Answer:
370 millimeters of compound B is needed for 666 millimeters of solution.
Step-by-step explanation:
Given that:
4 millimeters of compound A are used for every 5 millimeters of compound B.
The scientist wants to make 666 millimeters of solution.
Let,
x be the multiplier number of the compounds in the solution.
Then,
4x + 5x = 666
9x = 666
Dividing both sides by 9
Millimeters of compound B = 5x = 5(74) = 370 millimeters
Hence,
370 millimeters of compound B is needed for 666 millimeters of solution.
When building a house, one must know the slope of the roof. Another example is when building skate parks, for half pipes require knowledge of slope.
Answer:
Dollars
Quantitative
Step-by-step explanation:
The units of measurement of variable of interest are Dollars because the calculated mean and standard deviation of the data set of variable of interest indicates the measurements constitutes of dollars. The type of data is quantitative because the data can be meaningfully represented as numerically.
Answer:
63/65
Step-by-step explanation:
Recall that sin(a-b) = sin(a)cos(b) - cos(a)sin(b)
Therefore, we have:
sin(a-b) = sin(a)cos(b) - (-3/5)(5/13)
sin(a-b) = sin(a)cos(b) + 3/13
Since sin(x) = opposite/hypotenuse and cos(x) = adjacent/hypotenuse, then if cos(a) = -3/5, sin(a) = 4/5. Likewise, if sin(b) = 5/13, then cos(b) = 12/13.
Therefore, sin(a-b) = (4/5)(12/13) + 3/13 = 48/65 + 3/13 = 48/65 + 15/65 = 63/65