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KiRa [710]
2 years ago
9

Eighth grade ) T.5 Pythagorean theorem: word problems 87U

Mathematics
1 answer:
Komok [63]2 years ago
7 0

Answer:

The tree is 12 feet tall

Step-by-step explanation:

Let a represent the length of where the bird was sitting to the oak tree

let b represent the height of the tree

let c represent the length at which the bird flew

by pythagoras theorem

c²=a²+b²

b²=c²-a²

b =  \sqrt{ {c}^{2} -  {a}^{2}  }

subtitute in the values

b =  \sqrt{ {15}^{2} -  {9}^{2}  }

b =  \sqrt{225 - 81}

b =  \sqrt{144}

b = 12

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According to forrest gump, "life is like a box of chocolates. you never know what you're gonna get." suppose a candy maker offer
kifflom [539]
14/20=0.7 or 70% are soft-centred. If we take two candies we have three possibilities associated with probabilities:
Both soft-centred: 0.7²=0.49 or 49%
Both hard-centred: 0.3²=0.09 or 9%
One of each: 2×0.3×0.7=0.42 or 42%. 49+9+42=100%. So these are all the possible outcomes.
6 0
3 years ago
The points in the table lie on a line. Find the slope of the line
8090 [49]

Answer:

1/2

Step-by-step explanation:

Pick two of the x's and y's

The first two columns in the table, the x's are -2 and 0 and the y's are 3 and 4.

The x value changes as a +2 and the y value changes from a +1 from the first two columns. Put the +2 as the denominator and the +1 as the numerator. 1/2

5 0
3 years ago
Please help me this is due today
Serjik [45]

Answer:

1. 15 (A)

2. 12 (G)

Step-by-step explanation:

1.  We can make an equation out of this...

    3x+3=48

    x is the age of Geoff which is what we are trying to find out

   

    We have to add 3 to both sides of the equation

    3x+3=48

         -3   -3

     ________

    we end up with 3x=45

     we then have to divide 3 by both sides because its the opposite of                

     multipling

    3x=45

    _____

         3

    we get x=15

2.   We can write a problem statement  

      (2 x 9)-6=?

       multiply 2 and 9 <u>FIRST</u>

     

       18-6=?

       your answer is 12

      Your Welcome! Have a great rest of your day! :)

 

       

     

7 0
2 years ago
Solve the system of equations given below
Fantom [35]

y-15=3x \\-2x+5y=-3 \\ \\-2x+y-15=0 /\cdot2 \\-2x+5y-3=0 /\cdot(-2) \\ \\-4x+2y-30=0 \\4x-10y+6=0 \\ \\-8y-24=0 \\\boxed{y=-3} \\ \\-3-15=3x \\\boxed{x=-6}

The answer is C. (-6, -3)

Hope this helps.

r3t40

8 0
3 years ago
Read 2 more answers
Find the equation of the line parallel to y=2x+1 that contains point (14,3)
Sophie [7]

First of all, remember what the equation of a line is:

y=mx+b

Where: 

m=slope

b=y-intercept.

Given this information, we can start by plugging in what we know, we are given the slope which is 2 so we can fill that in, remember m=slope

y=2x+b

To find b, think about what your (x,y) point means:<span>(14,3). When x of the line is 14, y of the line must be 3.

Because we were given the point (14,3) 
</span>

We need to find the value of b.  The 2 is already set and x and y are variables. We want the equation for the line that specifically passes through the given point (14,3).

<span>Plug in for x the number 14 and for y the number 3:
</span>(14,3).
 y=mx+b or 3=2 × 14+b,

solving for b: b=3-(2)(14). b=-25.

<span>Plug that in for b: 
</span><span>y=2x-25
<span>Final answer: 
</span><span>y=2x-25</span></span><span><span>
</span></span>
8 0
2 years ago
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