Equivalent Fractions for 1/3:
1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30,
Answer:
18.0
Step-by-step explanation:
==>Given:
Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°
==>Required:
Value of x to the nearest tenth
==>Solution:
Using the Cosine rule: c² = a² + b² - 2abcos(C)
Let c = x,
a = 16
b = 30
C = 30°
Thus,
c² = 16² + 30² - 2*16*30*cos 30°
c² = 256 + 900 - 960 * 0.8660
c² = 1,156 - 831.36
c² = 324.64
c = √324.64
c = 18.017769
x ≈ 18.0 (rounded to nearest tenth)
Answer: 
Step-by-step explanation:
- A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
- An alternative hypothesis says that there is a statistical significance between two variables.
Claim 1. : Mean age of online dating service users is 40 years.
i.e. 
, since it has equals sign so we take this as null hypothesis.
Claim 2. : Mean age of online dating service users is not 40 years.
⇒ Null Hypothesis :
Alternative hypothesis :
The formula for volume is V=Bh where B is the area of the base.
plug in what they have given you:
600=B(15) you can divide both sides by 15
40=B We know that a cylinder's base is a circle so we can use the area f formula for a circle to solve for the radius.
40 = pi(r)^2 divide both sides by pi to get the r^2 alone
40/pi=r^2 square root both sides to get rid of the square
you should get
r=3.5 approximately
11. 6 + 5 * 2 + (-3)
6 + 10 - 3
16 - 3
13 <==
12. 67 + 84 - 12 * 4 / 16
67 + 84 - 48/16
67 + 84 - 3
148 <==
13. -5 * -6 - 25/5 - 2
30 - 5 - 2
23 <==
14. 18 - (9 + 3) + 2^3
18 - 12 + 8
14 <==
15. -24 / -6 * 2
4 * 2
8 <==
16. 8 [ (26 + 10) - 4(3 + 2)]
8 [ (36 - 4(5)]
8 [ 36 - 20 ]
8 [ 16 ]
128 <==
17. 6 * 3 / 9 * 2 + 1
18/9 * 2 + 1
2 * 2 + 1
4 + 1
5 <==
18. (9 - -4)(-8 - -7)
(9 + 4)(-8 + 7)
13 * -1
-13 <==
