Answer:
20 inches
Step-by-step explanation:
Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by
A =1/2(a + b)h where a = length along the top of the cape = 24 in, b = length along the bottom of the cape = 36 in and h = height of the cape
So, h = 2A/(a + b)
= 2 × 600 in²/(24 in + 36 in)
= 1200 in²/60 in
= 20 in
So, the height of the cape is 20 inches
Answer:
where is the picture
Step-by-step explanation:
where is the picture
Answer: The required solution is
Step-by-step explanation: We are given to solve the following differential equation :
Let us consider that
be an auxiliary solution of equation (i).
Then, we have
Substituting these values in equation (i), we get
So, the general solution of the given equation is
Differentiating with respect to t, we get
According to the given conditions, we have
and
From equation (ii), we get
Thus, the required solution is
Answer:
1.) a line parallel to the line will have slope 2/3
2.) a line perpendicular to the line will have slope -3/2
Step-by-step explanation:
The slope of parallel lines must always be the same. Therefore, if a line is parallel to y = 2/3x - 4, the other line must have slope 2/3 and not have the same y-intercept (otherwise it would represent the same line).
The slope of perpendicular lines are reciprocals with opposite signs. Basically, if you have one slope of one equation, to find the perpendicular slope you would simply flip the slope over and change the sign.
For example: if the slope was 2/3, the perpendicular slope is flipping 2/3 upside down to get 3/2 and changing the sign from positive to negative = -3/2
Answer:
40.5
Step-by-step explanation:
Since QS is an angle bisector then PQs and SQR are similar. Using the similarity theorem;
PQ/PS = QR/SR
45/20 = x/18
Cross multiply
20x = 45 * 18
20x = 810
x = 810/20
x = 40.5
Hence the value of x is 40.5