Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
The volume of rectangular prism is the product of its length, width and height.
So the volume V of prism with length
yards, width
yards and height of 4 yards will be:
Thus the volume of prism as a mixed number in simplest form will be
cubic yards
Mark received £ 132
<em><u>Solution:</u></em>
Given that £440 is divided between David, Mark & Henry
Let "d" be the share of david
Let "m" be the share of mark
Let "h" be the share of henry
Total amount is 440
Therefore,
share of david + share of mark + share of henry = 440
d + m + h = 440 ------- eqn 1
<em><u>David gets twice as much as Mark</u></em>
d = 2m ----- eqn 2
<em><u>Mark gets three times as much as Henry</u></em>
m = 3h
------ eqn 3
<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>
Thus Mark received £ 132
Answer:
6250
Step-by-step explanation:
if each partner has a even number of money from 1.6 million, that each person had $100,000, and to pay the lawsuit evenly than each person will have to pay $6250.
1.6 mill divided by 16= 100,000
6 mill divided by 16= 6250.
0.45+0.45= $0.90 + 5.50x2+2.25=$13.25 13.25+0.90 =$14.50 he would get $5.50 back out of the 20$ spent
