Answer: <u>A. 35</u>
Step-by-step explanation: The largest prime number less than 50. The largest number less than 50 is 49, but it is not prime, because 49=7·7. The previous number is 48, but it is also composite, because 48=2·2·2·2·3. The previous number is 47, it is prime.
The smallest composite number greater than 10. The smallest number greater than 10 is 11, but it is prime. The next number is 12, it is composite, because 12=2·2·3.
The difference between the largest prime number less than 50 and the smallest composite number greater than 10 is<u> 47-12=35.</u>
Answer:
<h2>1</h2>
Step-by-step explanation:
Magnitude
of an earthquake is defined as
. Here
is the Intensity of the earthquake and
is the intensity of standard earthquake.
We have an earthquake that is 10 times more intense than a standard earthquake. Let us denote the intensity of the earthquake as
.
10 times more intense than standard earthquake ⇒ 
Magnitude of the earthquake = 
∴ Magnitude of the earthquake is 1.
The angle of rotation of triangle ABC to A'B'C is 105°
<h3>How to illustrate the information?</h3>
It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.
Point B is also on the x axis and point B' is in the second quadrant.
In this case, the angle that depicts the second quadrant is 105°.
In conclusion, the correct option is D.
The complete question is:
Triangle A’ B’ C’ is the image of A B C under a rotation about the origin, (0,0)
Determine the angle of rotation
A. -105 degrees
B. -75 degrees
C. 75 degrees
D. 105 degrees
Learn more about triangles on:
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Answer:
or 
Step-by-step explanation:
Given

Required
Solve for x using:

First, we need to identify a, b and c
The general form of a quadratic equation is:

So, by comparison with 

Substitute these values of a, b and c in




Split the expression to two
or 
To solve further in decimal form, we have
or 
or 
or 
Answer:
108x + 29
—————
180
Step-by-step explanation: