Answer:
100 or 150 units of the product.
Step-by-step explanation:
R = x(1000-4x)
What is the value of x if R = 60,000?
x(1000-4x) = 60000
-4x^2 + 1000x = 60000
x^2 - 250x = -15000
x^2 - 250x + 15000 = 0
Factorize:
(x-100)(x-150) = 0
x-100 = 0 V x-150 = 0
x = 100 V x = 150
The inscribed angle is half the measure of the intercepted arc:
142°/2 = 71°
Step-by-step explanation:
The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.
Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180
90 + 2x + 3x = 180
90 + 5x = 180
subtract 90 from both sides to separate the x and its coefficient
5x = 90
divide both sides by 5 to separate the x
x = 18
(a) ∠CAB = 2x = 18(2) = 36
(b) ∠ABC = 3x = 18(3) = 54
(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.
Answer:
1/12
Step-by-step explanation:
3/(4x)=9
3/9 = 4x
1/3 = 4x
1/12 = x
