Answer:
41 units
Step-by-step explanation:
Rectangles have right angles, so we can use Pythagorean theorem to find the diagonal.
c² = a² + b²
c² = 9² + 40²
c² = 81 + 1600
c² = 1681
c = 41
Answer:
25
Step-by-step explanation:
"y varies inversely with x" means:
y = k / x
where k is a constant.
When x = 5, y = 10.
10 = k / 5
k = 50
y = 50 / x
When x = 2:
y = 50 / 2
y = 25
Answer:
following are the solution to the given points:
Step-by-step explanation:
In point a:
calculating unit vector:
the point Q is at a distance h from P(6,6) Here, h=0.1
the value of Q= (5.92928 ,6.07071 )
In point b:
Calculating the directional derivative of 
at P in the direction of 
In point C:
Computing the directional derivative using the partial derivatives of f.
Answer: A. There all 90 degrees
Step-by-step explanation:
Given: Three parallel lines are cut by a transversal and one angle is measured to be 90 degrees.
We know that if two lines cut by transversal the following pairs are equal:
- Vertically opposite angles.
- Corresponding angles.
- Alternate interior angles.
- Alternate exterior angles.
If one angles measures 90°, then its supplement would be 90°.
Then by using above properties , we will get measure of all angles as 90°.
Answer:
log (16)=2 in base 3x-5
==>16=2^(3x-5)
==>2^4=2^(3x-5)
==>4=3x-5
==>3x=9
==>x=3
Step-by-step explanation:
