Answer:
1.25 gallons per second
Step-by-step explanation:
To figure this out divide 50 by 40
I don't know how to explain this further, hope this is good enough.
- Que
Person 1 takes 3 hour 10 minutes to complete 9 procedures
<em><u>Solution:</u></em>
From given question,
Person 2 takes 30 minutes per procedure
Person 1 writes internal operating procedures 3 times faster than Person 2
So we get, Person 1 takes 3 times faster than Person 2
Person 1 takes 10 minutes per procedure
But two of the procedures for Person 1 took an hour each
So person 1 takes 60 minutes each for two of procedures ( since 1 hour = 60 minutes )
<em><u>Calculate how long it took Person 1 to complete 9 procedures:</u></em>
So for first 7 procedures person 1 would take 10 minutes per procedure and for last two procedures person 1 would take 60 minutes per procedure


We know that,
1 hour = 60 minutes
Therefore,
190 minutes = 60 minutes + 60 minutes + 60 minutes + 10 minutes
190 minutes = 1 hour + 1 hour + 1 hour + 10 minutes = 3 hour 10 minutes
Therefore Person 1 takes 3 hour 10 minutes to complete 9 procedures
If

represent a family of surfaces for different values of the constant

. The gradient of the function

defined as

is a vector normal to the surface

.
Given <span>the paraboloid

.
We can rewrite it as a scalar value function f as follows:

The normal to the </span><span>paraboloid at any point is given by:

Also, the normal to the given plane

is given by:

Equating the two normal vectors, we have:
</span>

Since, -1 = 2 is not possible, therefore
there exist no such point <span>
on the paraboloid
such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>
.
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:
h≈3.98cm this is the answer please mark me as a brainlist