Answer:
Step-by-step explanation:
4 3/4 - 2 2/3 = ?
When adding or subtracting fractions, the denominators must be the same. We need to find a common denominator for the fractional portions of each mixed number. In other words, we are looking for equivalent fractions for 3/4 and 2/3. By listing the multiples of 4 and 3, we see that 12 is common to both numbers do we can use 12 as our common denominator.
4, 8, 12, 16, 20...
3, 6, 9, 12, 15....
4 3/4 If we multiply the numerator and denominator by 3, our equivalent fraction is 4 9/12.
2 2/3 If we multiply the numerator and denominator by 4, our equivalent fraction is 2 8/12.
Now we can subtract
4 9/12 - 2 8/12 = 2 1/12.
So Cameron needs an additional 2 1/12 cups of flour.
Answer:
19.6875
Step-by-step explanation:
<span>Don't forget S is measured in thousands of units so you are solving for :
100 < 74.5 + 43.75Sin(πt/6)
25.5 < 43.75Sin(πt/6)
Sin(πt/6) >25.5/43.75 = 0.582857
ASrcSin(πt/6) > 0.62224 radians
πt/6 > 0.62224
t > 6 x 0.62224/π = 1.1884 (4dp)
This initial value occurs when the sine value is increasing and it will reach its maximum value of 1 when Sin(πt/6) = Sinπ/2, that is when t = 3.
Consequently, monthly sales exceed 100,000 during the period between t = 1.1884 and 4.8116
[3 - 1.1884 = 1.8116 so the other extreme occurs at 3 + 1.8116]
Note : on the basis of these calculations, January is 0 ≤ t < 1 : February is 1 ≤ t < 2 :....May is 4 ≤ t < 5
So the period when sales exceed 100,000 occurs between Feb 6 and May 25 and annually thereafter.</span>
Answer:
The statement that is accurate is csc(θ)=1.06
Step-by-step explanation:
Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.
Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.
So:
cotθ=adjacent/opposite = 17/47= 0.36
cscθ=hypotenuse/opposite = 50/47=1.06
Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06
Therefore, the statement that is accurate is csc(θ)=1.06.
a^2+b^2=c^2
0.75^2+3^2=c^2
0.5625+9=c^2
______ ____
/9.5625= /c^2
<span> 3.092329= c ( the third side)</span>