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AURORKA [14]
4 years ago
7

Find the distance between the points (–6, 7) and (0, 8).

Mathematics
1 answer:
Vladimir [108]4 years ago
4 0

Answer:

\sqrt{37}

or 6.08276253

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(a) Draw in radii OA, OB, OC and OD. Then, explain why OAB must
lions [1.4K]

Answer:

In the given circle, segments OA, OB, OC and OD are radius of the circle.

In other words, all those segments are congruent.

From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.

From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.

Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.

7 0
3 years ago
Mr. Gardner is making 6 treat bags.He has 185 chocolate covered raisins to share evenly among the treat bags.
erica [24]

Answer:

30 will be in each bag

5 chocolate covered raisins will be left

Step-by-step explanation:

185 divided by 6=30

30*6=180

185-180=5

7 0
3 years ago
There are a total of 63 bikes if the ratio of blue bikes and black bikes is 45 how many are blue?
maw [93]
18 blue bikes. 63 - 45 = 18
3 0
3 years ago
Lucy offers to play the following game with Charlie: "Let us show dimes to each other, each choosing either heads or tails. If w
Darya [45]

Answer:

(a)Charlie is right

(b)$0

Step-by-step explanation:

(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.

In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

  • P(Charlie Wins)=2/4
  • P(Charlie Losses)=2/4

Lucy wins when the outcome is HT or TH

  • P(Lucy Wins)=2/4
  • P(Lucy Losses)=2/4

Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

If the outcome is HT or TH, Lucy gets $2.

If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

\left|\begin{array}{c|c|c|c}$Profit(x)&-\$3&-\$1&\$2\\P(x)&1/4&1/4&2/4\end{array}\right|

Expected Profit

=(-3 \times \frac14)+(-1\times \frac14)+(2 \times \frac24)\\=$0

Lucy's expected profit from the game is $0.

7 0
3 years ago
GS
mina [271]
Add me on Insta Chief
4 0
3 years ago
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