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3 years ago

73=( 3)/(43) Need to find the missing number before the 3

Mathematics

1 answer:

Butoxors [25]3 years ago

3 0

Answer:

the missing number is 84

Step-by-step explanation:

Let the missing number be represented by N. Then we have ...

7*3 = N*3/(4*3)

Canceling common factors on the right, we have ...

7*3 = N/4

Multiplying by 4 gives ...

4*7*3 = N = 84

The missing number is 84.

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the initial vertical velocity of a rocket shot straight up is 42 meters per second. How long does it take for the rocket to retu

Snowcat [4.5K]

It takes 4.3 seconds for the rocket to return to earth.

The equation is:
$0=-9.8t^2+v_0t+h_0$
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:

$0=-9.8t^2+42t$

We will use the quadratic formula to solve this. The quadratic formula is:
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Plugging in our information we have:
$t=\frac{-42\pm \sqrt{42^2-4(-9.8)(0)}}{2(-9.8)}
\\
\\=\frac{-42\pm \sqrt{1764-0}}{-19.6}
\\
\\=\frac{-42\pm \sqrt{1764}}{-19.6}
\\
\\=\frac{-42\pm 42}{-19.6}=\frac{-42-42}{-19.6} \text{ or } \frac{-42+42}{-19.6}
\\
\\=\frac{-84}{-19.6}\text{ or }\frac{0}{-19.6}
\\
\\=4.3\text{ or }0$

x=0 is when the rocket is launched; x=4.3 is when the rocket lands.

8 0

3 years ago

The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an

Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

(w + 7)× (w + 4) = 116

Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = $\dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, w = $\dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}$

Or, w = $\dfrac{-11\pm \sqrt{473}}{2}$

or, w = $\dfrac{-11\pm 21.7}{2}$

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

3 0

3 years ago

use the substitution method to solve the system of equations. Choose the correct ordered pair. y=4x 8x+y=18

tino4ka555 [31]

Answer:

(3/2, 6)

Step-by-step explanation:

y = 4x

8x + y = 18

this says y is 4x so you can replace y with 4x

8x + 4x = 18

12x = 18

/12 /12

x = 3/2

now sub x into y = 4(3/2)

y = 12/2

y = 6

8 0

3 years ago

Read 2 more answers

1. Use the following graph to determine the coordinated of the y-intercept.

jarptica [38.1K]

Answer:

I believe it's C. (0.4)

Step-by-step explanation:

6 0

2 years ago

Please help Assssaaaappp!!! <br> almost due and im having trouble.

USPshnik [31]

A. Nancy has the greatest spread because her longest training time was 105 and her shortest being 82, making the spread 23, and Peter’s spread is only... Longest: 112 Shortest: 92 making it 20!
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3 0

2 years ago

7*3=( *3)/(4*3) Need to find the missing number before the *3

73=( 3)/(43) Need to find the missing number before the 3