Answer:
5 blue and 5 white tiles per row
Step-by-step explanation:
80/8 =(10-this is the amount per row)then divide 10 by 2 to factor in your different different tiles)
Work Check:
80/8rows=10/2colors=5 this means 5 blue and 5 white per row
$1142.25
Step-by-step explanation:
Gross pay per week = $1500
Social security deducted = 6.2% = $93
Medicare deducted = 1.45% = $21.75
Deductions for combined taxes = 16.2% = $243
Hence total deductions made from the gross salary
= 93+21.75+ 243
= $357.75
Hence, Net pay
= 1500 - 357.75
= $1142.25
Answer:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
Step-by-step explanation:
2x² + 2 = 3x
Subtract 3x from both sides so it equals 0:
2x² - 3x + 2 = 0
Divide both sides by 2:
x² - 3/2x + 1 = 0
Subtract 1 from both sides:
x² - 3/2x = -1
Take -3/2 and multiply it by 1/2 then square it:
(-3/2 • 1/2)²
9/16
Add this to both sides:
x² - 3/2x + 9/16 = -1 + 9/16
Rewrite the perfect square on the left and add the terms on the right:
(x - 3/4)² = -7/16
Square root both sides to get rid of the square:
x - 3/4 = ± √-7/16
Simplify the radical:
x - 3/4 = ± √7i/4
Add 3/4 to both sides:
x = 3/4 ± √7i/4
Your two solutions are:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
You can also convert to decimal if you need to (but I don’t recommend it):
x = 0.75 + 0.661438i
x = 0.75 - 0.661438i
Hope this helps!
Answer:
y = -1/3x + 4
Step-by-step explanation:
y = 3x +5
current slope m is 3, perpendicular is opposite inverse which is -1/3
Passing through (6,2):
y = mx + b
2 = -1/3(6) + b
2 = -2 + b
b = 4
Use the perpendicular m = -1/3 and b = 4 to form equation of line:
y = mx + b
y = -1/3x + 4
Answer:
Scale factor: 4:1
Ratio of perimeter: 4:1
Step-by-step explanation:
So basically, there is difference between the ratio of areas and the scale factor.
The area of a shape is equal to the scale factor squared.
We know that the ratio of the 2 areas is 16:1
So, the scale factor must be: ![\sqrt[2]{16}: \sqrt[2]{1}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B16%7D%3A%20%5Csqrt%5B2%5D%7B1%7D)
,
Which is basically 4:1
Because the ratio of the scale factor is also equal to the ratio of the perimeter, the ratio of perimeters is also 4:1
