Answer is 91.56 You add all the numbers up and divide by 9(There are 9 numbers in the sequence).
Answer:
100 i think
Step-by-step explanation:
This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m
4). x/5 =8
x = 40
5). 2x/3 = 12
2x = 36
x = 36/2 = 18
6). x + 26 =12
x = 12 - 26 = -14
7). 8x + 1 = -23
8x = -23 -1
8x = -24
x = -24/8 = -3
8). 2x + 5 =15
2x = 15 - 5
2x = 10
x = 10/2 = 5
9). 3x - 1 = -29
3x = -29 + 1
3x = -28
x = -28/3 Or 9.33
10). 8x - 12 = 53
8x = 53 + 12
8x = 65
x = 65/8 Or 8.12
11). 4x + 7 = 25
4x = 25 - 7
4x = 18
x =18/4 = 9/2 Or 4.5
Answer:
4Joules
Step-by-step explanation:
According to Hooke's law which states that extension of an elastic material is directly proportional to the applied force provide that the elastic limit is not exceeded. Mathematically,
F = ke where
F is the applied force
K is the elastic constant
e is the extension
If a spring exerts a force of 6 N when stretched 3 m beyond its natural length, its elastic constant 'k'
can be gotten using k = f/e where
F = 6N, e = 3m
K = 6N/3m
K = 2N/m
Work done on an elastic string is calculated using 1/2ke².
If the spring is stretched 2 m beyond its natural length, the work done on the spring will be;
1/2× 2× (2)²
= 4Joules
