Answer:
NO. Emma is not correct.
Step-by-step explanation:
✔️Initial value for Function A:
The initial value is the y-intercept of the graph. The y-intercept is the point at which the line intercepts the y-axis. From the graph given, the line intercepts the y-axis, at y = 2, when x = 0.
Initial value for Function A is therefore = 2
✔️Initial Value of Function B:
To find the initial value/y-intercept for Function B, do the following:
Using two pairs of values form the table, (2, 2) and (4, 3), find the slope:
Slope (m) = ∆y/∆x = (3 - 2) / (4 - 2) = 1/2
Slope (m) = ½
Next, substitute (x, y) = (2, 2) and m = ½ into y = mx + b, to find the intial value/y-intercept (b).
Thus:
2 = ½(2) + b
2 = 1 + b
2 - 1 = b
1 = b
b = 1
The initial value for Function B = 1
✅The initial value for Function A (2) is not the same as the initial value for Function B (1). Therefore, Emma is NOT CORRECT.
Given:
Radius of the cone = 6
Slant height of the cone = 10
To find:
The lateral area, surface area and volume of the cone.
Solution:
Let h be the height of the cone. By Pythagoras theorem, we get




Taking square root on both sides, we get


The lateral area of a cone is:



The surface area of a cone is:




Volume of cone is:




Therefore, the lateral area of a cone is
sq. units, the surface area of a cone is
sq. units and the volume of the cone is
cubic units.
Answer:

Step-by-step explanation:
Radius = r = 3 in.
Height = h = 2 in.
<u>Volume:</u>
![\sf Volume \ of \ the \ cylinder = \pi r^2 h\\\\V = (3.14)(3)^2(2)\\\\V =(3.14)(9)(2)\\\\V = (3.14)(18)\\\\V = 56.5 \ in.^3\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20Volume%20%5C%20of%20%5C%20the%20%5C%20cylinder%20%3D%20%5Cpi%20r%5E2%20h%5C%5C%5C%5CV%20%3D%20%283.14%29%283%29%5E2%282%29%5C%5C%5C%5CV%20%3D%283.14%29%289%29%282%29%5C%5C%5C%5CV%20%3D%20%283.14%29%2818%29%5C%5C%5C%5CV%20%3D%2056.5%20%5C%20in.%5E3%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
8.3*4 = 33.2 kg.
Hopefully that is correct
Since Yi Ting weighs 8.3 and her brother is 4 times heavier you would multiply those two numbers to get the answer.