I only know (b) and 28 (c)
(b) Multiples of 120= 120,240,360,480,600
Multiples of 150= 150,300,450,600
Both numbers have 600 as their first common multiple so the ANSWER is 600
28. (a) Common factors of 24= 1,2,3,4,6,8,12,24
Common factors of 64= 1,2,4,8,16,32,64
8 is the only common factor for both 24 and 64 so 8 is the ANSWER
Answer:
58.5 mg
Step-by-step explanation:
Drink: 130% of RDA of vitamin X
RDA vitamin X = 45mg
130% of 45 = mg in the drink
130% = 130/100 = 1.3
130% of 45 = 1.3*45 = 58.5
So, this new drink has 58.5 mg of vitamin
Answer:
10,583 flexible cubes
9915 rigid cubes
Step-by-step explanation:
The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height
Surface area = A + 1/2·p·s
The volume of the pyramid = 1/3×A×h
Where:
A = Area of the base = 20 × 20 = 400 ft²
h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)
h = √(80² - (20/2)²) = 30·√7
The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³
If the cubes are flexible, approximately 10,583 cubes
For rigid cubes we have
Given that the height of the pyramid = 30·√7
The slope of the pyramid = 30·√7/10 = 3·√7
So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)
The bottom can hold 400 cubes
The next layer can hold 19×19 = 361
3rd 361
4th 361
5th 324
6th 324
7th 324
8th 324
9th
Continuing, we get a total of about 9915 rigid cubes in the pyramid.
Answer: DE, EW WD
Step-by-step explanation:
It looks shortest to longest...i think its the best answer. good luck :>
Exponent rules : (a^m)^n = a^(mn) and a^0 = 1
(4^9)^5 * 4^0 =
4^45 * 1 =
4^45 <==
