Answer:
He can buy 2 outfits
Step-by-step explanation:
How to arrive at the answer is: Since it says that Mr. Trager bought a new bike for $273.98. Subtract $ 273.98 from $ 500.00. The answer is $ 226.02. Then it says he bought 3 bike reflectors for $ 7.23.To find how much the bike reflectors cost, multiply 7.23 by 3. The answer is $21.69. Then subtract $ 21.69 from $ 226.02. The answer is $ 204.33. Then it says he bought a helmet for $ 42.36. Subtract $ 42.36 from $ 204.33. The answer is $ 161.97. Then it says he plans to buy cycling outfits for $ 78.12 each. To find out how many he can buy, subtract $ 78.12 until you can't anymore. You can subtract $ 78.12 once and the answer is $ 83.85. It looks like we can subtract one more time. Then we subtract $ 78.12 again, and he has $ 5.73 left. We subtracted twice, so he can buy 2 outfits.

Let
, so that differentiating both sides wrt
gives

If
and
, the above reduces to

This is the slope of the tangent line, which has equation

Answer:
C
Step-by-step explanation:
SA=pi*r^2+pi*r*s
SA=3.14*3^2+3.14*3*8
SA=3.14*9+3.14*24
SA=103.62
SA= about 104 inches
Aubrey included the base (you can't put on a hat that has a bottom), the right work should be:
SAhat=pi*r*s
SAhat=3.14*3*8
SAhat=3.14*24
SAhat=75.36
SAhat= about 75
Thus, answer is C
Answer:
10.57 cm²
Step-by-step explanation:
Recall that the area of a triangle is gotten by (1/2)*base*height
If the height of the triangle is 5.45cm and the base is 3.88cm, then the area can be calculated by multiplying the two numbers and dividing it by 2.
5.45*3.88 = 21.146cm²
This still needs to be cut in half (otherwise we are yielding the area of a rectangle with these dimensions)
21.146 cm²/2 = 10.573 cm²
This can be rounded to the nearest hundredth
= 10.57 cm²