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Viktor [21]
4 years ago
8

In the right trange show, A=30 degrees and AC=12 How long is AB

Mathematics
1 answer:
Levart [38]4 years ago
4 0

Answer:

AB=6\sqrt{3}

Step-by-step explanation:

Given\ \angle A=30\textdegree\\\\AC=12\\\\\cos \theta=\frac{adjacent}{hypotenuse}\\\\\cos A=\frac{AB}{AC}\\\\\cos 30=\frac{AB}{12}\\\\\frac{\sqrt{3}}{2}=\frac{AB}{12}\\\\AB=6\sqrt{3}

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The probability of winning a game is 75%. How many times should you expect to win if you play 60 times?
AysviL [449]

Answer:

45\ games

Step-by-step explanation:

we know that

If the probability of winning a game is 75%

that means-----> of every 100 games wins 75

Using proportion

\frac{100}{75}=\frac{60}{x} \\ \\ x=75*60/100\\ \\x=45\ games

4 0
3 years ago
Tickets for a carnival cost $8 for children 12 and under and $12 for anyone over the age of 12. The carnival sold 233 tickets an
jenyasd209 [6]

Answer:

They sold 160 children's tickets.

Step-by-step explanation:

With the information provided, yoou can write the following equations:

x+y=233 (1)

8x+12y=2,156 (2), where:

x is the number of tickets for children 12 and under

y is the number of tickets for anyone over the age of 12

Now, you can solve for x in (1):

x=233-y (3)

Then, you have to replace (3) in (2) and solve for y:

8(233-y)+12y=2,156

1,864-8y+12y=2,156

4y=2,156-1,864

4y=292

y=292/4

y=73

Finally, you can replace the value of y in (3) to find x:

x=233-73

x=160

According to this, the answer is that they sold 160 children's tickets.

5 0
3 years ago
I need help , thanks .....
Rasek [7]
Answer and explanation
if the side ab is parallel to cd and the image is rotated the sides a’b and c’d are also parallel.
hope this helps :)
8 0
3 years ago
Which equation does NOT have infinitely many solutions?
svlad2 [7]

Answer:

3. is infinitely many solutions because the answer is 0=0

Step-by-step explanation:

3) 6x+4=6x+4

0=0

4 0
3 years ago
The perimeter of a triangle is 84 meters. The longest side of the triangle is 7 meters less than twice the length of the shortes
timofeeve [1]
There are the steps and answer to your question.

6 0
3 years ago
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