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Setler79 [48]
2 years ago
14

A flying squirrel's nest is 12 feet high in a tree. From its nest, the flying squirrel glides 20 feet to reach an acorn that is

on the ground. How far is the acorn from the base of the tree?
Mathematics
1 answer:
nasty-shy [4]2 years ago
8 0

Answer:

16 feets

Step-by-step explanation:

Distance (D) of acorn from base of tree :

Using Pythagoras :

Adjacent = sqrt[(hypotenus² - opposite²)]

Hence,

D = sqrt[(20² - 12²)]

D = sqrt[(400 - 144)]

D = sqrt(256)

D = 16 feets

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What is the volume of the rectangular prism?<br><br> Type the answer in the boxes below.
Wittaler [7]

Answer:

15 cm^3

Step-by-step explanation:

I think it's 15 because if you count, there are 30 boxes. Each box has a volume of 1/2, so you are supposed to multiply, which means 1/2x30.

1/2x30=15

I hope it's right!

8 0
2 years ago
A box contains five ping-pong balls, each with a number written on it. One ball has a one painted on it, one ball has a four, tw
Temka [501]

Answer:

0

Step-by-step explanation:

Numbers on balls:

1, 4, 7, 7, 8

Try to find the sum of all numbers:

1+4+7+7+8 = 27

According to the rule of 3, any number is dividable by 3 if the sum of it's individual is divided by 3.

27 is dividable by 3, therefore any combination will result a number with a factor of three.

Prime number is the number that is only dividable by 1 and itself. Therefore, any combination using those numbers are not prime number.

So the probability is 0

4 0
3 years ago
A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Orlov [11]

Answer:

<em>The equation of the Parabola</em>

 <em>(y - 6 )² = 8 (x -6)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

<u><em></em></u>

3 0
2 years ago
Solve the system of equations and choose the correct ordered pair.
Dafna1 [17]

So for this, I will be doing the elimination method. Firstly, multiply both sides of the first equation by 2:

6x-8y=52\\2x+8y=-36

Next, add the two equations together to get 8x=16 . From here you can solve for x.

For this equation, just divide both sides by 8 and your first answer will be x=2

Now that we have the value of x, substitute it into either equation to solve for y:

3*2-4y=26\\6-4y=26\\-4y=20\\y=-5\\\\2*2+8y=-36\\4+8y=-36\\8y=-40\\y=-5

<u>In short, the solution is (2,-5), or A.</u>

3 0
3 years ago
Read 2 more answers
Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2
Assoli18 [71]

Answer:

The answer is

Step-by-step explanation:

The line of g(x) is steeper and has a lower y-intercept

:)

That’s the answer <3

3 0
3 years ago
Read 2 more answers
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