Answer:
money made by michael = 15*3 +6*5 = 45+30= $75
Step-by-step explanation:
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC of the figure, the tangent of angle C is equal to divide the opposite side to angle C (side AB) by the adjacent side to angle C (side BC)
so

substitute the given values

simplify

Answer:
34.44 miles
Step-by-step explanation:
Distance covered bty the two trains :
Distance = speed * time
Time = 30 minutes = 0.5hr
Distance of train 1 = 64 * 0.5 = 32 miles
Distance of train 2 = 52 * 0.5 = 26 miles
Included Angle = 72°
Using cosine rule :
a² = b² + c² - 2bcCosA
Let Distance between the trains after 30 minutes = a
a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)
a^2 = 1700 - 514.20427
a^2 = 1185.7957
a = sqrt(1185.7957)
a = 34.435
a = 34.44 miles
Answer:
There are 20,000 milligrams in one 2-decagram container . Thus option D is correct.
Step-by-step explanation:
The given information is one type of medicine in 2 decagram container.
Here, we know ,
1 decagram = 10 grams
and, 1000 milligrams =1 gram
now -: 2 decagram = 2 × 10grams {since 1decagarm = 10 grams }
= 20 grams .
then , = 20× 1000milligrams {since 1 gram = 1000 milligrams}
=20,000 milligrams .
Hence, the correct option is D that is 20,000 milligrams .
Answer:
1 gallon every 16 minutes
Step-by-step explanation:
If after 32 minutes the container has 6 gallons left that means it has lost 2 gallons of water. So we now divide the 32 minutes by the 2 gallons of water to get that 1 gallon of water leaks every 16 minutes.