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Mathematics

1 answer:

Ket [755]2 years ago

8 0

Answer:

Step-by-step explanation:

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In the diagram of circle A, what is the measure of ∠XYZ? 35° 70° 75° 140°

Mademuasel [1]

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Measure of arc WZ = 175°

Measure of ∠XAZ = 105°

We need to find the measure of ∠XYZ.

As we know the angle subtended at the center is the average of the measure of arc intercepted by it angle and its vertical angles.

$\frac{175^\circ+\angle XYZ}{2}=105^\circ\\\\175^\circ+\angle XYZ=210^\circ\\\\\angle XYZ=210^\circ-175^\circ\\\\\angle XYZ=35^\circ$

Hence, the value of ∠XYZ is 35°.

Hence, First Option is correct.

3 0

3 years ago

Read 2 more answers

You buy a watch for 60$. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sal

OleMash [197]

Answer:

just subtrace 15

Step-by-step explanation:

3 0

2 years ago

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.

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