Sin60 =b/10
<span>√3/2 = b/10
</span>b = <span>√3 / 2 (10)
</span>b = 5<span>√3
</span>
d^2 = 10^2 - (5√3)^2
d^2 = 100 - 75
d^2 = 25
d = 5
sin30 = b/a
1/2 = 5√3 / a
a = 5√3 (2)
a = 10√3
c^2 = (10√3)^2 - (5√3)^2
c^2 = 300 - 75
c^2 = 225
c = 15
so
a =10√3, b = 5√3, c = 15,d = 5
answer is
D. last choice
Answer:
Step-by-step explanation:
<u>Given function</u>
- V(x) = 275000(1.09)^(2/3x)
<u>Every year the value is changing at the rate:</u>
- (1.09)^(2/3) = 1.059 ≈ 1.06
The rate of 1.06 is equivalent of 6% increase per year
We first an take out a factor of 2x
2x(x^2 + 7x + 12)
Then factor inside the brackets
2x(x+4)(x+3)
This is the concept of geometry;
to get the length of arc BC we shall proceed as follows;
angle DOC=48°
angle BOC=180-48=132°
curcumfrence of a circle is given by:
π×diameter×(theta)/360
The length of arc BC will be given by:
length,circumference=π×d×132/360
=11/30πd units
=1.152d units
where d is the diameter of the circle