Answer: See below
Step-by-step explanation:
number of yellow pieces/number of blue pieces
= 14/24
= 7/12 --> 7 to 12 --> 7:12
The ratio that represents the number of yellow pieces to the total number of pieces is part-to-whole
number of yellow pieces/total number of pieces
= 14/100
= 7/50 --> 7 to 50 --> 7:50
The ratio that represents the number of blue pieces to the total number of pieces is part-to-whole
= 24/100
= 6/25 --> 6 to 25 --> 6:25
9. f(x)= 1/3x-2
f(3)= 1/3(3)-2
f(3)= 1-2
f(3)= -1
The value of f(1) = 81
Step-by-step explanation:
For the recursive function, f(n+1) = one-half(n)
Thus, when n = 2,
f(3) = 9
If n = 1,
f(2) = 9×3
f(2) = 27
If n = 0,
f(1) = 27 ×3
f(1) = 81
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Answer:
A) 5.12mm³
Step-by-step explanation:
Step 1
Find the volume of the bigger pyramid
This is a triangular based pyramid.
The formula to use is given as Volume of Pyramid =
1/3 × Area of the triangle × Height
Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²
Volume of the large pyramid = 1/3 × 6mm² × 5mm
= 10mm³
We are given the length of the small pyramid as 4mm
We would be using was is known as scale factor to find the volume of the small pyramid
The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³
k = 4³/5³
k = Volume of small pyramid/ Volume of large pyramid
Volume of small pyramid = X
Volume of large pyramid = 10mm³
Hence,
4³/5³ = X/10
Cross Multiply
= 4³ × 10 = 5³ × X
X = (4³ × 10)/ 5³
X = 5.12mm³
Answer:
102.4
Step-by-step explanation:
Open the bracket
19-6.2=12.8
8(12.8)
8*12.8=102.4
