B + g = 16.....b = 16 - g
45b + 55g = 830
45(16 - g) + 55g = 830
720 - 45g + 55g = 830
-45g + 55g = 830 - 720
10g = 110
g = 110/10
g = 11 <=== there are 11 green cassettes
b + g = 16
b + 11 = 16
b = 16 - 11
b = 5 <=== there are 5 blue cassettes
Answer:
H. 4c <60
Step-by-step explanation:
Answer:
90.84
Step-by-step explanation:
49.7+41.14= 90.84
Answer:
She needs 301.8 in² of tissue paper.
Step-by-step explanation:
In order to calculate the amount of tissue paper she needs to make 21 hats, we need to find the area of each hat and multiply it by the total number of hats she wants to make.
Since the Vietnamese conical hats are hollow and don't have a base, we need to find the area of the it's lateral walls, this is given by the following expression:
lateral area = pi*r*l
r = d/2 = 16/2 = 8 in
We were given the height, but we need the slant height, therefore:
l = sqrt(r² + h²) = sqrt(8² + 9²) = sqrt(64 + 81) = sqrt(145) = 12.041 in
Then the lateral area is:
lateral area = pi*8*12.0141 = 301.8 in²
She needs 301.8 in² of tissue paper.
Volume =
150 = x 3.14 x 10 x 10 x h
150 x 3 = 314 x h
h = 450/314
h = 1.43 inches