Answer:
We will be using the Pythagorean theorem for the first 2 and SOH CAH TOA for the other 3.
a^2 + b^2 = c^2
sin(t) = b/c; cos(t) = a/c; tan(t) = b/a
#4) a^2 + 9^2 = (3sqrt(10))^2 #5 9^2 + 27^2 = c^2
a^2 + 81 = 90 81 + 729 = c^2
a^2 = 9 810 = c^2
a = 3 9sqrt(10) = c
#6 27 + 3 = 30 #9 cos(90) = 8/c
8/-0.45 = c
| 17 | = c [not the exact value]
#7 8^2 + b^2 = 17^2 #8 2^2 + 15^2 = c^2
64 + b^2 = 289 4 + 225 = c^2
b^2 = 225 229 = c^2
b = 15 [not the exact value] 15.3 = c [not the exact value]
Sorry if something doesn't make sense and felt kind of rushed. Feel free to comment down below my answer if you have any questions and I'll try to clarify it the best I can.
28 teachers prefer mint.
Step-by-step explanation:
Given,
Total number of teachers = 98
Ratio of teacher that prefer rocky road to mint = 5:2
Let,
x be the original number.
Teachers who like rocky road = 5x
Teachers who like mint = 2x
Dividing both sides by 7
Teachers who prefer mint = 2x = 2(14) = 28
28 teachers prefer mint.
Keywords: ratio, division
Learn more about division at:
#LearnwithBrainly
For 4 you just need to multiply the 7 and 33 together and add 32. Then put your awnser over 33. (if it is asking for the fraction)
Answer: 
inches
Step-by-step explanation:
The formula for finding the volume of a cylinder is given as :
substituting the given values , we have
Therefore:
take the square root of both sides
Therefore :
inches
