Answer:
Step-by-step explanation:
Given: The figure
Required: Find x and y
The relationship between length x, length 15 and angle 32 is as follows:
So, we have:
Cross multiply:
--- approximated
Similarly:
The relationship between length y, length 15 and angle 32 is as follows:
So, we have:
Cross Multiply:
Solve for y
--- approximated
Answer:
An average of about 450 hours; You could say something along the lines of "If the pianist who practices an average of 45 hours per week practices everyday for three months, they would play for approximately 450 hours total."
Step-by-step explanation:
We could write an equation to make it simpler to figure out, making the number of hours after three months = n, 4 = weeks in a month, 3 = the number of months, and 45 = the number of hours after a week. As an equation, it would look like:
45 * 3 * 4 = n
We know 3 *4 is 12, so the equation becomes 45 * 12 = n.
45 * 12 = 540, therefore the pianist practices an average of approximately 540 hours over a three-month period of time.
108/4 = 27 pieces you multiply 36 x 3 = 108 and the denominator stays the same so 108/4 equals to 27 pieces
Answer:
Option C is the answer.
Step-by-step explanation:
To find the equation of the straight line equation i.e, we must be given with the two points 
and 
Since from the graph the two points closest to the line are
and 
Equation of line with two points closest to the line :
where m is the slope.
First we find the slope(m)=
on simplify we get, 
.
Now, to find the equation of the line:
Apply distributive property on right hand side, we get
Adding both sides by 36, we get
.
The equation for the linear model in the scatter plot obtained by the two closest point 
closest to the line is,
Answer:
B
Step-by-step explanation:
Using the cofunction identity
sin x = cos(90 - x)
Given
sin(3x + 19) = cos(5x - 25), then
3x + 19 = 90 - (5x - 25)
3x + 19 = 90 - 5x + 25
3x + 19 = 115 - 5x ( add 5x to both sides )
8x + 19 = 115 ( subtract 19 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12 → B
