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deff fn [24]
1 year ago
11

5. Find the circumcenter of the triangle. XXX CU 3 (4,2) KNNYA XHENNARO 3 ****************++++++ 5 NET Virtual cla 44,-3) WHEREw

hat is answer

Mathematics
1 answer:
Elan Coil [88]1 year ago
8 0

The circumcenter of a right angled triangle is midpoint of the hypotenuse side.

Determine the midpoint of the hypotenuse.

\begin{gathered} x=\frac{-4+0}{2} \\ =\frac{-4}{2} \\ =-2 \end{gathered}

For y coordinate,

\begin{gathered} y=\frac{2-3}{2} \\ =\frac{-1}{2} \end{gathered}

So, circumcenter of triangle is,

(-2,\frac{-1}{2})

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Sophia owns a clothing store that sells graphic T-shirts. n is the number of
goldenfox [79]

Answer:

n = 150

Step-by-step explanation:

If n is the number of T-shirt sell each month, then the revenue function of Sophia's store is r = 21n .......... (1)

and the cost function of her store is C = 16n + 750 ........ (2)

Now, at break-even point, the revenue of a business is equal to its cost.

Therefore, r = C {From equations (1) and (2)}

⇒ 21n = 16n + 750

⇒ 5n = 750

⇒ n = 150

So, the break-even point of the store will occur when the number of T-shirt production is 150. (Answer)

8 0
3 years ago
Inventor A had 630 inventions, 600% more than the number of inventions inventor B had. How many inventions did B have?
skelet666 [1.2K]

Answer:

105 inventions

Step-by-step explanation:

Find how many inventions Inventor B had by dividing 630 by 6:

630/6

= 105

So, Inventor B had 105 inventions

6 0
3 years ago
Find the slope and the y-intercept of the line<br> slope intercept is:<br> y=-5/2x+5
PtichkaEL [24]

Answer:

the slope is : -5/2

y-intercept is: 5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Estimate the difference by rounding to the nearest hundred 3860-2757
makkiz [27]

Answer:

1,100 is the answer.

Step-by-step explanation:

Since the difference of the subtraction problem is 1,103, when it is rounded, it becomes 1,100.

8 0
3 years ago
Yahoo creates a test to classify emails as spam or not spam based on the contained words. This test accurately identifies spam (
Amiraneli [1.4K]

Answer and Step-by-step explanation:

The computation is shown below:

Let us assume that

Spam Email be S

And, test spam positive be T

Given that

P(S) = 0.3

P(\frac{T}{S}) = 0.95

P(\frac{T}{S^c}) = 0.05

Now based on the above information, the probabilities are as follows

i. P(Spam Email) is

= P(S)

= 0.3

P(S^c) =  1 - P(S)

= 1 - 0.3

= 0.7

ii. P(\frac{S}{T}) = \frac{P(S\cap\ T}{P(T)}

= \frac{P(\frac{T}{S}) . P(S) }{P(\frac{T}{S}) . P(S) + P(\frac{T}{S^c}) . P(S^c) }

= \frac{0.95 \times 0.3}{0.95 \times 0.3 + 0.05 \times 0.7}

= 0.8906

iii. P(\frac{S}{T^c}) = \frac{P(S\cap\ T^c}{P(T^c)}

= \frac{P(\frac{T^c}{S}) . P(S) }{P(\frac{T^c}{S}) . P(S) + P(\frac{T^c}{S^c}) . P(S^c) }

= \frac{(1 - 0.95)\times 0.3}{ (1 -0.95)0.95 \times 0.3 + (1 - 0.05) \times 0.7}

= 0.0221

We simply applied the above formulas so that the each part could come

8 0
3 years ago
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