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Bogdan [553]
3 years ago
9

Find the missing lengths of the sides.

Mathematics
1 answer:
ra1l [238]3 years ago
4 0
The answer is C, you can solve this by sin(30)= 8/c since sine is opposite over hypotenuse and since c equals 16 there is only one possible solution 
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The Frill family and the Smith family go to the movies.
Sati [7]

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

6a + 2c = 124

as equation 1,

and

3a + 5c = 100

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

(6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) =  - 76 \\  - 8c =  - 76 \\ c =  - 76 \div  - 8 \\  = 9.5

Now substitute c into equation 2.

3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\  = 17.5

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

7 0
3 years ago
What is the absolute value of –6? Use the number line to help answer the question. A number line going from negative 7 to positi
drek231 [11]
<h3>Answer:  6</h3>

Mark the locations -6 and 0 on the number line. Note that going from -6 to 0, or vice versa, will take exactly 6 steps. Put another way, the distance between 0 and -6 is 6 units. Absolute value represents distance, so it is never negative.

We say |-6| = 6

Effectively, all we're doing is removing the negative sign.

6 0
3 years ago
Read 2 more answers
James has $5.00 more than three times what Catherine has. Together they have $41.00. How much does each student have?
Tpy6a [65]
Hey.

acc'g to the conditions :

Let Catherine has x
and James has 5 + 3x

Then,

5 + 4x = 41 \\ \\ \implies 4x +5 -5 = 41-5 \\ \\ \implies 4x = 36 \\ \\ \implies x= \dfrac{36}{4} \\ \\ \implies x = 9

Hence

• Catherine has = x = $9,
• and James has = 5 +3x = 5 + 3(9) = $32

Thanks.
7 0
3 years ago
In a survey, 200 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The result
siniylev [52]

Answer/Step-by-step explanation:

a. % of people who smoke = no. of people who smoke ÷ total no. of people surveyed × 100

Total no. of people who smoke is given = 4 + 36 = 40

Total people surveyed = 200

% of people who smoke = \frac{40}{200}*100 = \frac{40}{2}*1 = 20 percent

a. % of people who do not exercise regularly = no. of people who do not exercise regularly ÷ total no. of people surveyed × 100

Total no. of people who do not exercise regularly = 36 + 134 = 170

Total people surveyed = 200

% of people who smoke = \frac{170}{200}*100 = \frac{170}{2}*1 = 85percent

8 0
4 years ago
The mean price of a textbook is $82, and the range of prices are $16. What are the possible prices for the textbook?
Akimi4 [234]
82$ and 74$ since there is a variety of the same numbers
7 0
2 years ago
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