Answer:
6.15.
Step-by-step explanation:
3.75 + 2 2/5
= 3.75 + 2.40
= 6.15.
Answer:
t = 0.293 s and 14.52 s
Step-by-step explanation:
The heights of the ball in feet is given by the equation as follows :
Where t is the number of seconds after the ball was thrown.
We need to find is the ball 18 ft above the moon's surface.
Put S = 18 ft
It is a quadratic equation. Its solution is given by :
So, the ball is at first 0.293 s and then 14.52 s above the Moon's surface.
Answer:
x = 4.25
Step-by-step explanation:
First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).
Now, the equation can be written as 9^(8-x) = 9^(3x-9)
Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:
8-x = 3x-9.
8 = 4x - 9
17 = 4x
x = 4.25
Hey so if every time the minute hand clicks it turns 13.5 degrees and the question is asking us to find the fraction of a circle it covers in a third of a minute we must divide 13.5 by 3.
1) 13.5 / 3 = 4.5 degrees
Now we must find out what fraction of a circle 4.5 degrees is. If a circle is 360 degrees and the minute hand turns 4.5 degrees every third of a minute then we must divide 4.5 by 360 to get our answer.
2) 4.5/60
Finally let's simplify our answer
3) (4.5 / 60) / 1.5 = 3/40
ANSWER: The fraction of the circle the minute hand covers every third of a minute is 3/40
Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find BD and BC
Solving BD
Considering angle at D, we have:
Solve for BD
So:
To solve for BC, we make use of Pythagoras theorem
This gives
Collect like terms
Take square roots
Expand
Split
