Answer:
x = 19.6
Step-by-step explanation:
By applying cosine rule in ΔBCD,
cos(30)° = ![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAdjacent%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
= ![\frac{BC}{BD}](https://tex.z-dn.net/?f=%5Cfrac%7BBC%7D%7BBD%7D)
![\frac{\sqrt{3}}{2}=\frac{BC}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D%5Cfrac%7BBC%7D%7B16%7D)
BC = ![8\sqrt{3}](https://tex.z-dn.net/?f=8%5Csqrt%7B3%7D)
Now, by applying sine rule in ΔBAC,
sin(45)° = ![\frac{\text{Opposite side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
![\frac{1}{\sqrt{2}}=\frac{AB}{BC}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cfrac%7BAB%7D%7BBC%7D)
![\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cfrac%7Bx%7D%7B8%5Csqrt%7B3%7D%7D)
x = ![8\sqrt{6}](https://tex.z-dn.net/?f=8%5Csqrt%7B6%7D)
x = 19.59
x ≈ 19.6
Answer:
x=0
Step-by-step explanation:
-8-3x=-8(1-7x)
add 8 to both sides =( -3x=56x)
subtract 56x from both sides (-59x=0)
divide both sides by -59 = (x=0)
Answer:
A=πr2
Step-by-step explanation:
area = pie * radius (to the power of 2)
pie = 3.14
radius = middle point till the line of the circle
Answer:
I think the answer is A
Step-by-step explanation:
So sorry if the answer is incorrect
Try this solution:
1. Note, that 100 is divisible by 4, and 999 is not divisible by it, only 996. This is an arithmetic sequence.
2. a1;a2;a3;a4;...a(n) the sequence, where a1=100; a2=104; a3=108; a4=112; ... etc., and a(n)=996. n=?
3. using a formula for n-term of the sequence: a(n)=a1+d(n-1), where a(n)=996; a1=100 and d=4 (according to the condition ' is divisible by 4'). Then 100+4(n-1)=996; ⇒ 4n=900; ⇒ n=225 (including 100).
answer: 225