Answer:
x = 16
y = 16√3
Step-by-step explanation:
sin(30 degrees) = 1/2
x = 32/2 = 16
cos(30 degrees) = √3/2
y = 16√3
Answer:
-36m + 900 < 44m + 100
Step-by-step explanation:
Given that:
The first barrel contains 900 liters of the solution; &
The second barrel contains 100 liters of solution.
So, Laura drains the first barrel at the rate of 36 liters/ min
Since Laura is draining the solution in the first barrel;
Then; we have - 36m + 900 litres
Also; Laura fills the second barrel at a rate of 44 liters per minute.
Since Laura is filling the barrel; we have: 44m + 100
Therefore; the inequality representing when the second barrel contains a greater or equal amount of solution than the first barrel can be expressed as:
- 36m + 900 < 44m + 100
Answer:
(600 mi) × (5280 ft/mi) × (12 in/ft)
Step-by-step explanation:
A "unit multiplier" is a multiplier that has a value of 1. That is, the numerator and denominator have the same value. For units conversion problems, the numerator quantity has the units you want, and the denominator quantity has the units you're trying to cancel.
You have units of miles. You know that ...
1 mile = 5280 feet
1 foot = 12 inches
You want to get to units of inches. With these conversion factors, you can do it in two steps (as the problem requests). The first conversion is from miles to feet using the unit multiplier (5280 feet)/(1 mile). This gives you a number of feet.
Then the second conversion is from feet to inches, so you use the one that lets you put inches in the numerator and feet in the denominator:
(12 inches)/(1 foot)
When you multiplie these all out, units of miles and feet cancel, and you're left with inches.
_____
With the above conversion factors, you can write unit mulipliers of either ...
(5280 ft)/(1 mi) . . . to convert to feet
or
(1 mi)/(5280 ft) . . . to convert to miles.
Answer:
ab=16
ca=4
4a=32
Step-by-step explanation:
a*b=8*2=16
c*a=1/2*8=4
4*a=4*8=32
hope it helped xx
Answer:90 degrees
Step-by-step explanation:
Angle b is a right angle
