log(3) = log(12/4)
Use the quotient rule [ 
] to simplify.
log(12/4) = log(12) - log(4)
Simplify using the given values for 12 and 4.
1.079 - 0.602
0.477
Therefore, log(12) ≈ 0.477
Best of Luck!
Step-by-step explanation:
Answer:
- <u>The zero is x = 5, and it represents that the diver will enter the pool's surface 5 feet in front of the diving board.</u>
Explanation:
The function is f(x) = - x² - 5x + 50.
Where:
- f(x) is the vertical distance of a diver from a pool's surface, and
- x is the horizontal distance of a diver from the diving board.
A zero of f(x) represents a point where the diver is at the surface of the pool. There might be two possible zeros.
Solve the equation to determine the zeros:
- Multiply both sides by - 1: x² + 5x - 50
- Factor: (x + 10) (x - 5) = 0
- Use zero product property: x + 10 = 0 or x - 5 = 0
- From x + 10 = 0 you get x = - 10
- From x - 5 = 0 you get x = 5.
- The negative zero is not valid as it would be a point behind the diving board, so the meaningful zero is when x = 5, meaning that the diver will touch the surface of the pool at 5 feet in front of the diving board.
A real life example of an acute angle is the angle that's made in letter V.
<h3>What is a acute angle?</h3>
It should be noted that an acute triangle simply means an angle that measures less than 90 degrees.
In this case, the real life example of an acute angle is the angle that's made in letter V. Other examples include slizing a pizza into different shapes.
Learn more about acute angles on:
brainly.com/question/17335144
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Answer:
They are vertical angles
x = 5
The mesure of the angles are 35, 35, 145, and 145
Step-by-step explanation:
vertical angles are derectly acrost from each other.
the equations 3x+20 and 10x-15, put into the equation 3x+20=10x-15 will solve for x.
20 = 10x − 15 − 3x
20 = 7x - 15
20 + 15 = 7x
35 = 7x
35/7 = x
5 = x
x = 5
The equations solved are 3 x 5 + 20 = 35 and 10 x 5 - 15 = 35
The sum of all the angles is 360, therefore 35 + 35 = 70
360 - 70 = 290
290/2 = 145
The last two angles are 145 degrees
