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san4es73 [151]
3 years ago
6

Which expression is equivalent to 1-2/3^-3? A. -27 B -9 C 9 D 27

Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

Answer:

1−2^-3/3

=1−1/8/3

=1−1/24

=23/24

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A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h cross wind blowing due eas
Ksju [112]

Answer:

The actual speed = 27.12 mi/h

Direction = 36.5° in NE(north of east)

Step-by-step explanation:

As given , A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E.

⇒θ = 36°

Let v₀ be the constant speed, then v₀ = 20

Let vₓ be the speed in East direction

     v_{y} be the speed in North direction

So,

vₓ  = v₀ sin(θ) = 20 sin(36°) + 10 ( As given, There is a 10mi/h cross wind blowing due east.)

⇒vₓ  = 20(0.588) + 10 = 11.76 + 10 = 21.76 mi/h

and   v_{y}  = v₀ cos(θ) = 20 cos(36°) = 20(0.809) = 16.18 mi/h

Now,

the actual speed = √(vₓ)² + (v_{y})²

                            = √(21.76)² + (16.18)²

                            = √473.498 + 261.792

                            = √735.29 =  27.12

⇒The actual speed = 27.12 mi/h

Now,

Direction = θ = tan^{-1}(\frac{v_{y} }{v_{x} } ) = tan^{-1}(\frac{16.18 }{21.76 } ) =  tan^{-1}(0.74) = 36.5

⇒ Direction = 36.5° in NE(north of east)

7 0
2 years ago
8 with a exponent of 2 +7
Lyrx [107]

Answer:

71

Step-by-step explanation:

8²=64

64+7=71

I hope this helps!

8 0
2 years ago
Read 2 more answers
If 3(x+2)=5(x-8) what is the value of x+2?<br><br>A. 23<br>B.25<br>C.40<br>D.46
lorasvet [3.4K]

3*x

3*2

3x+6

5*x

5*-8

5x-40

Story short the answer is 25

3 0
3 years ago
Read 2 more answers
35/45 reduced to lowest terms
PolarNik [594]

Answer:

Step-by-step explanation:

7/9

5 0
3 years ago
16. A plastic tray is shown, with the dimensions
Virty [35]

Answer:

calculate it. its not cheating, its like flash cards but better, besides its made for that reason.;)

Step-by-step explanation:

7 0
3 years ago
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