We have that
if cos(∅)=x----------------> arccos (x)=∅
then
cos(∅)=0.63
∅=arccos(0.63)-------------> ∅=50.95°
<span>
The question does not specify in which quadrant the angle is, </span>since the cosine function is positive, the angle must be in the first quadrant or in the fourth quadrant
<span>if it is in the first quadrant the angle is </span>50.95°
and
if it is in the fourth quadrant the angle is (360°-50.95°)=309.05°
The value of the "6" in 49.62 is in the<u> tenth</u> place
Answer:
x = -4/5 or x = 71/8
Step-by-step explanation:
Solve for x:
(5 x + 4) (8 x - 71) = 0
Split into two equations:
5 x + 4 = 0 or 8 x - 71 = 0
Subtract 4 from both sides:
5 x = -4 or 8 x - 71 = 0
Divide both sides by 5:
x = -4/5 or 8 x - 71 = 0
Add 71 to both sides:
x = -4/5 or 8 x = 71
Divide both sides by 8:
Answer: x = -4/5 or x = 71/8
Answer:
• V = x(11 -2x)(16 -2x)
• x ≈ 2.1 in
Step-by-step explanation:
a) The volume of the box is the product of its depth (x), width (11 -2x) and length (16 -2x). The equation can be simply ...
v(x) = x(11 -2x)(16 -2x)
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b) A graphing calculator can plot this equation directly. All that is needed is to enter it into the appropriate space provided by the calculator. The value of x that gives the greatest volume is the value that makes the function have a local maximum between x=0 and x=5.5 (where the volume is again zero).
That value of x is about 2.1 inches.
$26.79
If you took 30% of 26.79 you get 8.037
Subtract: 26.79-8.037 = 18.753