Answer:
Option B. 67.6°
Step-by-step explanation:
In the given triangle ABC angle C is the right angle, side AB = 21 and side AC = 8.
We have to find the measurement of angle A.
Now from cosine rule we can write
Here Base in the corresponding side of the angle A that is 8 and hypotenuse is 21.
Now we put the values
Cos x = 8/21 = 0.3809
Or x = 67.61°
Therefore measurement of angle A or x = 67.6° is the answer.
The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:
Provided that:
Using l'Hospital's rule:
Therefore:
Hence; c = 0
Learn more about the limit of a function x here:
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Given
Your family has a circular swimming pool.
The radius of the pool is 9 feet and and its depth is 4 feet.
Find out the volume of the pool.
To proof
As depth is given in the question that means the shape of the swimming pool
is cylinder.
Formula
where r = radius
h = height
now
radius of the pool is 9 feet and and its depth is 4 feet.
put all the values in the above equation
we get
use 3.14 to approximate pi
we get
= 1017.4 ( approx )feet²
Hence proved