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Montano1993 [528]
3 years ago
11

sylvia rented a boat for $16.50 per hour. Her total rental fee was 49.50. For how many hours did Sylvia rent the boat

Mathematics
1 answer:
Finger [1]3 years ago
3 0
49.50/16.50=3 hours is your answer
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What is the solution to the equation log(2x + 4) = 2? Round to the nearest thousandth, if necessary.
Kazeer [188]

Answer: 48

Step-by-step explanation:

log_{b}M=n--> M=b^{n} \\log(2x+4)=2\\b=10, M=2x+4, n= 2 \\\\2x+4=10^{2} \\2x+4=100\\2x=96\\x=48

5 0
3 years ago
Use trigonometry to find the value of x in the picture above.
bagirrra123 [75]

sin(48°) = x / 1200ft. Multiply each side by 1200ft.

1200ft × sin(48°) = x.

x = 891.77 ft.

4 0
3 years ago
Which set of values could be the side lengths of a 30-60-90 triangle?
Tju [1.3M]

Answer:

A

Step-by-step explanation:

I think you are in geometry I learned this a little back...

It's hard to explain but basically one side is just (n) another is (n(square root sign))and another is (2n.)    

So the answer Is a because in this case (n) is 4  

6 0
3 years ago
The question is in the screenshot
Sidana [21]

Answer:

b. -36/77

Step-by-step explanation:

As 0 < x < \pi/2 => tan x > 0

As 0< y <  \pi/2 => tan y > 0

We have the formula:

  • \frac{1}{sin^{2}x } =1 + cot^{2}x => \frac{1}{(8/17)^{2} } = 1+cot^{2}x => cot^{2} x=225/64

As tan x = 1/(cotx) => tan^{2}x = \frac{1}{cot^{2}x} =\frac{1}{225/64} = \frac{64}{225}

As tan x > 0 => tan x = 8/15

  • \frac{1}{cos^{2}y } = 1+tan^{2}y => \frac{1}{(3/5)^{2} } = 1 + tan^{2} y => tan^{2}y=\frac{16}{9}

As tan y > 0 => tan y = 4/3

As tan (x-y)= \frac{tan x - tan y}{1+ tanx * tany} =\frac{(8/15)-(4/3)}{1+(8/15)*(4/3)} = \frac{-36}{77}  

8 0
3 years ago
withdraws ​$ from bank account once each day for days. What integer represents the change in the amount in the​ account? Use pen
REY [17]

Answer:

a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.

He does this 4 times so;

= 4 * -11

= -$44

b. He then deposits $11 once every day for 4 days.

= 4 * 11

= $44

c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.

4 0
3 years ago
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