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Rama09 [41]
3 years ago
6

Can you guys help me

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

x = 9

Step-by-step explanation:

9 to the sixth power = 531441

9 to the third power = 729

531441 = x cubed × 729

Divide by 729 on both sides.

531441 divided by 729 equals 729

729 divided by 729 equals 0

729 = x cubed

Find cube root

9x9x9 =729

Cube root of 729 is 9

x=9

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The distance from Parrot Point Airport to the Ivy Cliffs is 178 miles at and angle of 7.1 degrees northeast. There is a wind blo
Hitman42 [59]

Answer:

The speed is 74.0 miles per hour and the angle is 65.1° north-east

Step-by-step explanation:

We resolve the distance moved by the wind and plane into horizontal and vertical components. The direction moved horizontally by the plane is 178sin7.1 = 22 miles.

Since the wind is moving south east, it is at 45 south of east or a bearing of 135.

Since the wind speed is 30 mph and it takes 2 hours to complete the trip, the horizontal distance moved by the wind is vtcos135 = 30 × 2cos45 = 42.43 miles

Also, the vertical displacement moved by the wind is vtsin135 = -30 × 2 sin45 = -42.43 miles

The displacement moved vertically by the plane is 178cos7.1 = 176.64 miles

The total horizontal displacement of the plane is 22 miles + 42.43 miles = 62.43 miles

The total vertical displacement of the plane is 176.64 miles - 42.43 miles =   134.21 miles

The resultant displacement is thus d = √(62.43² + 134.21²) = 148.02 miles

The direction of this displacement is thus

Ф = tan⁻¹(total vertical displacement/total horizontal displacement)

= tan⁻¹(134.21/62.43)

= tan⁻¹(2.1498)

= 65.05°

= 65.1° to the nearest tenth degree.

The speed is thus v = distance/ time = 148.02 miles/ 2 hours = 74.01 mph ≅ 74 mph. Since the direction of the displacement is the direction of the velocity, the velocity is thus 74 miles per hour at 65.1° north-east.

So the speed is 74.0 miles per hour and the angle is 65.1° north-east

8 0
3 years ago
Situation: A DJ will play music. The DJ charges $20 per hour plus a $50 appearance fee. Represent the relationship between the n
diamong [38]

Answer:total cost= 20x+50 x= number of hours

Step-by-step explanation: Gooooooooooooogle

6 0
1 year ago
1. The weights of 30 students in a class ( in Kg ) are as follows. 42 , 52, 46 ,63, 47 ,40,50,63,52, 57,40,47,55 ,52, 49, 42,56,
enyata [817]

Step-by-step explanation:

I think when you put the numbers orderwise

The range 40 - 50 in which most students lie

5 0
2 years ago
the hypotonuse of a right triangle measures 15cm and one of its legs meauseres 8cm find the measure of the other leg
Elza [17]

Answer:

12.6 cm

Step-by-step explanation:

(other leg)² = (15)² - (8)²

(other leg)² = 225 - 64

other leg = √161 ≈ 12.6 cm

8 0
2 years ago
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the u.s. has a population of 310,735,072 people. If there were a total of 63,494,576,914 liters of fresh water in the U.S., how
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