u = 10.4 and v = 12
Solution:
In the given 2 sides of a triangle are 60°, 60°.
Sum of all the angles of a triangle = 180°
60° + 60° + third angle = 180°
⇒ third angle = 180° – 60° – 60°
⇒ third angle = 60°
All angles are equal, therefore the given triangle is an equilateral triangle.
⇒ All sides are equal in length.
⇒ v = 12
The line drawn from the top angle divides the triangle into two equal parts
and the line is perpendicular.
12 ÷ 2 = 6
Using Pythagoras theorem,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ u = 10.4
Hence, u = 10.4 and v = 12.
Answer:
5/12
Step-by-step explanation:
count the vowels: mAthEmAtIcAl --> a,e,a,i,a: 5
count the letters: 12
-->probability 5/12
Interest is equal to rs 72
Simple Interest is computed by multiplying the principal to the interest rate and the time.
I = P * r * t
Principal = rs 400
Interest rate = 6%
Term / time = 3 yrs
I = 400 * 6% * 3
I = 72 the total interest that must be paid in 3 yrs.
Answer:
ln [2^4 * 5^3]
Step-by-step explanation:
Rewrite 4 ln 2 as ln 2^4 and 3 ln 5 as ln 5^3.
Then 4 In 2+3 In 5 = ln 2^4 + ln 5^3, which in turn becomes
ln [2^4 * 5^3]
