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tresset_1 [31]
2 years ago
6

If a rock falls from a height of 40 meters on Earth, the height H (in meters) after x seconds is approximately

Mathematics
1 answer:
Julli [10]2 years ago
4 0
Once the rock hits the ground, we know that its height will be equal to 0m
because of this, we can replace H(x) with 0
40 - 4.9 {x}^{2}  = 0
now all we have to do is get x by itself
so..
4.9 {x}^{2}  = 40
then
{x}^{2}  = 40 \div 4.9
{x}^{2}  = 8.1632...
now take the square root of each side
x = 2.857...
2.857 seconds (rounded to the third decimal)

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Name three other common multiples of 8 and 12
Sladkaya [172]

The first few multiples of 8 are: 8, 16, 24, 32, 40, and 48. The first multiples of 12 are: 12, 24, 36, 48, 60, and 72.

Common multiple of 8 and 12 are 24 and every subsequent multiple of 24.

As 8×3=24

12×2=24

So 24 is a common multiple of 8 and 12 this means the other common multiples of 8 and 12 are the multiples of 24 like 48, 72, 96 etc.

3 0
1 year ago
A flagpole is 10 feet tall. It’s shadow is 12 feet long how far is it from the top of the flagpole to the end of its shadow?
Genrish500 [490]

Answer:

The shadow is 11 Ft. away from the pole base.

Step-by-step explanation:

I just usually do this trick in situations like these where if <em>x</em> equals 1, and <em>y</em> equals 2, then <em>z </em>is gonna be 3. 2 goes after 1, and 3 goes after 2. This trick can work in other counting-up situations like this, as long as the number go up, and are right next to each other.

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x-24%3D0" id="TexFormula1" title="x^{2} +2x-24=0" alt="x^{2} +2x-24=0" align
denpristay [2]
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8 0
3 years ago
What is the proportionality of 4 and 1.50?
Llana [10]

Answer:

y = 0.375x

Step-by-step explanation:

Let there are two variables, one independent variable x and another dependent variable y which are in proportionality relation.

So, y ∝ x

⇒ y = kx  ........... (1) {Where k is the proportionality constant}

Let us assume that the given values of 4 and 1.50 are values of x and y respectively.

Hence, from equation (1) we get, 1.5 = 4k

⇒ k = 0.375

So, the proportionality equation is y = 0.375x (Answer)

5 0
3 years ago
Find the value of c that makes each trinomial a perfect square.
gavmur [86]

Answer:

The answer to your question is the letter a.

Step-by-step explanation:

Data

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If this trinomial is a perfect square trinomial, the third term must be half the second term divided by the square root of the first term, and to the second power.

-Get half the second term

               12x/2 = 6x

-Divide by the square root of the first term

               6x/x = 6

-Express the result to the second power

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-Write the perfect square trinomial

             (x² + 12x + 36) = (x + 6)²

6 0
3 years ago
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