Answer:
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(1/3×4/4)+(1/4×3/3)=?
Complete the multiplication and the equation becomes
4/12+3/12=?
The two fractions now have like denominators so you can add the numerators.
Then:
4+3
12= 7/12
This fraction cannot be reduced.
Therefore:
1/3+1/4=7/12
Answer:
The length of each piece is 13 m.
Step-by-step explanation:
Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?
a) Each piece measures 312m
c) Each piece measures 13m
d) each piece mites 92m
b) Each piece measures 9m and 75cm
Total length, L = 78 m
Number of pieces, n = 6
length of each piece,
d = L/n = 78/6 = 13 m
So, the correct option is (c).
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 
Answer:
x ≈ 30.7
Step-by-step explanation:
Reference angle = 61°
Opposite side length = x
Adjacent side length = 17
Applying the trigonometric function TOA, we have:
Tan 61 = opp/adj
Tan 61 = x/17
17 × Tan 61 = x
x ≈ 30.7
(not sure what variable needs to be used so I just put x)
35x=140
x=4