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AVprozaik [17]
2 years ago
6

You throw three darts at the board shown. each dart hits the board and scores a 2​, 8​, or 32. how many different total scores c

an you​ make?
Mathematics
1 answer:
Sati [7]2 years ago
8 0
It can be 2,4,8,16,32
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Am I dealing with harmonic stuff (trig)?
pochemuha

You just need to solve for when y=0:

\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0

\implies\cos8t=9\sin8t

\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t

\implies8t=\tan^{-1}\dfrac19+n\pi

\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8

where n is any integer. We only care about when 0\le t\le1, which happens for n\in\{0,1,2\}.

t=\dfrac18\tan^{-1}\dfrac19\approx0.01

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41

t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80

8 0
3 years ago
Ariane borrows $300 on a 5−year loan. She is charged 5% simple interest per year. How much interest is she charged for 5 years?
AnnyKZ [126]

Answer:

Interest = $75

Total to pay back = $375

Step-by-step explanation:

The total amount she will have to pay back is found by the formula:

= Amount borrowed * (1 + rate * years)

= 300 * ( 1 + 5% * 5)

= $375

The interest is therefore:

= Amount to be paid back - Amount borrowed

= 375 - 300

= $75

6 0
2 years ago
Find the area of the figure
Aleonysh [2.5K]

the correct answer is 3249 sorry i took so long

6 0
3 years ago
Read 2 more answers
Solve the equation <br><br> 14 = 9 - p
morpeh [17]

14 = 9 - p

Move 9 to the other side

Sign changes from +9 to -9

14-9= 9-9-p

14-9= -p

5=-p

Mutiply both sides by -1 to get + p

(5)(-1)= (-p)(-1)

p= -5

Answer: p= -5

3 0
3 years ago
John has a coupon for 20% off any
sattari [20]

Answer:

$14.25

Step-by-step explanation:

20% of $15 is $0.75

$15 - $0.75 = $14.25

8 0
2 years ago
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