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Dmitry [639]
3 years ago
5

50 points! I will mark brainliest! Random answers will be reported :)

Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

x=10

Step-by-step explanation:

Notice that all three sides of the given triangle has one tick mark.

This means that all three sides are congruent, meaning that we have an equilateral triangle.

And for equilateral triangles, all three angles are also congruent.

So:

\angle CBA=\angle BAC=\angle ACB

Also, recall that the interior angles of a triangle is always 180. Thus:

\angle CBA+\angle BAC+\angle ACB=180

Substitute:

\angle CBA+\angle CBA+\angle CBA=180

Combine like terms:

3\angle CBA=180

Substitute:

3(6x)=180

Multiply:

18x=180

Thus:

x=10

And we are done!

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The equation for the cost in dollars of producing computer chips is y =.000015x^2-.03x+35. Where x is the number of chips produc
Anna35 [415]
In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero. 

Taking the derivative of the given equation and equating it to zero, we have:

y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03

Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,

y = (0.000015)(1000)² - (0.03)(1000) + 35

The minimized cost, y, to produce 1000 chips is then calculated to be $20. 
6 0
3 years ago
Prove that the product of any two consecutive natural numbers is even.
Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

Product=n(n+1)\\\\

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S_n=\frac{n(n+1)}{2}\\\\\therefore n(n+1)=2\times S_n............(i)

Thus from equation 'i' we can write

Product=2\times S_n

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6 0
3 years ago
Graph the solution of y - 4 < 2 on a number line.
Luda [366]

Answer:

y<6

Step-by-step explanation:

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3 0
3 years ago
Hi please can you help me this is a new topic and I’m very confused
olchik [2.2K]

Answer: the large jar is cheaper

Step-by-step explanation:

If you divide the £1.54 by 440g and £1.26 by 340g, you'll find which one is cheaper per gram :

1.54/440 = 0.0035

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So, by comparing both prices/gram, you've found that the large jar is cheaper.

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3 years ago
Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information​
MatroZZZ [7]

9514 1404 393

Answer:

  B.  Figure B

Step-by-step explanation:

The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.

The pyramid volume is ...

  V = 1/3Bh

  V = 1/3(4²)(9) = 48 . . . cubic units

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The cylinder volume is ...

  V = πr²h

  V = π(1²)(48) = 48π . . . cubic units

The cylinder has π times as much volume as the pyramid. Figure B is larger.

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<em>Additional comment</em>

If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.

7 0
3 years ago
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