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lisov135 [29]
3 years ago
11

A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds a

nd v0 is the initial velocity. If the intial velocity is 49 m/sec, after how many seconds will the rocket reach its maximum height?
Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Step-by-step explanation:

s = -4.9t² + 49t

The vertex of the parabola is at t = -b/(2a).

t = -49 / (2 × -4.9)

t = 5

The rocket reaches its maximum height after 5 seconds.

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ABCD is a parallelogram. If ad = 2x + 10 and CD = 4x - 20, for what value of x will abcd be a rhombus
dimaraw [331]

Answer:

15

Step-by-step explanation:

All sides of a rhombus are equal, so

2x+10=4x-20 \\ \\ 10=2x-20 \\ \\ 2x=30 \\ \\ x=15

3 0
1 year ago
130 apples at the party. There were 3 times as many yellow apples as green apples, there were twice as many red apples as yellow
kipiarov [429]

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

6 0
3 years ago
Is 5.78778778 ..a rational or irrational number
Orlov [11]

5.78778778 ….. is an irrational number because the decimal can't be represented as a ratio or fraction.

<h3>What are irrational numbers?</h3>

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, x/y where x and y are integers.

In other words, an Irrational Number is a real number that cannot be written as a simple fraction.

For example π = 3.1459....

π cannot be written as a fraction or ratio.

The decimals of irrational number goes on forever without repeating.

The decimals are continuous.

Therefore, 5.78778778 ….. is an irrational number because the decimal can't be represented as a ratio or fraction.

learn more on irrational number here: brainly.com/question/3386568

#SPJ1

8 0
1 year ago
I need help with solving trinomial equations.
Svetlanka [38]
Send me a pic of problem please
6 0
3 years ago
Find X and missing angle
Ede4ka [16]

Answer:

15

Step-by-step explanation:

all triangles are 180 so 180-75-90 =15

6 0
3 years ago
Read 2 more answers
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