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MrRa [10]
3 years ago
9

(10.01 MC) Marko is playing the video game Fort Attack. The purpose of the game is to shoot invading bandits that are trying to

breach the fort's circular wall, and Marko must provide the angle at which the cannon should turn in order to shoot the attacking bandits. The bandit is attacking as pictured in the figure below: 30l What is the angle of fire in standard position on the unit circle in both degrees and radians? (2 points)

Mathematics
2 answers:
rusak2 [61]3 years ago
8 0
Angle of fire in degrees = 90 + 30 =120 degrees

Angle of fire radians =180 degrees = π

120* π/180=120π /180 OR 4π/6 OR 2π/3
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

The image show the shooting angles arrangement.

If we sum angles we have that the shooting angle is 120°.

Now, we have to transform this into radians units.

We know that \pi = 180\°

Then, 120\°.\frac{\pi}{180\°} =\frac{12\pi}{18}=\frac{6\pi }{9}=\frac{2\pi}{3}

Therefore, the shooting angles is 120° or \frac{2\pi}{3}radians

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Anyone? Help please its my final test!!!
Pavlova-9 [17]

Answer:

yes ; 17.5 ft

Step-by-step explanation:

Triangle PRQ is isosceles

the base angle are equals

we know two legs, so we can find the tangent of angle x

tan = opposite/adjacent

tan = 7/16 = 0.4375

the angle x measure 23.6 degrees circa (we can calculate this with the button tan -1 on the calculator)

the roof is safe

B we can use the Phytagorean theorem to solve this

PR = √16^2 + 7^2 = √256 + 49 = 17,46... = 17.5 ft

6 0
3 years ago
PLEASE HELP GIVING MANY POINTS!
NeTakaya

Answer:

  69.01 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...

  tan(50°) = (h -1.65)/d

Rearranging to solve for d, we have ...

  d = (h -1.65)/tan(50°)

The distance across the plaza from the second surveyor satisfies the relation ...

  tan(30°) = (101.65 -h)/d

Rearranging this, we have ...

  d = (101.65 -h)/tan(30°)

Equating these expressions for d, we can solve for h.

  (h -1.65)/tan(50°) = (101.65 -h)/tan(30°)

  h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)

We can divide by the coefficient of h and simplify to get ...

  h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))

  h ≈ 69.0148 ≈ 69.01 . . . . meters

The tip of the spire is 69.01 m above the plaza.

3 0
3 years ago
six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and na
raketka [301]

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

6 0
3 years ago
( x - 2 ) ( x + 2 ) ( x bình + 4 ) - ( x bình - 2 ) ( x bình + 3 )
kifflom [539]

Answer:

( x - 2 ) ( x + 2 ) ( x² + 4 ) - ( x² - 2 ) ( x² + 3 )

(x²– 4) (x²+4) – (x⁴ + x² – 6)

( x⁴ – 16 ) – ( x⁴ + x² – 6 )

( x⁴ – 16 ) + ( – x⁴ – x² + 6 )

– x² – 10

I hope I helped you^_^

5 0
3 years ago
a pet shop sells a 6 can multipack of dog food for £3.18 and a 15 can multipack for £7.80. which multipack is the best value for
Annette [7]

Answer:

the 15 multi pack

Step-by-step explanation:

8 0
3 years ago
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