLEASE
nasty-shy [4]

Answer:

Part A: -2.5

Part B: -1

Part C: 1

Part D: 2.5

5 0
3 years ago
A new shirt for Samantha has a price of $99.75. Since there is no PST on children's clothes, the only tax she has to pay is 5% G
sleet_krkn [62]

Answer:

Samantha needs to pay $5 for the GST.

Step-by-step explanation:

In order to determine the amount of GST that Samantha needs to pay, you can use the rule of three to fnd the 5% given than 99.75 represents 100%:

$99.75→100%

     x    ←  5%

x=(99.75*5)/100= 5

According to this, the answer is that Samantha needs to pay $5 for the GST.

5 0
3 years ago
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