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4 years ago

In the straightedge and compass construction of the equilateral triangle below, how do you know that AB ≈ AC?

Mathematics

2 answers:

zavuch27 [327]4 years ago

6 0

Answer:

C. line segment AB is the radius of both circles.

Step-by-step explanation:

If point A is the center of the first circle and point B is the center of the second circle (in the figure), therefore Line segment AB is the radius of both circles and we write.

Line segment AB = line segment AC (radius of first circle ) and

line segment AB = line segment BC (radius of second circle).

Hence line segment AB is the radius of both circle is the correct option for AB =AC.

Ostrovityanka [42]4 years ago

5 0

Answer:

Step-by-step explanation:

C: AB is the radius of both circles.

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Estimate the quotient 61 ÷ 8 plz help me someone

Crank

Answer:

7.625

Step-by-step explanation:

4 0

3 years ago

Let f(x) = 3x^2 – 8x + 5 and let g(x) = 2x – 8. Find

fenix001 [56]

Answer:

B. 3x² – 10x + 13

Step-by-step explanation:

given:

f(x) = 3x² – 8x + 5

g(x) = 2x – 8

f(x) - g(x)

= (3x² – 8x + 5) - (2x – 8)

= 3x² – 8x + 5 - 2x + 8

= 3x² – 10x + 13

3 0

3 years ago

a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.

Radda [10]

Answer:

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x= \frac{-b-\sqrt{b^{2}-4ac } }{2a}$

$x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}$

$x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}$

$x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};$

$x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005$

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

$(-714.005)^2+700(-714.005)-10000=-0.360$

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

$(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725$

3 0

2 years ago

Huixian mother buys some shares of company A on day 0. on day 7, the share price of company a is $4.60. if she sells all her sha

Wewaii [24]

I think that u might want to do the share the company money i could be wrong but if i sm sorry

4 0

3 years ago

For each sequence, find the first 4 terms and the 10th term<br> 1) 2n-1

Katena32 [7]

Answer:

1st term: 1, 2nd term: 3, 3rd term: 5, 4th term: 7 & 10th term: 19

Step-by-step explanation:

1st term: 2(1) - 1

2 - 1 = 1

2nd term: 2(2) - 1

4 - 1 = 3

3rd term: 2(3) - 1

6 - 1 = 5

4th term: 2(4) - 1

8 - 1 = 7

10th term: 2(10) -1

20 - 1 = 19

6 0

3 years ago