Answer:
30
Step-by-step explanation:
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, <u>30</u>, 40, 60, 120
The factors of 150 are: 1, 2, 3, 5, 6, 10, 15, 25, <u>30</u>, 50, 75, 150
Then the greatest common factor is 30.
-3/5
Pythagorean formula :
x^2 + y^2 = r^2
(-8)^2 + (-6)^2 = r^2
64 + 36 = 100
r^2 = 100
r= 10
sin is the y coordinate over the radius :
-6/10
58 plus tip of .20
so
58 times 0.2 = 11.6 is the tip
now we add tax (Presuming we son't tax the tip)
58 times 0.07 = 4.06 the tax
so its
58 + 11.6 + 4.06 = $73.66 total cost
Let x be your first alloy
2/5x+7/10(30-x)=1/2(30)
4x+210-7x=150
3x=60
x=20
So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy
153 in²
Figure I:
length = 12 in
width = 6 in
Area of figure I = 12 * 6
= 72 in²
Figure II:
length = 13 in
width = 5 in
Area of figure II = 13 * 5
= 65 in²
Figure III:
side = 4 in
Area of figure III = 4 * 4
= 16 in²
Area of irregular shape = 72 + 65 + 16
= 153 in²