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iragen [17]
3 years ago
10

If one angle of a set of supplementary angles measures 77°, then the other angle measures _____.

Mathematics
1 answer:
juin [17]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Supplementary angles sum to 180°

If one angle is 77°, then the other angle is

180° - 77° = 103° → B

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500 tickets were sold for a game for a total of $862.50. If adult tickets sold for $2.00 and children's tickets sold for $1.50,
Alexxandr [17]
You can work these in your head if you consider the revenue generated by the least contributor (children's tickets) and the difference in revenue between that and the larger contributor ($2.00 -1.50 = 0.50).

If all were children's tickets, the revenue would be 500*$1.50 = $750.00. The actual revenue exceeded that amount by $862.50 -750.00 = 112.50. This difference in revenue is made up by the sale of $112.50/$0.50 = 225 adult tickets. Then the number of children's tickets is 500 -225 = 275.

225 adult tickets were sold
275 children's tickets were sold.

_____
If you need an equation, you can write an equation using a variable for the number of adult tickets sold (the largest contributor).
.. (500 -a)*1.50 +a*2.00 = 862.50
.. 0.50a = (862.50 -750.00) . . . . . does this look familiar, yet?
.. a = 112.50/0.50 = 225
6 0
3 years ago
Suppose three players go on multiple rounds of kart race. In each round, every player has a winning probability of 1/3, independ
zepelin [54]

Answer:

a) 0.3246

b) 0.0043

Step-by-step explanation:

  • For player 1 ; Probability of winning = P(W) = 1/3
  • Probability of loosing; P(winning) + P( Loosing) = 1
  • P(L) = 1 - 1/3 = 2/3

a) To find Find P(N <= 10) = P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)+P(10)

= (1/3)^2 + (1/3)^2 x 2/3 + (1/3)^2 x (2/3)^2 + (1/3)^2x (2/3)^3 + (1/3)^2 x (2/3)^4

X (1/3)^2 x (2/3)^5 + (1/3)^2 x (2/3)^6 + (1/3)^2 x (2/3)^7 + (1/3)^2 x (2/3)^8

= 0.3246

b) Find P(N = 10) = (1/3)^2 x (2/3)^8 = 0.0043

7 0
3 years ago
angelo rode his bike around a bike trail that was 1/4 of a mile long.he rode his bike around thetrail 8 times.Angelo says he rod
forsale [732]
Hi there!

From this problem we can pull out some key information and remove any excess.

- The trail is 1/4 of a mile long.
- Angelo rode around the trail 8 times.
- Angelo claims he rode 8/4 miles.
- Teresa claims he rode 2 miles.

From that we know that if Angelo rode around the trail 8 times and the trail is 1/4 a mile, he in total rode 8/4 of a mile.

However, Teresa claims he rode 2 miles!

And the answer is... they're both correct!

Angelo did indeed ride 8/4 miles however that is equivalent to 2 miles so they are both in the right.
7 0
3 years ago
What is 3 In 3 - In 9 expressed as a single natural logarthm?<br> in 3<br> In 6<br> In 18<br> In 27
topjm [15]

Step-by-step explanation:

3 \: In \: 3 - In \: 9 \\  = 3 \: In \: 3 - In \:  {3}^{2}  \\ = 3 \: In \: 3 - 2In \:  {3} \\  = (3 - 2)In \: 3 \\  = In \: 3 \\

Thus first option is the correct answer.

8 0
3 years ago
Give me the answers pls
Leviafan [203]

Answer:

6 square cm

Step-by-step explanation:

b = 4 cm, H = 3 cm

AREA OF THE TRIANGLE

A =  \frac{1}{2} bh  \\  \\ =  \frac{1}{2}  \times 4 \times 3 \\  \\  = 2 \times 3 \\  \\  = 6 \:  {cm}^{2}

6 0
3 years ago
Read 2 more answers
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