Answer: The side length of the pet shop sign=5/4 inches
Step-by-step explanation:
Given: Candy draws a square design with a side length of x inches for the window at the pet shop.
She takes the design to the printer and asks for a sign that has an area of
square inches.
Let y(x) =
differentiating both sides w.r.t x we get
y'(x)=32x-40
to find critical point x ,Put y'(x)=0 then
⇒32x-40=0
⇒x=5/4
Therefore the side length of the pet shop sign=5/4 inches.
Answer:
The rate of change in distance between the spy and the rocket is 10.8 km/min,
or about 180 m/sec.
Step-by-step explanation:
At "Time=0" the rocket is 6km from the spy.
The rocket travels vertically 8km in about 0.37 minutes, calculated by 8km÷21.6km/min.
At that point, the rocket is 10 km from the spy., calculated by 6²+8²=10²
The difference is 4 kiilometers over 0.37minutes, about 22.2 seconds
Divide Distance by Time to get Rate:
4km/0.37min = 10.8 km/min
That is about 180 meters per second.
Because the Median could be anywhere within the interquartile range the upper quartile could be between 10 and 15
Answer:
Vertical angles
Step-by-step explanation:
∠
and ∠
are formed by the same lines and are "opposite" to each other, so they are vertical angles by definition. Hope this helps!