1. sqrt 52 = 7.211 rounds to 7
2. irrational number
3. sqrt 441 = 21....rational
4. 12^2 + 3^2 = h^2
144 + 9 = h^2
153 = h^2
sqrt 153 = h
12.4 = h <===
5. 6^2 + b^2 = 18^2
36 + b^2 = 324
b^2 = 324 - 36
b^2 = 288
b = sqrt 288
b = 16.97 rounds to 17 <==
6. 39^2 + 52^2 = c^2
1521 + 2704 = c^2
4225 = c^2
sqrt 4225 = c
65 = c
(39 + 52) - 65 = 91 - 65 = 26 miles shorter <==
7. 4^2 + b^2 = 16^2
16 + b^2 = 256
b^2 = 256 - 16
b^2 = 240
b = sqrt 240
b = 15.49 rounds to 15.5 <==
8. ?
20x+ 5y = 15
Move 20x to the other side. Sign changes from +20x to -20x
20x-20x+5y=-20x+15
5y=-20x+15
Divide both sides by 5
5y/5=y ( Cross out 5 and 5, divide by 5, 1*1*y=y)
-20/5=-4x
15/5=3
y=-4x+3 or y=3-4x
Answer: y=-4x+3 or y=3-4x
-3(x-14)+9x=6x+24
-3x+42+9x=6x+24
-3x+9x-6x=-24-42
0=-18
Given :
A clerk is paid $45.25 per hours for 40 hours a week, 1.50 times the regular rate of overtime and double the rate for a holiday.
To Find :
How much does the clerk get if he works overtime for 5 hours and 2 hours on holidays.
Solution :
Amount from regular job = $ 45.25 × 40 = $1810 .
Amount from overtime = $ (45.25×1.5) × 5 = $339.375 .
Amount from holiday = $ (45.25×2) × 5 = $452.5 .
Total amount clerk will get is :
T = $( 1810 + 339.375 + 452.5 )
T = $2601.875
Hence, this is the required solution.
I hope this helps you
-cos²x= sin²x-1
4.sinx = sin²x-1+4
sin²x-4.sinx +3=0
(sinx-3)(sinx-1)=0
sinx≠3
sinx =1
SİN90=1
