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3 years ago

Which of the following expression is equivalent to 6^−7? A 1/(−6)^−7 B 1/6^7 C (−6^)−7 D 1/6^−7

Mathematics

1 answer:

german3 years ago

8 0

Answer:B

Step-by-step explanation: The answer is B. 1/6^7. Your trying to find the reciprocal of 6^-7. The way you do that is put a 1 over the 6 with a power of -7 like this (6^-7)/(1) and that's how you get your answer!

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An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 . At this time, the horizontal distance from t

Aleonysh [2.5K]

Answer:

404.98 m

Step-by-step explanation:

The angle of depression is 5°

The horizontal distance from the airplane to the atoll is 4629 meters.

We need to find the height of the plane.

If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :

$\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m$

So, the height of the plane is 404.98 m.

6 0

3 years ago

The unit digit of a two digit number is one less than the ten digit number. If the number is increase by 8 and then divided by t

Colt1911 [192]

The tens digit is 3; the units digit is 3-1 = 2; and the number itself is 32.

<em>Lets simplify the problem,</em>

Let assume the "tens" digit be x

Then the "units" difference = (x-1), according to the condition.

Hence, the number itself is N = 10x + (x-1).

Then the number N+8 is 10x + (x-1) + 8 = 10x + x + 7 = 11x + 7.

From the last statement of the problem, we have this equation

$N+8 = 8*(x+y),or11x + 7 = 8*(x+(x-1)).$

Simplify and find "x"

$11x + 7 = 8*(2x-1)11x + 7 = 16x - 87 + 8 = 16x - 11x15 = 5xx = 15/5 = 3$ .

Thus the tens digit is 3; the units digit is 3-1 = 2; and the number itself is 32.

Learn more about UNIT Problems on:

brainly.com/question/12253743

#SPJ4

6 0

2 years ago

a water tank is 5cm tall and has a diameter of 3,5m . calculate the capacity (volume) of the tank .use π=3,14

Evgesh-ka [11]

Step-by-step explanation:

Firstly convert the diameter into cm

t480812.5cm³hus 3.5×100=350cm

Volume=

$\frac{\pi {d}^{2} h}{4}$

$\frac{3.14 \times (350) {}^{2} \times 5 }{4}$

=480812.5cm³

8 0

3 years ago

A fair die is tossed 5 times. Let <img src="https://tex.z-dn.net/?f=%5Cdfrac%7Bm%7D%7Bn%7D" id="TexFormula1" title="\dfrac{m}{n}

Ray Of Light [21]

Answer:

m = 1

Step-by-step explanation:

We can suppose that the number we are looking for is for example 5.

(we can do so because the probability is the same for each number - it'sna fair dice)

For the first toss the probability we have 5 is 1/6 (we have 6 numbers on the dice and number 5 is just one of the possible 6 outcomes).

For the second toss the probability we have 5 is again 1/6.

For the rest of 3 tosses we don'tcare what number we will get( we have our two consecutive 5s), so all of the outcomes for the rest of 3 tosses are good for us (probability is 6/6 = 1)

Threfore, the probability to get two consecutive 5s is 1/6 * 1/6 * 1 * 1 * 1 = 1/36.

We can see that m = 1.

4 0

3 years ago

What is the area of the following circle?

Marysya12 [62]

Answer:

Area = pi X r^2 = pi x (1)^2 = 3.14 x 1 = 3.14

Step-by-step explanation:

3 0

3 years ago

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