Answer: 53.44
Step-by-step explanation:
Notice the picture below
now, if the arc "x" is 48°, and the arc across the circle is also 48°, then those chords are congruent, notice the chords in red
Answer:
Step-by-step explanation:
4) Given that 3x<15
Divide by +3 without affecting inequality
x<5
Hence answer is (-∞,5)
5) -6x<18
Add 6x to both sides
0<6x+18
Subtract 18
-18<6x
Divide by +6
-3<x
Hence answer is (-3,∞)
6) 2x+6>x-7
Subtract x-6 from both the sides
x >-13
So answer is (-13,∞)
7) -4x+8≥14
Add 4x-14 to both the sides
-6≥4x
x≥-3/2
Hence answer is [-3/2,∞)
Answer:
floor tiles,ceiling tiles wire fencing are all used with multiplying signed numbers
Step-by-step explanation:
Answer:
A)
Decay
B)
Initial value is 5.
C)
The decay factor is 0.75.
D)
75%
Step-by-step explanation:
An exponential function is given by:

Where a is the initial value and r is the rate.
We have the function:

So, a = 5 and r = 1/4.
A)
Remember the guidelines:
- It is exponential growth if r > 1.
- And it is exponential decay if r < 1. (And r must be positive.)
Our rate is 1/4 or 0.25.
It is less than 1, so our function is exponential decay.
B)
The initial value is the value in front of our rate.
So, our initial value in this case is 5.
C)
The decay factor will be 1 - r, where r is our rate.
Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.
So, we are decaying by a factor of 0.75.
D)
To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.
So, 0.75 will be 75.0 % or smply 75%.
It is a 75% decay.