Answer:
58.5
Step-by-step explanation:
since a triangle consists 180 degrees, 180-90-31.5 would equal 58.5
This is very simple. So you use two formulas:
Rectangle: Length • Width
Semicircle: Area = 
With that, you do 0.8 ÷ 2 = 0.4 because we will be using radius. When solved, you get 0.2512... But for this problem, I will be rounding everything to the nearest hundredths.
Area of semicircle: ≈ 0.25
Now we solve for the rectangle. That is very easy. Just multiply 0.75 • 0.8 and you get 0.6
For this problem, I'm not sure why they make you round to the nearest centimeter, but if you do, you get 1 cm. Otherwise,
Round to nearest tenth: 0.9
Round to nearest hundredths: 0.85
First we need to find the total annual costs for both the plans.
In case of leasing:
Fixed monthly cost = $420
So, yearly cost = 420 x 12 = $5040
Cost per mile = $0.08
For x miles driven, the cost per year for leasing will be = 5040 + 0.08x
In case of purchasing:
Fixed yearly cost = $4600
Cost per mile = 0.10
For x miles driven, the cost per year for leasing will be = 4600 + 0.10x
We want to find for what number of miles will the cost of leasing will be no more expensive than the cost of purchasing.
So,
Cost of leasing ≤ Cost of purchasing
5040 + 0.08x ≤ 4600 + 0.10x
440 ≤ 0.02x
22000 ≤ x
Thus, if if the number of miles driven are equal to or less than 22,000 leasing will be no more expensive than purchasing.
Answer:

Step-by-step explanation:
Recall that:

This implies that:


In general:

We can therefore write the function rule:

Answer:
B. ∠DBC
Step-by-step explanation:
∠DBA is an acute angle
∠GFE is also an acute angle
∠MLK is a right angle, neither acute or obtuse (it's in its own category)