Answer:
C
Step-by-step explanation:
So you know that maple stations is 3 miles west and 5 miles north of town center and Henry takes the subway from town center to maple station. The route that he travels is the hypotenuse and you can use the pythagorean theorem to find the length of that line. The pythagorean theorem is a^2+b^2=c^2, where a and b are the legs and c is the hypotenuse
You would get 3^2+5^2=c^2
9+25=c^2
34=c^2
The value of c is approximately 5.83
Answer:
8w=48
This answer can be simplified by dividing both sides which contain the variable, which in this case is 8. Dividing 48 by 8 gets 6. This means that w equals 6.
We will first find the volume of the base:
V 1 = 9² · 5 = 81 · 5 = 405 in³
Then the volume of the upper solid - pyramid. We must find the height of the pyramid:
h² = 11² - 4.5² = 121 - 20.25 = 100.75
h = √100.75
h = 10.037429
V 2 = 1/3 · 9² · 10.037429 = 271.01
Finally, the volume of the composite solid:
V = V 1 + V 2 = 405 + 271.01 = 676.01
Answer: C. 676.01 in³