<span>When adding up fractions, the idea is to bring them to a common denominator. In our case, the common denominator is 12. So we must amplify each fraction in order to bring its denominator to 12. 1/6 becomes 1*2/6*2 = 2/12. 2/3 becomes 2*4/3*4. 1/4 becomes 1*3/4*3. When we sum them up we get 2/12 + 8/12 + 3/13 or 13/12, which is (12+1)/12 or 12/12 + 1/12 or 1+ 1/12. So the answer is C.</span>
Answer:
36.50
To two decimal places
Step-by-step explanation:
The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.
From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.
Cos 51°=x/58
Let the size of the leg be x
Making x the subject
x=58(Cos51°)
x=36.500058
Correct to two decimal place
x=36.50
OK, no figure, but from the comment is sounds like the grey area is the big circle minus the small circle.
The diameter of the small circle is 2 so its radius is 1 and its area πr² is π.
The radius of the larger circle is 4, so area 16π
The shaded area is 16π - π
Answer: 15π
The answer is 1,632. You multiply 16 by 17 then by 12 to get 3,264. But since it is a triangle, which is half of a rectangle, you divide by 2, and you get 1,632. Hope this helps!
Aye Sir!
Answer:
10.5 percents
Step-by-step explanation:
1)100+30=130 percents;
2) 130/100*15=19.5percents of discount from the first price
3) 130-19.5=110.5 percents- new price from the initial price
4)110.5-100=10.5 percents - the percentage of profit
