Answer:
9, 40 and 41
Step-by-step explanation:
All right triangle have lengths that follow the Pythagorean Theorem (a²+b² = c²). Right triangles have one angle equal to 90°. The two shorter sides form the right angle and the side opposite the right angle is called the hypotenuse.
Using the lengths given, we can use guess and check to see what sum of two sides squared would equal a third side, or just plug them into the equation: a²+b² = c² and see what lengths fit this equation.
I recommend starting with squares you are familiar with:
9² + 40²= 81 + 1600 = 1681
Now, take the √1681 to find the length of 'c', or the hypotenuse:
√1681 = 41
Since these three lengths fit the Pythagorean Theoreom, the would form a right triangle.
(x-1)^2 is the factored version, so vertex is at 0, which is 1, so, A
589, 310
The 8 value is in the 10,000s place.
598, 301
The 8 is in the 1000s place.
So the difference of 10,000 over 1000 is 10
So your answer is B
With some simplification,
cos⁻¹(x) - 5 cos⁻¹(x) - π/3 = 2π/3
becomes
-4 cos⁻¹(x) = π
or
cos⁻¹(x) = -π/4
However, the inverse cosine function has a range of 0 ≤ cos⁻¹(x) ≤ π, so there are no solutions to this equation.
Answer:
(3X8) - 4 + 2 - 12
Step-by-step explanation:
Following the order of operations solve:
(24) - 4 + 2 - 12
20 + 2 - 12
22 - 12
10
Don't feel bad, this is an odd question and the parenthesis do not seem to be required. Following the order of operations would result in the same answer anyway...
Odd.