Answer:
87.92 in²
Step-by-step explanation:
pi × (R² - r²) = area
Where R is the radius of the outer circle and r of the inner circle.
Since C = 2pi×r
37.68 = 2×3.14×r
r = 6 in
R = 6 + 2 = 8 in
Therefore,
pi × (R² - r²) = area
Area = 3.14 (8² - 6²)
= 87.92 in²
Answer:
f = 48/5
Step-by-step explanation:
5f = 12 * 4
5f = 48
f = 48/5
Answer:
Step-by-step explanation:
We have to diagonalize the matrix
![\left[\begin{array}{ccc}1&-1&0\\5&1&4\\0&1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-1%260%5C%5C5%261%264%5C%5C0%261%261%5Cend%7Barray%7D%5Cright%5D)
we have to solve the expression

Thus, by applying the determinant we obtain the polynomial



and the eigenvector will be

HOPE THIS HELPS!!
The doorstop is a triangular prism. volume of the triangular prism is the area of the base times the height
area of the base: 1/2 * 10*6=30cm²
height: 2.5cm
Volume: 30cm²*2.5cm=75cm³
weight: 75cm³*8.6g/cm³=645 grams
37 students get at most 67 scores.
The numbers 60-67 represent the lower quartile (lowest 25%). 25% of 60 is 15 not 30. Therefore it is incorrect.