So we have to put the value of 1:3 in a ratio
1 : 3
= 3:y
Ask yourself what do I have to multiply one by to get three ( the answer is three)
Because one side is multiplied by three, you have to multiply the right hand side by three to get y
3*3 is 9
Therefore, the y for 3 hours is 9
Then, we have to make another ratio
1:3
= 5:x
Ask yourself what do I have to multiply by one to get five (the answer is five)
So you multiply the other side by five as well
3*5=15
Therefore, the y for five hours is 15
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles given and equate to 180
4x - 13 + 15 + x + 18 = 180 ( simplify left side )
5x + 20 = 180 ( subtract 20 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
∠A = 4x - 13 = (4 × 32) - 13 = 128 - 13 = 115°
∠C = x + 18 = 32 + 18 = 50°
As a check : 115° + 15° + 50° = 180° ← correct
Answer:
√3
Step-by-step explanation:
We cannot solve this operation directly. Because cot7pi/6 is undefined.
We know that 1/tan= cot.
so we will first take the reciprocal of cot that is 1/tan.
So,
cot7pi/6= 1/tan 7π/6
∵7π/6 = 210 where pi=180
so cot7π/6 =1/tan210
cot7π/6 =1/1÷√3
cot7π/6 = √3
Answer:
43.35pi m cubed
Step-by-step explanation:
Volume of a cylinder
= pi r^2 h
Where r = radius
h = height
Given r = 1.7m and
h = 15m
Volume = pi x (1.7)^2 x 15
= pi x 1.7 x 1.7 x 15
Multiply through
Volume = 43.35 pi m cubed
C. 6 2/12 because you put the common denominator (12) by multiplying 1/4 x 3/3 then add it to get 5 14/12 or 6 2/12
D.5 2/15
