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2 years ago

The loudest insect on Earth is the African cidada

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

5 0

Wrong subject, but that is true. You should have information to back that up also.

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Evaluate.

lozanna [386]

Answer: 289/900

Explanation: I did this before

4 0

8 months ago

Read 2 more answers

8^-8 in fraction form show work please and thank you

Strike441 [17]

If there is a negative exponent, bring the exponent and it’s base to the denominator:
1/8^8
Then, simplify
1/16777216
Hope this helps!

6 0

3 years ago

an airplane travels 4688 kilometers against the wind in 8 hours and 5808 kilometers with the wind in the same amount of time. wh

Vladimir [108]

The speed of wind is 656 kmph and speed of plane is 70 kmph.

<u>SOLUTION: </u>

Given that, an air-plane travels 4688 kilometers against the wind in 8 hours

And 5808 kilometers with the wind in the same amount of time.

We have to find the rate of the plane in still air and the rate of wind

Now, let the speed of wind be a kmph and speed of plane be b kmph.

And we know that, $\text { distance }=\text { speed } \times \text { time }$

$\begin{array}{l}{\text { Then, while travelling with wind } \rightarrow 5808=(a+b) \times 8 \rightarrow a+b=726 \rightarrow a=726-b \rightarrow(1)} \\\\ {\text { While travelling against wind } \rightarrow 4688=(a-b) \times 8 \rightarrow a-b=586 \rightarrow(2)}\end{array}$

Substituting (1) in (2) we get,

$\Rightarrow 726-b-b = 586\Rightarrow -2b=586-726 \Rightarrow -2b=-140$

$\Rightarrow b=\frac{140}{2} \Rightarrowb=70\Rightarrow (3)$

On substituting (3) in (1) we get,

$a=726-70=656\Rightarrow a=656$

Hence, the speed of wind is 656 kmph and speed of plane is 70 kmph.

4 0

3 years ago

In ΔNOP, n = 910 inches, o = 110 inches and p=820 inches. Find the measure of ∠P to the nearest degree.

Sophie [7]

Given:

In ΔNOP, n = 910 inches, o = 110 inches and p=820 inches.

To find:

The measure of ∠P to the nearest degree.

Solution:

According to the law of cosine:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Using law of cosine in triangle NOP, we get

$\cos P=\dfrac{n^2+o^2-p^2}{2no}$

Putting the given values, we get

$\cos P=\dfrac{(910)^2+(110)^2-(820)^2}{2(910)(110)}$

$\cos P=\dfrac{828100+12100-672400}{200200}$

$\cos P=\dfrac{167800}{200200}$

$\cos P=0.83816$

Taking cos inverse on both sides, we get

$P=\cos^{-1}(0.83816)$

$P=(33.05367)^\circ$

$P\approx 33^\circ$

Therefore, the measure of ∠P is 33°.

8 0

2 years ago

Read 2 more answers

Algebra question I don’t get it because you usually have to multiple A by C but there is no C in the problem.

Misha Larkins [42]

Ok so basically, when you say multiply A by C, that is simplifying.

And in this case, you are factorising in this question. You turn back into brackets basically.

We have:
72x^2 - 32

x^2 = x squared

factorising means finding the factor of.

(Forget the x squared for the moment to make life easier)

Factors of 72:
1 and 72
2 and 36
3 and 24
4 and 18
6 and 12
8 and 9
(9 and 8 = it repeats so we stop there)

And then factors of 32:
1 and 32
2 and 16
4 and 8
(8 and 4 = repeats so we stop there)

Notice how we see 8 twice in both factors of 72 and 32, this means that we use 8 as the main number we are going to multiply each of the 2 numbers in the brackets by. This is because it is the biggest common factor - this is what we have!

This is what we would have:
8(9-4)

BUT, that is not the answer!
Keep in mind we have the x squared too

But, 32 doesn’t have it?!!

It would be:
8(9x^2 - 4)

Do you get it??

Try to simplify it! Does it equal to 72x^2 - 32?

(And I am so very sorry for the long explanation, once you get the hang of it, it makes sense. Hope my explanation helped) :)

6 0

3 years ago