You need to work out the area so
Area of a rectangle is l x b
So
A= l x b
A= 8 x 4
A= 32
Therefor 32 cubic feet of dirt is needed
If you look through the chart, you'll see that in each column,
the amount of money donated is 1/5 the number of lunch
specials sold.
The equation is:
Donation amount = (1/5) · (lunch specials sold) .
The constant of proportionality in money per lunch special sold
is $1/5 or 20 cents.
Answer:
T ≥ -2
Step-by-step explanation:
Given
Temperature = 2° below 0°
Required
Represent as an inequality
First, we need to calculate the temperature in the morning.
2° below 0 means.
Temperature = 0° - 2°
Temperature = -2°
Next, we determine the temperature at any time.
The question says the temperature continues to rise during the day.
Represent this with T
This means T will be greater than -2°
However, we need to consider where the temperature started from.
In other words, T = -2
Combine T = -2 and T = -2 together, we have:.
T ≥ -2
Hence, the inequality that represents the scenario is T ≥ -2
105° can be expressed as 60°+45°. What we have then is sin(60°+45°). The sum pattern for sin is sin(a)cos(b)+cos(a)sin(b). We will fill in as follows: sin(60)c0s(45)+cos(60)sin(45). Now draw those special right triangles in the first quadrant to get the exact values for each. The sin of 60 is
, the cos of 45 is
, the cos of 60 is 1/2, and the sin of 45 is
. When we put all that together we get
. Simplifying all of that we have
. We can put that over the common denominator that is already there and get
. Not sure if that's simplified enough; you may be at the point in class where you are rationalizing your denominator, but I'm not sure, and if you're not, I don't want to confuse you.
