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
Answer:
b
Step-by-step explanation:
9 x 37 = 333
Answer:
B. $8
Step-by-step explanation:
Given:
Total payment, T = $160
Hourly rates = $t/hour
= total payment/total time worked
The question said, "worked 12 more hours than the amount she is paid per hour".
Total time worked = (12 + t) hour
Therefore, Hourly rates of payment, t = 160/(12 + t)
t^2 + 12t - 160 = 0
Solving the above quadratic equation,
t = -20 and 8
t = $8
<span>cylindrical vase
r=radius </span>cylinder=radius cone
h= height cylinder=height cone
Volume cylindrical vase (V1)= 63 cm³=pi*r² *h
cone
Volume cone (V2)=pi*r² *h
if radius cylinder=radius cone and height cylinder=height cone
then V1=V2
therefore
V2= 63 cm³
the answer is The volume of cone is 63 cm³
