Answer:
1.25cm
Step-by-step explanation:
<em>Complete question:</em>
The prism has a volume of 35 cm cubed workout h, the height of the triangular cross section
<em>length=7cm</em>
<em>width = 4cm</em>
<em></em>
The volume of the prism is expressed as;
Volume = Base Area * Height
Given
Volume of the prism = 35cm^3
Base Area = length * width
Base Area = 7cm * 4cm
Base Area = 28cm^2
Substitute the given values into the formula
35 = 28* Height
Cross multiply
35 = 28 * Height
35 = 28 Height
Height = 35/28
Height = 1.25cm
Hence the height of the triangular cross section is 1.25cm
Answer:
1/6.
Step-by-step explanation:
x / 4/7 = 7/24 where x is the dividend.
7x/4 = 7/24
Cross multiply:
7x * 24 = 4*7
x = 28/(7*24)
= 28/168
= 1/6.
Explanation:The initial number of horses = 24
year = 2011
Coordinates (2011, 24)
when the number of horses became 32, year was 2014
Coordinates (2014, 32)
We find the slope = rate of change
slope = change in number of horses/change in number of years
slope = (32-24)/(2014-2011)
slope = 8/3
The point slope formula:
The number of horses in year 2020
using points: (2011, 24) and (2020, y), we equate with the slope since it is constant for any two points on this model.
8/3 = (y - 24)/(2020 - 2011)
8/3 = (y - 24)/9
cross multiply:
8(9) = 3(y - 24)
72 = 3y - 72
72 + 72 = 3y
144 = 3y
144/3 = 3y/3
y = 48
Hence, there will be 48horses in 2020 (option A)
We know that
the transformation
f(x)--------> f(x+2)
that means
A point (x,y) in graph of f(x)------> become a point (x-2, y) in graph of f(x+2)
hence
point (5,-8)-------------> become a point (5-2,-8)-----> (3,-8)
the answer is
the point (3,-8)
