Answer:
its the 3rd choice.
Step-by-step explanation:
Firstly, we find angle BDC (180-90-30=60)
Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.
And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3
Now, we find angle BAC (180-90-(30+15)=45)
Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.
So since AB-DC=AD
14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)
Answer:
1. y= 25400(1 + 0.11)^x
2. 2019
Step-by-step explanation:
1. y = a(1 + r)^x <em> </em>
<em>(exponential growth formula :</em>
<em>a = initial value (the amount before measuring growth or decay)
</em>
<em>r = growth or decay rate (usually represented as a percentage and expressed as a decimal)
</em>
<em>
x = number of time units that have passed)</em>
y= 25400(1 + 0.11)^x
so in 1 year, in 1996, we would say
y=25400(1+0.11)^1
y=25400(1.11)
y=28194
2. I found the answer by plugging in numbers into x
with x = 24
y= 25400(1+0.11)^24
y= 310874
so in 24 years, the population will surpass 302438 which would be 1995+24= 2019
Answer:
<h3><em>
π/4 and 3π/4</em></h3>
Step-by-step explanation:
Given the equation 
, we are to find all the values of x in the interval [0, 2π] that satisfies the equation.
Simplifying the equation:
Square both sides of the equation;
The general formula for sin(x) is x = nπ + (-1)ⁿ∝ where n = 0, 1, 2, 3...
Since ∝ = 45° = π/4.
x = nπ + (-1)ⁿπ/4
when n = 1
x = π + (-1)¹π/4
x = π - π/4
x = 3π/4
<em>Hence the values of x within the given interval are π/4 and 3π/4</em>
Answer:
122,122,58,58
Step-by-step explanation:
