9514 1404 393
Answer:
Step-by-step explanation:
These "special" right triangles have side length ratios that it is useful to remember.
<u>45°-45°-90° triangle</u>
Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.
x = 18√2
<u>30°-60°-90° triangle</u>
Shortest to longest, sides have the ratios ...
1 : √3 : 2
That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.
y = 18√3
z = 2·18 = 36
Inessa = X
Ralph = Y
By the given ratio X/Y = 5/6
Solve for X: X = 5/6 * Y
Now Inessa gives 1/2 of hers to Ralph, which then totals 850"
Y + 1/2X = 850
Replace x :
Y + 1/2 * 5/6 * Y = 850
SImplify:
Y + 5/12Y = 850
Multiply both sides by 12 to remove the fraction:
12Y + 5Y = 10200
Simplify:
17Y = 10200
Divide both sides by 17:
y = 10200 / 17
y = 600
Ralph originally had 600 plants.
Answer:
9,000
Step-by-step explanation:
2,000,000 times 0.0045 = 9,000
Answer:
-2
Step-by-step explanation:
-4x-2x ≤ 17-5
-6x ≤ 12 | /(-6)
x ≥ -2
