Answer:
The answer is number 4. 21.3 cm
Step-by-step explanation:
In the picture you can see the draw of the triangle and the formula of the Pythagorean Theorem.
We substitute the values in the Pythagorean Theorem
c² = a² + b²
We clear the equation for b
b² = c² - a²
b² = (24)² - (11)²
b² = 576 - 121
b² = 455
√b² = √455
b = 22.3 cm
Answer:
Step-by-step explanation:
21) CD - chord (segment)
22)FG - line
23) EC - segment - diameter
24) AB - segment - radius
25) H - Point
26) A - Point
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be
.
You're minimizing
subject to the constraint
. Note that
and
attain their extrema at the same values of
, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
The Lagrangian is
Take your partial derivatives and set them equal to 0:
Adding the first three equations together yields
and plugging this into the first three equations, you find a critical point at
.
The squared distance is then
, which means the shortest distance must be
.
Answer:
Step-by-step explanation:
When dividing numbers with powers, it is handy to remember that
so
Answer:
2.45 gallons of gasoline were in the tank before.
Step-by-step explanation:
Consider the provided information.
The tank can hold gallons of gasoline when completely full. He had some gas in the tank and added 10.3 gallons of gasoline to fill it completely.
We need to find: How many gallons of gasoline were in the tank before Javier added some?
For this, we need to subtract added gallons of gasoline from the capacity of the tank.
Hence, 2.45 gallons of gasoline were in the tank before.