That would be 1/5 in simplest form you can divide both numbers by 12 and when you do you get 1/5. Hope this helps!
Answer:
1.2 x 10^4 = 12,000
4.5 x 10^-3 = 4.5 x 1/(10^3) = 4.5/1000 = 0.0045
3.8 x 10^3 = 3,000
7.5 x 10^3 = 7,000
largest is 1.2 x 10^4
Step-by-step explanation:
gotchu fam
Using the law of sins:
side a / sin (angle A) = side b / sin(Angle B)
Side a is opposite angle A, so from the picture we know side a = 50, angle A is 58 degrees and angle B is 48 degrees.
replace those values in the formula we get:
50 / sin(58) = b/ sin(48)
so now we can cross multiply the 2 fractions to get:
50 * sin(48) = b*sin(58)
to get b by itself, divide both sides by sin(58) to get:
b = (50*sin(48)) / sin(58)
b = 43.82
You may need to round the answer as needed.
Answer:
D.
(0,5) and (-4,2)
E.
(-4,4) and (-1,7)
Step-by-step explanation:
To solve this problem, we apply the slope formula and compare with the known slope to see if the answer tallies;
Slope =
A.
(0,5) and (-4,8)
x₁ = 0 y₁ = 5
x₂ = -4 y₂ = 8
Slope =
=
B.
(6,-1) and (10,2)
x₁ = 6 y₁ = -1
x₂ = 10 y₂ = 2
Slope =
=
C.
(1,5) and (4,7)
x₁ = 1 y₁ = 5
x₂ = 4 y₂ = 7
Slope =
=
D.
(0,5) and (-4,2)
x₁ = 0 y₁ = 5
x₂ = -4 y₂ = 2
Slope = (2-5) / (-4-0) = 3/4
E.
(-4,4) and (-1,7)
x₁ = -4 y₁ = 4
x₂ = -1 y₂ = 7
Slope =
=
Both radio stations will play the same song on the same day <u>5 times</u> in 30 days.
<u><em>Explanation</em></u>
A radio station plays yesterday by the Beatles once every 2 days. Another station plays the same song once every 3 days.
For finding the day on which both radio stations will play the same song, we will just <u>find the LCM(Least Common Multiplier) of 2 and 3</u>. So, the LCM will be 6.
That means, <u>on every 6th day, both radio stations will play the same song</u>.
So, the number of times that both radio stations will play the same song on the same day in 30 days 