The perimeter for the rectangle is 64.5m.
Answer:
r = 5 inches
Step-by-step explanation:
Area of circle, 
It is required to find the radius of the circle. The area of a circle is given by the formula :

r is radius of the circle

So, the radius of the circle is 5 inches.
The given expression is

We have to find the discriminant first . And for that, first we need to move whole terms of the left side to right side, that is


The formula of discriminant is

Substituting the values of a,b and c, we will get

And since the discriminant is greater than 0, or it is positive so we have two real roots.
Therefore the correct option is B .
Answer:
The velocities after 739 s of firing of each engine would be 6642.81 m/s in the x direction and 5306.02 in the y direction
Step-by-step explanation:
- For a constant acceleration:
, where
is the final velocity in a direction after the acceleration is applied,
is the initial velocity in that direction before the acceleration is applied, a is the acceleration applied in such direction, and t is the amount of time during where that acceleration was applied. - <em>Then for the x direction</em> it is known that the initial velocity is
5320 m/s, the acceleration (the applied by the engine) in x direction is
1.79 m/s2 and, the time during the acceleration was applied (the time during the engines were fired) of the is 739 s. Then: 
- In the same fashion, <em>for the y direction</em>, the initial velocity is
0 m/s, the acceleration in y direction is
7.18 m/s2, and the time is the same that in the x direction, 739 s, then for the final velocity in the y direction: 
Because the two angles add up to equal 90, you would make an equation set to equal 90. On the other end you add the measures of your angles together because they are adding up to equal 90. This would look like 2x+5+35=90 and you solve from here. Add like terms making it 2x+40=90 then you subtract 40 from both sides making it 2x=50 and then divide by 2 on both sides which leaves you with x=25.