Answer:
1
1
3
3
Step-by-step explanation: just cuz
Using the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
sinR/30=sin96/54
sinR=30sin96/54
R=arcsin(30sin96/54)°
R≈33.5° (to nearest tenth of a degree)
Answer:
- amount lent: ₹6000
- interest received: Kamal, ₹600; Anand, ₹615.
Step-by-step explanation:
For principal P invested at simple interest rate r, the returned value in t years is ...
A = P(1 +rt)
If K is Kamal's returned value, the given numbers tell us ...
K = P(1 +0.05·2) = 1.1P
__
For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...
A = P(1 +r)^t
If A is Anand's returned value, the given numbers tell us ...
A = P(1.05)² = 1.1025P
This latter amount is RS.15 more than the former one, so we have ...
1.1025P = 1.1P +15
0.0025P = 15 . . . . . . . . subtract 1.1P
P = 6000 . . . . . . . . . . . divide by 0.0025 . . . . the amount lent
Kamal received 1.1P -P = 0.1P = 600 on the investment.
Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.
Answer:
Step-by-step explanation:
From the question we are told that:
Generally the equation for Area of a sector A is mathematically given by
<h3>
Answer: C. 13</h3>
===============================================
Explanation:
In general if we have these two vectors
u = (a,b)
v = (c,d)
Then the dot product of them is
u dot v = a*c + b*d
We multiply the corresponding coordinates, then add up the products.
-----------------------
In this case,
u = (3,2)
v = (1,5)
u dot v = 3*1+2*5
u dot v = 3 + 10
u dot v = 13
