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brilliants [131]
3 years ago
9

A balloon is going vertically upwards at a speed of 10 ms-1 . When it was 30 m above the ground, an object is dropped from it. H

ow long does the object take to reach the ground? (g = 10 ms-1 )​
Mathematics
1 answer:
belka [17]3 years ago
7 0

Answer:

t ≈ 3.65 s

Step-by-step explanation:

Let the distance the object travels after leaving the balloon be x.

Using Newton's equation of motion, we have;

s = ut + ½gt²

We are given;

s = 30 m

u = -10 m/s (negative because it is an upward motion)

Thus;

30 = -10t + ½(10)t²

30 = -10t + 5t²

5t² - 10t - 30 = 0

Using quadratic formula, we have;

t ≈ 3.65 s

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Answer: 59/3k+14

Step-by-step explanation:

4 0
3 years ago
How many solutions does the nonlinear system of equations graphed below have?
NeTakaya

Answer:

Three solutions.

Step-by-step explanation:

In order to solve system of equations by graphical method, we graph the system of equations. The intersection point (s) of the two graph would give us the solution.

If the graph of the equations intersect at 2 points then there will be 2 solutions, if there are 4 intersection then there would be 4 solutions and so on.

For the given graph, we  can see that there are three intersection points.

Hence, there would be three solutions.

3 0
4 years ago
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Find the volume of a cube with side length of 7 in.
anastassius [24]

Answer: 343 in³

Explanation: In this problem, we're asked to find the volume of a cube.

It's important to understand that a cube is a type of rectangular prism and the formula for the volume of a rectangular prism is shown below.

<em>Volume = length × width × height</em>

In a cube however, the length, width, and height are all the same. So we can use the formula side × side × side instead.

So the formula for the volume of a cube is side × side × side or s³.

So to find the volume of the given cube, since each side has a length of 7 inches, we can plug this information into the formula to get (7 in.)³ or (7 in.)(7 in.)(7 in).

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Who else likes my fursona? Give me your honest opinion 1-10<br><br><br><br> (3+(5-1+2)=n)
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4 0
3 years ago
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the seventh and eighth grade bands held a joint concert. together there was 188 band members. if the eight grade band is 3 times
Montano1993 [528]
8th grade = 3x = 3(47) = 141 band members.

7th + 8th = 188

7th = x
8th = 3x

x + 3x = 188    ; x = 47 ;  47 + 3(47) = 47 + 141 = 188
4x = 188
4x / 4 = 188 / 4
x = 47 --> 7th grade

8th grade = 3x = 3(47) = 141

To check:
x + 3x = 188    ; x = 47 ;
47 + 3(47) = 188
47 + 141 = 188
188 = 188



4 0
3 years ago
Read 2 more answers
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