Answer:
The answer to your question is x = 52° and y = 137°
Step-by-step explanation:
Process
1.- Find the value of x using the large right triangle, remember that the sum of the internal angles in a triangle equals 180°.
x + 38 + 90 = 180
x = 180 - 90 - 38
x = 52°
2.- To find y, we notice that x and y -9 are supplementary angles so their sum gives 180°.
x + y - 9 = 180
Substitution
52 + y - 9 = 180
y = 180 + 9 - 52
y = 137°
I think the answer is 1/23
Please tell me if I'm wrong.
Answer:
-8/46
Step-by-step explanation:
slope is the change of y over the change in x
-5 - 3 divided by 44 - (-2)
-8/46
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
To find their average miles per hour we can divide the total miles by the hour used:
4 2/3 ÷ 1 2/3
=4x3+2/3 ÷ 1x3+2/3
=14/3 ÷ 5/3
In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.
=14/3 x 3/5
Factorize 3 in both amounts:
=14/1 x 5/1
=14/5
=2.8 miles/hour
Therefore their average speed is 2.8 miles/hour.
Hope it helps!
