Y = 0.5x + 5......x (miles) = 30
y = 0.5(30) + 5
y = 15 + 5
y = 20 (the total cost)
These angles are called vertical angles, and they are congruent. Therefore, the expression and the 55 degree angle are equal to each other.
5x + 15 = 55
5x = 40
x = 8
Correct Answer: B, 40
Hope this helps!
You need to calculate the height of the cone which would be OV, not VB
Using Pythagorean theorem:
OV = sqrt(37^2-12^2)
OV = 35
Now you have the height to solve everything.
This is a semi circle so volume and surface area would be 1/2 of a full cone.
A) v = 1/2 x pi x r^2 x h/3
V = 1/2 x pi x 12^2 x 35/3
V = 1/2 x pi x 144 x 35/3
V = 840pi
B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))
Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))
Sa= 923.63 round as needed.
C) volume of hemisphere with 4cm diameter:
2/3 x pi x 2^3 = 5.33pi
Divide volume of semi cone by volume of hemisphere:
840pi/5.33pi = 157.5
There is a method of doing this called unit analysis. It automatically sets up the question in such away that you multiply all the numerators together and divide by all the denominators multiplied together. It is very handy to know.
Notice how the cancellation takes place as you progress from left to right. You are given seconds to start with and that cancels at the end, so that you are only left with meters.
The distance traveled in 10 seconds = 1080000 / 3600 = 300 meters.
Answer: 300 meters
You could also do this question by proportions, which you will no doubt get as your second answer.
Answer:
Mateo's data shows a negative association
Step-by-step explanation:
Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.
We can clearly see the typos found number increasing through the number of pages. Which is bad :/
Hope this helps :)