<span>From the pythagorean theorem, we know that x^2 and y^2 = 15^2, where x and y, where x is the base moving from the wall and y is the distance of the ladder sliding down. This means that y = sqrt(225 - x^2). Plugging in x = 13 gives us y = 2sqrt(14). Differentiating both sides of the original equations gives us dy/dt = 13 x 4 / 2sqrt(14) = 52/2sqrt(14) = 26/sqrt(14) ft/s.</span>
The selling price is 2.5 times the cost. If the cost goes up by 0.25, the selling price needs to go up by 2.5*0.25 = 0.63 in order to maintain the gross margin.
Answer:
250 students
Step-by-step explanation:
Given data
Let the total number of students be x
Number of students that plays instrument = 10
Hence
40% of x = 10
40/100*x= 100
0.4x=100
x=100/0.4
x= 250
Hence there are 250 students in total
Hello!
∠GCE = 14° (corresponding angles)
∠GEC = 180° - 78° - 14° (sum of angles in a triangle)
∠GEC = 88°
4x + 88° = 180°
4x = 180° - 88°
4x = 92°
x = 23°
Answer:
y = 70 and x = 20
Step-by-step explanation:
180 - 40 = 140
140/2 = 70
70 + 90 = 160
180 - 160 = 20