Answer:
3/
10
= 0.3
Step-by-step explanation:
Multiple: 2/5
* 3/4
= 2 · 3/5· 4
= 6/20
= 3 · 2/10 · 2
= 3/10
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 20) = 2. In the following intermediate step, cancel by a common factor of 2 gives 3/
10
.
In other words - two fifths multiplied by three quarters = three tenths.
<h2>
Answer:</h2><h2>
The city population last year = 2233 approximately</h2>
Step-by-step explanation:
The current population of the city = 245,600
Rate of increase = 110 %
The population in previous year = ?
Let x be the population of previous year
x(110%) = 245600
x = 
= 2232.7
The city population last year = 2233 approximately
3 consecutive even integers.....x, x + 2, and x + 4
x + x + 2 + x + 4 = 270
3x + 6 = 270
3x = 270 - 6
3x = 264
x = 264/3
x = 88
x + 2 = 88 + 2 = 90
x + 4 = 88 + 4 = 92 <=== the biggest integer
Square both given expressions and add them together. Make use of trig identities.
(sin(a) +sin(b))^2 = sin(a)^2 +2sin(a)sin(b) +sin(b)^2 = 5/3
(cos(a) +cos(b))^2 = cos(a)^2 +2cos(a)cos(b) +cos(b)^2 = 1
Adding, we have
sin(a)^2 +cos(a^2) +2(cos(a)cos(b) +sin(a)sin(b)) +sin(b)^2 +cos(b)^2 = 2 2/3
Of course, the first and last pairs of terms are 1 and 1, and the middle product is 2cos(a-b), so you have
1 + 2cos(a-b) +1 = 2 2/3
cos(a-b) = 1/3
