<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting
, the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;

Dividing, we get;

Taking
on both sides of the equation, we get;


Rounding off to the nearest whole integer, we get;

Thus, the value of x is 48°
Hence, Option c is the correct answer.
Answer:
The equation is:
f (t) = 4 + 5 (1 - cos (2pi t / 2))
Step-by-step explanation:
with the previous exercise we look for the equation for h = f (t)
So the data we have are
Wheel diameter = 10m (wheel radius = 5m)
1 wheel gets 1 revolution in 2 minutes.
the beginning of a entry will be related to that f (0) = 4
our wish is that f (z) get at least 4 with an amplitude of 5 (this value determines the radius of the wheel) for 2 minutes
with this the particle f (t) is transformed into
f (t) = 4 + 5 (1 - cos (2pi t / 2))
We know that the maximum value of cos in t will be 0, 1 -cos has minutes, the result will be as follows:
f (t) = 4 + 5 (1 - cos (2pi t / 2))
Answer:
B. (2 + 5).
Step-by-step explanation:
18 + 45 = 63
The prime factors of 63 = 3*3*7
So 63 is a multiple of 7.
The answer is (2 + 5) (=7).
Answer:
All events are independent
Step-by-step explanation:
You are given the table

Two events A and B are independent when

a) A="Chocolate"
B="Adults"
A and B="Chocolate and Adults"

Since
events are independent
b) A="Children"
B="Chocolate"
A and B="Children and Chocolate"

Since
events are independent
c) A="Vanilla"
B="Children"
A and B="Vanilla and Children"

Since
events are independent