I think it's 74 because 3 has the factor :1,3
53 has the factor: 53,1
73 has the factor:1 ,73
74 has the factor:1,74,2,37
<h3>
Answer: Yes we have a direct proportional relationship</h3><h3>constant of proportionality = 8</h3>
equation is y = 8x
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Explanation:
Divide each x and y pair like so: y/x
If we get the same result each time, then we have a direct proportion.
y/x = 32/4 = 8
y/x = 56/7 = 8
y/x = 96/12 = 8
Each time we get the same result 8, which is the constant of proportionality. The table does show a direct proportional relationship. The equation is y = 8x which is in the form y = kx. The k value is the constant of proportionality. So k = y/x.
Answer:
The correct answer is,
| -8|
| 4 |
Step-by-step explanation:
It is given two matrices,
1)Let Matrix A = 5 -2
-6 2
2) Matrix B = -1
-1
Matrix A is 2 x 2 matrix and matrix B is 2 x 1 matrix
<u>To find the product of two matrices</u>
A x B = 5 -2 x -1 = -10+2 = -8
-6 2 -1 6 -2 4
Therefore the correct answer is
| -8|
| 4 |
4=1 1 1 1
5= 1 1 1 1 1
So this means 5 and 4 are not equal
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
