Answer:
15.43 ft
Step-by-step explanation:
To solve this question, one should use the concept of similar triangles.
The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:


The distance of the top of the pole to the ground is 15.43 ft.
Answer:
(A)
Step-by-step explanation:
From the diagram attached:
Angle 1 and Angle 6 are Co-Interior Angles.
The sum of co-interior angle is 180 degrees.
Therefore:

The measure of angle 1 is therefore 56.5 degrees.
The correct option is A.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z=
+
+
a) Zx b) Zy
In differentiation, if y = axⁿ, y' =
. Applying this in question;
Given the function z = x⁸+
+

Note that y is treated as a constant since we are to differentiate only with respect to x.
For Zy;

Here x is treated as a constant and differential of a constant is zero.
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution
We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ + v₂c₂
40(0.32) = 10(0.2) + 30c
Answer:
C. Also, known as the 3rd one.
Step-by-step explanation: