Answer:9
Step-by-step explanation: First you add the 3x to both sides(the -4x and the -3x) and then you get 15-1x=6. Next you subtract 15 from 15 and 6, so you get -1x=-9. So then you divide both sides by -1 (do -1x over -1 equals -9 over -1). Last you do the dividing and you get x=9.
Answer:
The production would be 25 wheels,
Lowest average cost is $ 123.75
Step-by-step explanation:
Given cost function,

Where,
x = number of wheel,
So, the average cost per wheel,

Differentiating with respect to x,

Again differentiating with respect to x,

For maxima or minima,




For x = 25, A''(x) = positive,
i.e. A(x) is maximum at x = 25.
Hence, the production would be 25 wheels for the lowest average cost per wheel.
And, lowest average cost,
A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75
Answer:
x = 18
mZT = 71º
Step-by-step explanation:
Complementary angles total 90º
(3x + 17) + 19 = 90
Subtract 19 from both sides
3x + 17 = 71
mZT = 71º
Subtract 17 from both sides
3x = 54
Divide both sides by 3
x = 18
Answer:
B) 
Step-by-step explanation:
Given:
Height of cylinder (h) = 10 yd
Diameter of cylinder (d) = 14 yd
We need to find the surface area of the cylinder.
Solution:
First we will find the radius of the cylinder.
Radius is half of the diameter.
radius (r) = 
Now we know that;
Surface area of cylinder is equal to 2 times π times radius(r) times sum of radius (r) and height (h).
Framing in equation form we get;
Surface area of cylinder = 
Substituting the given values we get;
Surface area of cylinder = 
Rounding to nearest tenth we get;
Surface area of cylinder = 
Hence the surface Area of cylinder is
.
Answer:
m∠A ≈ 103°
Step-by-step explanation:
Enough information is shown for us to be able to use the Law of Sines to find the angle. That tells us ...
sin(A)/a = sin(C)/c
A = arcsin(a/c·sin(C)) = arcsin(26/6·sin(13°)) = arcsin(0.974788)
A = 77.1° or 102.9°
The claim is that the figure is drawn to scale, so we can assume that A is an obtuse angle:
m∠A ≈ 103°
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<em>Additional comment</em>
The sum of angles A and B must be 180° -13° = 167°. Since angle A is the largest, it must be more than half this value, or more than 83.5°. That means, we must choose the obtuse angle for A, rather than the acute angle.