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umka2103 [35]
2 years ago
8

The function h(t) = -4.9t2 + h0 gives the height (h), in meters, of an object t seconds after it falls from an initial height (h

0). The table shows data for a pebble that fell from a cliff.
TIME HEIGHT
1 55.1
2 40.4
3 15.9

To the nearest tenth of a second, how long after the pebble falls will it hit the ground?
Mathematics
2 answers:
sveticcg [70]2 years ago
7 0
It will hit the ground after 3.499 seconds.

To solve this you first have to find the value of h(0) in this equation. That is the height from which it was dropped.

You can input any of the points into the equation and solve for the missing part. You will get 60 for the height.

The use the quadratic formula to see that it reaches the ground after 3.499 seconds.
vodomira [7]2 years ago
5 0

Answer:

Equation: h(t)=- 4.9(t)^2 + 60

Seconds: 3.5

Step-by-step explanation:

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4 0
3 years ago
The value pie/2 is a solution for the equation 2sin^2x-sinx-1=0<br><br> true or false
Rasek [7]

Answer:

Yes, \frac{\pi }{2} is a solution

Step-by-step explanation:

Recall that sin(\frac{\pi }{2})=1. By replacing \frac{\pi }{2} in the given trigonometric equation, we get 0 (zero) as a result, so this value is a solution:

2*(sin(\frac{\pi }{2} ))^2-sin(\frac{\pi }{2})-1= 2*(1)^2-1-1=2-2=0

6 0
3 years ago
4x + 1 + x = -4<br> Can anybody help me solve this ?
ValentinkaMS [17]

Answer:

Simplify the equation

Step-by-step explanation:

4x + 1 + x + -4

= 4x + x + 1 - 4

= 5x + -3

= 5x - 3

Hope this helps

7 0
3 years ago
Read 2 more answers
A student's tuition was $5530. A loan was obtained for 4/7 of the tuition. How much was the loan?
Sophie [7]
Multiply the two numbers to find the amount of the loan.

5530/1* 4/7= 22120/7= 3160

Final answer: $3,160
5 0
3 years ago
What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches? Round to the nearest tenth.
devlian [24]

Answer:

The length of the diagonal of a poster board is 35.6\ in

Step-by-step explanation:

Let

x----> the length of the diagonal of a poster board

we know that

Applying the Pythagoras Theorem

x^{2}=22^{2}+28^{2} \\ \\x^{2}=1,268\\ \\x=35.6\ in

4 0
2 years ago
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