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Aleksandr-060686 [28]
3 years ago
9

Use 45-45-90 & 30-60-90 Special Right Triangles to Solve. find the missing sir length. Leave you answers as radicals in simp

lest form

Mathematics
1 answer:
horsena [70]3 years ago
8 0

Answer:5) x=y=7×6^1/2,6)x=38,y=19×3^1/2

7)m=n=18,8)u= 2×5^1/2,v=3

Step-by-step explanation: use trigonometry laws

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Krystal's school is selling tickets to annual talent show.On the first day of the ticket sales the school sold 4 senior citizen
bogdanovich [222]

Answer:

<u>$4</u> is the price of a citizen ticket and <u>$3</u> is the price of a student ticket.

Step-by-step explanation:

Given:

Krystal's school is selling tickets to annual talent show.

The total ticket sold on the first day is 4 senior citizen tickets and 3 student tickets for a total of $25.

Now, to find the price of the student ticket and the price of the citizen ticket.

<u><em>Let the price of a citizen ticket be </em></u>x.<u><em /></u>

<u><em>Let the price of a student ticket be </em></u>y.<u><em /></u>

So, the total amount of the first day of the ticket sales:

4x+3y=25\ \ \ ....(1)

According to question:

The total amount of the second day of the ticket sales:

4x+14y=58\ \ \ \ .....(2)

Now, using the elimination method we solve the equation:

So, subtracting equation (1) from equation (2):

4x+14y-(4x+3y)=58-25\\\\4x+14y-4x-3y=58-25\\\\11y=33

<em>Dividing both sides by 11 we get:</em>

y=3.

<u>The price of a student ticket = $3.</u>

Now, substituting the value of y in equation (1) we get:

4x+3y=25\\\\4x+3\times 3=25\\\\4x+9=25\\\\Subtracting\ both\ sides\ by\ 9\ we\ get:\\\\4x=16\\\\Dividing\ both\ sides\ by\ 4\ we\ get:\\\\x=4.

<u>The price of a citizen ticket = $4.</u>

Thus, $4 is the price of a citizen ticket and $3 is the price of a student ticket.

6 0
3 years ago
How do i solve using the rational root theorem. 2x3-9x2-11x+8=0
Lapatulllka [165]
2(3)-9(2)-11x+8=0
(2)(3)-(9)(2)-11x+8=0
6+-18+-11x+8=0
(-11x)+(6+-18+8)=0 Combine Like Terms.
-11x+-4=0
-11x-4=0
Add 4 to both sides.
-11x-4+4=0+4
-11x=4
Divide both sides by -11.
-11x/-11=4/-11
x=-4/11

Hope this helps!

4 0
3 years ago
The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of th
nataly862011 [7]
Area=pi (radius^2) Plug in numbers. 206=3.14 (r^2) Divide both sides by 3.14 65.61=r^2 Then square root both sides. 8.1ft =r Then round to the nearest foot. r=8ft
3 0
3 years ago
A case in riverhead, new york, nine different crime victims listened to voice recordings of five different men. all nine victims
Alexus [3.1K]

the complete question in the attached figure

1) Find the probability that all nine victims would select the same person. You should enter your answer as a decimal, not as a percent. Do not round, as your answer should be a terminating decimal.

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

2) what is the probability that the first victim picks SOMEONE? ANYONE? 

P=(1/5)=0.20  ---------------- > 20%

3) Now let’s look at victim #2. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)=0.04 --------------> 4%

4) Now let’s look at victim #3. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)*(1/5)=0.008 --------------> 0.8%

5) Now let's look at victim #9. What is the probability that they pick the same person as victim #1? 

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

6) Once you find all those probabilities, what rule would apply?

the probability is given by (1/5)^n

n=number of victims that pick the same person---------> in this problem = 9

P=(1/5)^9= 0.000000512

5 0
3 years ago
Represente em uma reta numérica os conjuntos indicados abaixo (cada conjunto deve ser representado em uma reta numérica diferent
zmey [24]
La respuesta es C(-2,3) n(3,6)
3 0
2 years ago
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