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expeople1 [14]
3 years ago
8

What are the coordinates of the circumcenter of a triangle with vertices A(−1, 1) , B(5, 1) , and C(−1, −1) ?

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0
Triangle ABC is a right triangle with vertex A containing the right angle.

You can tell because AB is a horizontal line since A and B have the same y-coordinate, and AC is a vertical line since A and C have the same x-coordinate.

A right triangle in a circumcircle is always in the semicircle, with the centre of the circle lying in the middle of the side opposite the right angle.

So, the circumcenter is the midpoint of BC.

The midpoint of BC is ((5-1)/2, (1-1)/2) = (2, 0)
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If there are 680 calories in 8 oz of ground beef, how many
irina [24]

Answer:

3/8ths of 680 kcal or 3 x 85 = 255 kcal.

Step-by-step explanation:

3/8ths of 680 kcal or 3 x 85 = 255 kcal.

6 0
2 years ago
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PLS HELP QUICK<br> Write an<br> equivalent expression (simplify): 14h + 12 - 8h - 3
aivan3 [116]

Answer:

22h - 9

Step-by-step explanation:

14h + 12 - 8h - 3

14h + 8h + 12 - 3

22h + 12 - 3

22h + 9

7 0
2 years ago
Write as a decimal fraction of a cm (a) 5 mm (b) 8mm
lys-0071 [83]
1 mm = 0.1 cm

(a) 5 mm

5 × 0.1 = 0.5 

Fraction :- 5/0.5
5 ÷ 0.5 =10
Decimal:- 10

(b) 8 mm

8 × 0.1 = 0.8

Fraction:- 8/0.8
8 ÷ 0.8 = 10
Decimal:- 10
8 0
3 years ago
Read 2 more answers
Hono Golf is a manufacturer of golf products in Taiwan and China. One of the golf accessories it produces at its plant in Tainan
Elodia [21]

Answer:

Type I error.

Step-by-step explanation:

The decision to shut the process is triggered by the conclusion that the average height is significantly different from 66 mm.

This means that the null hypothesis, that states that the average height is not significantly different from 66 mm (μ=66), has been rejected.

If the null hypothesis is rejected, the error that can have been made is to reject a true null hypothesis, when the process is functioning to specification and the average length is not significantly different from 66.

This is a Type I error, that happens when a true null hypothesis is rejected.

4 0
3 years ago
Find the exact value
Mnenie [13.5K]

By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

<h3>How to find the exact value of a trigonometric expression</h3>

<em>Trigonometric</em> functions are <em>trascendent</em> functions, these are, that cannot be described algebraically. Herein we must utilize <em>trigonometric</em> formulae to calculate the <em>exact</em> value of a <em>trigonometric</em> function:

\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }

\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }

\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }

\sin \frac{5\pi}{12} =  \sqrt{\frac{2+\sqrt{3}}{4} }

\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}

By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is \frac{\sqrt{2+\sqrt{3}}}{2}.

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

7 0
1 year ago
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