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Lorico [155]
3 years ago
7

Please see the question and solve plz​

Mathematics
1 answer:
Korolek [52]3 years ago
7 0

Answer:

Step-by-step explanation:

sin²β + sin²β×tan²β = tan²β

sin²β( 1 + tan²β ) = tan²β

~~~~~~~~~~~~~~~~

<u><em>sin²β + cos²β = 1  </em></u>

<u><em /></u>\frac{sin^2\beta }{cos^2\beta } + \frac{cos^2\beta }{cos^2\beta } = \frac{1}{cos^2\beta } ⇒ tan²β + 1 = sec²β ⇔ 1 + tan²β = sec²β

~~~~~~~~~~~~~~

1 + tan²β = \frac{1}{cos^2 \beta }

L.H. = sin²β ( \frac{1}{cos^2 \beta } ) = tan²β

R.H. = tan²β

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members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.
WITCHER [35]
When handling problems of this nature make sure you setup the equations. 
x = number of times they rent a boat. 

Members 
Cost = 105 + 9.50x
Non members because members don't have to pay the 105 we leave it out. 
Cost = 14.75x 

so now to determin when cost would be equal we set the two equations = to each other

105 + 9.50x = 14.75x 

now solve for x 

105 = 5.25x
 
20 = x 

so they would have to rent 20 times to equal each other. 
4 0
2 years ago
A bag contains white marbles and red marbles, 20 in total. The number of white marbles is 5 more than 2 times the number of red
Nitella [24]

Answer:

15

Step-by-step explanation:

let r represent red marbles then white = 2r + 5 and total is 20, thus

r + 2r + 5 = 20 ( subtract 5 from both sides )

3r = 15 ( divide both sides by 3 )

r = 5 ← number of red marbles

Thus number of white = 20 - 5 = 15

7 0
3 years ago
How many posible solutions for x-3y=-3 and -2x+6y=12
Alexus [3.1K]

Answer:

there are no solutions

Step-by-step explanation:

x-3y=-3

-2x+6y=12

multiply the first equation by 2

2( x-3y)=-3*2

2x-6y = -6

add the 2 equations together


2x-6y = -6

-2x+6y=12

-------------------

0 = -6

this is not true

so there are no solutions

7 0
3 years ago
Write an expression for "8 times z."
garri49 [273]

Answer: 8z 8(z)

Explanation: well 8 times z is simply 8(z)I don’t really think there is another way

5 0
2 years ago
Alyssa used 12 gallons of white paint for the ceiling of her kitchen and 13 gallons of white paint for her bedroom. She used
Arturiano [62]
She used 10 more gallons of green paint

Hope this helps if it does yourwelcome
6 0
2 years ago
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