The value of x in the proportion is x = 39/8
<h3>How to solve the proportion?</h3>
The proportion is given as:
3/8 =x/13
Cross multiply
8 * x = 3 * 13
Evaluate
8x = 39
Divide by 8
x = 39/8
Hence, the value of x in the proportion is x = 39/8
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Answer:
there are 4 pints
Step-by-step explanation:
64 / 16 = 4
Answer:
2
Step-by-step explanation:
example A(2a,0),B(2b,0)
C(2b,2c),D(2a,2c)
mid point of AC=((2a+2b)/2,(0+2c)/2)=(a+b,c)
mid point of BD=((2b+2a)/2,(0+2c)/2)=(a+b,c)
∴midpoint of diagonals same or diagonals bisect each other.
Answer:
D. 59.66
Step-by-step explanation:
The formula is <em>A = ![\pi r^{2}[/tex\ Also the radius is half of the diameter. and [tex]\pi](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%5B%2Ftex%5C%20%3C%2Fem%3EAlso%20the%20radius%20is%20half%20of%20the%20diameter.%20and%20%5Btex%5D%5Cpi)
= 3.14</em>
so we need to find the area's
9 x 9 = 81
81 x 3.14 = 254.34
Next circle.
10 x 10 = 100
100 x 3.14 = 314
Now to find the difference.
314 - 254.34 = 59.66
59.66
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The parabolic motion is an illustration of a quadratic function
The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
<h3>How to model the function?</h3>
Given that:
x stands for time and y stands for height in feet
So, we have the following coordinate points
(x,y) = (5,0), (11,0) and (10,80)
A parabolic motion is represented as:
y =ax^2 + bx + c
At (5,0), we have:
25a + 5b + c = 0
c= -25a - 5b
At (11,0), we have:
121a + 11b + c = 0
Substitute c= -25a - 5b
121a + 11b -25a - 5b = 0
Simpify
96a + 6b = 0
At (10,80), we have:
100a + 10b + c = 80
Substitute c= -25a - 5b
100a + 10b - 25a -5b = 80
75a -5b = 80
Divide through by 5
15a -b = 16
Make b the subject
b = 15a + 16
Substitute b = 15a + 16 in 96a + 6b = 0
96a + 6(15a + 16) = 0
Expand
96a + 90a + 96 = 0
This gives
186a = -96
Solve for a
a = -16/31
Recall that:
b = 15a + 16
So, we have:
b = -15 * 16/31 + 16
b =-240/31 + 16
Take LCM
b =(-240 + 31 * 16)/31
[tex]b =256/31
Also, we have:
c= -25a - 5b
This gives
c= 25*16/31 - 5 * 256/31
Take LCM
c= -880/31
Recall that:
y =ax^2 + bx + c
This gives
y = -16/31x^2 + 256/31x - 880/31
Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
Read more about parabolic motion at:
brainly.com/question/1130127
