Answer:
m<ACD = 
Step-by-step explanation:
From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.
In the triangle ACD:
<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)
<ACD + 40 + 90 = 180
<ACD + 130 = 180
<ACD = 180 - 130
<ACD = 
With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is
.
Answer:
identity property
Step-by-step explanation:
the identity proper is where any number times 1 is equal to itself
You can find the critical numbers by finding the derivative of the function and solving for 0.
F(x) = x(4/5)(x-6)(2) = x(8/5)(x-6) = (8/5)(x^2 - 6x)
Taking the derivative:
F'(x) = (8/5)(2x - 6)
F'(x) = 0 at x = 3,
critical number = 3
This is a terrible question. Send the publisher a nasty note.
First let's answer the question.
Cosine is adjacent over hypotenuse, so the cosine of the angle labeled 16 degrees is 24 (the adjacent side to 16 degrees) divided by 25 (the hypotenuse).
Answer: 24/25
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Now I'm going to complain about the question. 24/25 is of course 0.96 exactly, while
cos 16° ≈ 0.96126169593831886191649704855706487352569
They're not the same, and never think 24/25 is the cosine of 16 degrees. It's approximately the cosine of 16 degrees; there's a big difference.
The cosine of 16 degrees is some awfully complicated algebraic number, a zero of some high degree polynomial with integer coefficients. Worse yet, the angle whose cosine is 24/25 is almost certainly a transcendental number, not the zero of any such polynomial.
Trigonometry as practiced forces approximations to be employed. Let's not sweep that under the rug in the questions, please.