Answer:
Step-by-step explanation:
3in/4 = 0.75in(Diameter) for each circle
r = 0.375
A = πr^2
A(for 1 circle) = 0.141π
A(for 1/4 circle) = 0.035π
A x 4 because we have 4 circles =
0.141π
0.141π(area of middle) + 0.141π(area of circle) =
0.282π or 0.886in^2
Answer: 74
Step-by-step explanation:
Substitute x=6 into the expression
(x+4) . 2^3 -6
Add the numbers
(6+4) . 2^3- 6
10 x 2^3 -6
Evaluate the power
10 x 2^3 -6
10 x 8-6
Multiply the numbers
10 x 8-6
80-6
Subtract the numbers
80-6
74
Answer:
tan theta = 8/15
Step-by-step explanation:
Sin is equal to opposite over hypotenuse. So it means that the side opposite from theta is 8, and the hypotenuse is 17.
To find the value of the adjacent side from theta, use the Pythagorean Theorem.
a^2 + b^2 = c^2
8^2 + b^2 = 17^2
64 + b^2 = 289
Subtract 64.
b^2 = 225
Take the square root.
b = 15.
So that means:
the side opposite from theta is 8,
the side adjacent from theta is 15,
the hypotenuse is 17.
Now we take tan, opposite over adjacent, and use the values from the triangle.
tan = opposite / adjacent
tan = 8/15.
Answer:
(2p-1)(p-1)
Step-by-step explanation:
=> 2p(p-1)-p+1
Opening brackets
=> 2p²-2p-p+1
=> 2p²-3p+1
Using mid-term break formula
=> 2p²-2p-p+1
=> 2p(p-1)-1(p-1)
=> (2p-1)(p-1)
