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3 years ago

10

How would you Evaluate. 5⋅4 ^0

1 answer:

solniwko [45]3 years ago

7 0

It is understood that 5.4^0 is the number 5.4 raised to the power zero.

There is a rule for this: any number raised to the power zero is 1.

So, 5.4 ^ 0 = 1.

You can show that any number raised to the power of zero is 1 using this:

A^0 = (A)^(m - m) = [A^m] / [A^m]

Given that the numerator and the numerator of that fraction are equals the result is 1.

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A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro

USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

$cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}$

After putting the given value, we get

$cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}$

$x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20$

∴ x = 247.12 m

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

$cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}$

After putting the given value, we get

$cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}$

∴ α = 148.759°

Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

8 0

3 years ago

What is the common difference is this sequence: 5,17,29,41,53?

Zina [86]

Answer:

12

Step-by-step explanation:

To find the common difference, we take the 2nd term and subtract the first term

17-5 =12

We check it with the 3rd term minus the second term

29-17 = 12

The common difference is 12

We add 12 each time

5 0

3 years ago

Square root of 10 to nearest Hun

AlekseyPX

3.16 use a calculator on these it will help out in not needing to wast a lot of paper

3 0

2 years ago

2 [ 32 - (4-1) to the third power ]

Tems11 [23]

Answer:

Step-by-step explanation:

2

4 0

2 years ago

Read 2 more answers

Answer this quickly please!

rodikova [14]

Answer:

$\bar v = 60\,mph$

Step-by-step explanation:

The distance travelled by Lisa in the first four hours of her trip is:

$\Delta s = \left(50\,mph)\cdot (4\,h)$

$\Delta s = 200\,mi$

The distance remaining and her average speed are, respectively:

$\Delta s_{R} = 440\,mi - 200\,mi$

$\Delta s_{R} = 240\,mi$

$\bar v = \frac{240\,mi}{4\,h}$

$\bar v = 60\,mph$

3 0

2 years ago