Answer:
A and A- minus that is my best time
Answer:
5(8a-3)
Step-by-step explanation:
40a-15
Find GCF:
(40a-15)/5 = 8a-3
5(8a-3)
Answer:
See explanations below
Step-by-step explanation:
Given the following complex numbers in polar form:
w = 2(cos(90°) + i sin (90°))
sin 90 = 1
cos 90 = 0
Substitute into the formula:
w = 2(0+i(1))
w = 2(0)+2i
w = 0+2i
Hence the value of w in rectangular form is 0+2i
For z:
z =√2(cos(225°) + i sin(225°))
z = √2(-1/√2+ i (-1/√2))
z = -√2/√2 - √2(-1/√2)i
z = -1+ 1i
Hence the value of z in rectangular coordinate is -1+ 1i
For w + z:
w + z = 0+2i + (-1+1i)
w+z = 0+2i-1+i
w+z = -1+3i
Write w+z in polar form
Get the modulus
|w+z| = √(-1)²+3²
|w+z| = √1+9
|w+z| = √10
Get the modulus
theta = tan^-1(-3)
theta = -71.56
theta = 180 - 71.56
theta = 108.43
The expression in polar form is z = √10(cos108.43+isin108.43)
<h3>
Answer: $28.32</h3>
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Work Shown:
18% = 18/100 = 0.18
18% of 24 = 0.18*24 = 4.32
The tip is $4.32
Adding this tip amount onto the original bill leads to 4.32+24 = 28.32
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As a slight shortcut, we can use the multiplier 1.18 to get
1.18*24 = 28.32
This works because
1.18*24 = (1+0.18)*24 = 1*24 + 0.18*24 = 24 + 0.18*24
Notice the portion "24 + 0.18*24" can be found buried in the 1.18*24 expression. I applied the distributive property.
The multiplier 1.18 represents an increase of 18%
We can think of it as
100% + 18% = 1+0.18 = 1.18
Symmetric Property of Equality