It takes him 90 mins to leaven from
Answer:
We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .
Step-by-step explanation:
Answer:
![SA=6x^2\ cm^2](https://tex.z-dn.net/?f=SA%3D6x%5E2%5C%20cm%5E2)
Step-by-step explanation:
<u><em>The question in English is </em></u>
A cube whose edge measures x cm has as its surface area
we know that
The surface area of a cube is equal to the area of its six square faces
so
![SA=6b^2](https://tex.z-dn.net/?f=SA%3D6b%5E2)
where
b is the length side of each square face of the cube
we have
![b=x\ cm](https://tex.z-dn.net/?f=b%3Dx%5C%20cm)
substitute
![SA=6(x)^2](https://tex.z-dn.net/?f=SA%3D6%28x%29%5E2)
![SA=6x^2\ cm^2](https://tex.z-dn.net/?f=SA%3D6x%5E2%5C%20cm%5E2)
A
The velocity is found by differentiating the given cubic.
x'(t) = 2t^3 - 15t^2 + 24t This is the distance
x'(t) = 6t^2 - 20t + 24 This is the velocity (first derivative)
x"(t) = 12t - 20 This is the acceleration (second derivative)
x'(2) = 6(2)^2 - 20*2 + 24
x'(2) = 24 - 40 + 24
x'(2) = 48 - 40
x'(2) = 8 units per second.
x"(2) = 12(2) - 20
x"(2) = 24 - 20
x"(2) = 4 units per second^2
B
at t = 2 the acceleration is positive. That's a pretty good indication that the velocity is increasing.
C
When x(t) is minus, then the particle is moving left.
At t = 0 the object is not moving (x(t) = 0)
Any value less than 0 and the object is moving left. Try a couple of values.
x(-1) = 2(-1)^3 - 15(-1)^2 +24(-1) Whatever that is is minus.
t < 0 will make the object move left.
Answer:
11 1/5 minutes
Step-by-step explanation:
Luke listens to the three most popular songs on the radio this week. The length of each song is shown. #1 song: 3 1/2 minutes #2 song: 2 57 /60 minutes #3 song: 4 3/4 minutes. What is the length of the three songs all together?
song 1: 3 1/2 minutes
song 2: 2 57 /60 minutes
song 3: 4 3/4 minutes
Total length of the three songs = song 1 + song 2 + song 3
= (3 1/2 + 2 57/60 + 4 3/4) minutes
= 7/2 + 177/60 + 19/4
= (210+177+285) / 60
= 672/60
= 56/5
= 11 1/5 minutes
Total length of the three songs = 11 1/5 minutes