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andreev551 [17]
3 years ago
5

​ Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Answer:

107

Step-by-step explanation:

First note that this quadrilateral is cyclic.

One property of cyclic quadrilaterals is that opposite angles add up to 180.

since B and D are opposite angles, we can add them and set that to 180. we get that 5x+5=180, so x=35. Now, substituting 37 for x for all the angles, we get

A=73

B=66

D=114

To find C, notice that A and C are opposite angles. This means they add up to 180

73+C=180, C=107

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For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in
baherus [9]

Answer:

The marginal cost at the given production level is $49.9.

Step-by-step explanation:

The marginal cost function is expressed as the first derivative of the total cost function with respect to quantity (x).

We have that the cost function is given by

C(x) = 15000 + 50x + \frac{1000}{x}

So, we need the derivative and then we’ll need to compute the value x = 100 of the derivative.

C'(x)=\frac{d}{dx}\left(15000+50x+\frac{1000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\C'(x)=\frac{d}{dx}\left(15000\right)+\frac{d}{dx}\left(50x\right)+\frac{d}{dx}\left(\frac{1000}{x}\right)\\\\C'(x)=0+50-\frac{1000}{x^2}\\\\C'(x)=50-\frac{1000}{x^2}

When x = 100, the marginal cost is

C'(100)=-\frac{1000}{100^2}+50\\\\C'(100)=\frac{499}{10}=49.9

6 0
3 years ago
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
BaLLatris [955]

Answer:

To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Step-by-step explanation:

hope its right

3 0
3 years ago
Calculate the area of each circle and show work
Shtirlitz [24]

Answer:

area = 2.54 {ft}^{2}

Step-by-step explanation:

The formula to find the area of a circle is

area \: of \: circle \:  = \pi {r}^{2}

Let pi be (3.14), the radios as given in the question is (0.9). Therefore;

\pi {r}^{2}  =  \\ (3.14) \: {(0.9)}^{2}  \\ 3.14 \times 0.81 =  \\ 2.5434 \: or \: 2.54 {ft}^{2}

7 0
2 years ago
Read 2 more answers
In this arithmetic sequence 3, 8, 13, 18, ... which term has the the value 123?
NikAS [45]

Answer:

term 25

Step-by-step explanation:

a is the number added from 3 to 8 is 5(must be constant like 8 to 13 is also 5

b is the zero term so 3-a which is 3-5=-2

7 0
3 years ago
In a triangle angle a=40 angle b= 45 angle c= 90 find <br> angle of x
cluponka [151]

Answer:angle x=5

Step-by-step explanation:

Sum of triangles =180 ,x+90+45+40=180, x+175=180 ,x =5

6 0
3 years ago
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