2 angles whose non shared sides are opposite rays are defined as

1 answer:

4 0

Two adjacent angles whose non-shared sides are opposite rays ( 2 words ) vertical angles. the non-adjacent angle pairs formed by two intersecting lines( 2 words ) perpendicular.

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Peter rolls a fair dice 114 times. How many times would Peter expect to roll a number greater than 1?

Natalka [10]

Answer:

A dice of six faces has 5 numbers bigger than 1 (from 2 to 6).

Then, the number Peter is expecting is : 114 x (5/6) = 95 (times)

Hope this helps!

6 0

3 years ago

Which equation represents the circle described?

faust18 [17]

ANSWER

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

EXPLANATION

The equation of the circle with radius r and centre (a,b) is given by

$(x - a)^{2} + {(x - b)}^{2} = {r}^{2}$

The radius is

$r = 2$

We need to determine the center of the circle from the given equation of another circle, which is,

${x}^{2} + {y}^{2} - 8x - 6y + 24 = 0$

We complete the square to obtain,

${x}^{2} - 8x+ {y}^{2} - 6y + 24 = 0$

${x}^{2} - 8x+ {y}^{2} - 6y = - 24$
${x}^{2} - 8x+ {( - 4)}^{2} + {y}^{2} - 6y + {( - 3)}^{2} = - 24 + {( - 3)}^{2} + {( - 4)}^{2}$

${(x - 4)}^{2} + {(y - 3)}^{2} = - 24 + 9+ 16$

${(x - 4)}^{2} + {(y - 3)}^{2} = 1$

The centre of this circle is (4,3)

Hence the center of the circle whose equation we want to find is also (4,3).

With this center and radius 2, the required equation is,

${(x - 4)}^{2} + {(y - 3)}^{2} = {2}^{2}$

Therefore the correct answer is C.

3 0

3 years ago

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If you flip three fair coins, what is the probability that you'll get two tailed and one head in any order

Scrat [10]

Sample space = HHH, HHT, HTH, THH, TTT, TTH, THT, HTT (8 possibilities)

Desirable outcomes = TTH, THT, TTH (3 possibilities)

Required probability = 3/8

6 0

3 years ago

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Nady [450]

Answer:

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2 years ago

A number has more tens than ones. the value of the ones digit is 8. what are the possible numbers?

natulia [17]

-----98 with any quantity of any digits before the 9 .