Answer:
The coordinates of C(22/3, 7)
Step-by-step explanation:
Partitioning between two points A and B in the ratio a:b.
The x-coordinate of the point of partition C is found at
XC = XA*(b/(a+b)+XB(a/(a+b) ..............(1)
Similarly, the x-coordinate of the point of partition is found at
YC = YA*(b/(a+b)+YB(a/(a+b)...............(2)
Given A(8,8), B(4,2), partition ratio of A:B = 1:5,
substitute in (1)
XC = 8*5/6+4*1/6 = 44/6 = 22/3
YC = 8*5/6 + 2*1/6 = 42/6 = 7
The coordinates of C(22/3, 7)
Answer:
<h2><u><em>
The lengths of the sides of a small cube are = foot. Volume of cube = side x side x side. V = = cubic foot. Number of small cubes that can be packed in the prism = = = = 180 cubes. Hence, 180 cubes can be packed into rectangular prism. Part B: Unit cube volume is 1x1x1 =1 cubic foot. So, 180 cubes will have 180 cubic foot volume.</em></u></h2>
Step-by-step explanation:
Answer:
1931.7N
Step-by-step explanation:
We are told in the question that :
An auto ( a car) weighs = 2500 pounds
It s inclined at n horizontal Ange of 10°
We are asked to find the force that would prevents it from rolling down the street.
Since the unit for Force = Newton or kgm/s²
Step 1
Convert Weight in pounds to kg
1 pound = 0.453592kg
2500 pounds =
2500 pounds × 0.453592kg
= 1133.981kg
Step 2
Find the force that would prevents it from rolling down the street.
Force = Mass × Acceleration due to gravity × sin θ
Acceleration due to gravity = 9.81m/s
Force = 1133.981kg × 9.81 × sin 10°
Force = 1931.7237321 N
Approximately = 1931.7N
Answer:
Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4
Step-by-step explanation:
Given : Samantha has a shelf that is 95 over 4 inches wide.
To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?
Solution :
The thickness of shelf = inches
Each book thickness = inches
Let the total number of books that could be arranged in the shelf be 'n'.
Substitute the values,
Therefore, option 1 is correct.
19, because the number of books is 95 over 4 divided by 5 over 4
Answer:
30
Step-by-step explanation:
The area would have been 80*x=1600.
that means x=60. So, two pennant bases are 60.
That means one pennant base is 30.