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Ann [662]
2 years ago
7

A flying squirrel lives in a nest that is 9 meters high in a tree. To reach a fallen acorn that is 4 meters from the base of the

tree, how far will the flying squirrel have to glide? If necessary, round to the nearest tenth.
Mathematics
1 answer:
Luba_88 [7]2 years ago
6 0

Answer:

Flying squirrel have to glide is for 9.8 meters approximately.

Step-by-step explanation:

Here we can use Pythagoras theorem.

Height is 9 , base is 4.

We need to find the hypotenuse measure.

So, let's use Pythagoras theorem a^{2} +b^{2}= c^{2}

Plug in a as 9 and b 4.

9^{2} +4^{2}=c^{2}

Simplify the left side of the equation

81+16=c^{2}

97=c^{2}

Take square root on both sides.

c=9.8 meters.

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Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator
zzz [600]

Answer:

B.

Step-by-step explanation:

To simplify something that looks like \frac{\text{whatever}}{\sqrt{a}-\sqrt{b}} you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

\sqrt{a}+\sqrt{b}.

If you had  \frac{\text{whatever}}{\sqrt{a}+\sqrt{b}}, then you would multiply top and bottom the conjugate of \sqrt{a}+\sqrt{b} which is \sqrt{a}-\sqrt{b}.

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens.  The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

(a+b)(a-b)

I'm going to use foil:

First:  a(a)=a^2

Outer: a(-b)=-ab

Inner:  b(a)=ab

Last:    b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of \sqrt{17}-\sqrt{2} is

\sqrt{17}+\sqrt{2}.

This is the thing we are multiplying and top and bottom.

3 0
3 years ago
Read 2 more answers
4
jeka57 [31]

Answer:

<h2>          5</h2>

Step-by-step explanation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-5,1)\quad\implies\quad x_1=-5\,,\ \ y_1=1\\\\(-1,4)\quad\implies\quad x_2=-1\,,\ \ y_2=4\\\\d=\sqrt{(-1+5)^2+(4-1)^2}= \sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5

4 0
3 years ago
PLEASE HELP!! will give brainliest if correct! Also plz no copied answers!
PtichkaEL [24]

Answer:

What is the question

Step-by-step explanation:

5 0
3 years ago
10x + 5x – 3 = 2(2x – 1)
DiKsa [7]

Answer:

The answer is x = 1/11

Step-by-step explanation:

hope this helps

10x + 5x – 3 = 2(2x – 1)

10x+5x-3=4x-2

15x-4x=-2+3

11x=1

To find x divide both sides by 11

11x/11=1/11

x= 1/11

8 0
3 years ago
Read 2 more answers
3. A building stands on level ground. The measure of the angle of elevation of the top of the building, taken at a
Natasha_Volkova [10]

Answer:

12,400

Step-by-step explanation:

so what you are going to first is 400 times 31 which is 12,400

7 0
3 years ago
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