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evablogger [386]
3 years ago
15

Charlie walks away from a tree along its shadow until his head in in line with the top of his the tree’s shadow. Charlie is stan

ding 15 feet from the base of the tree and 6 feet from the end of the shadow. Charlie is 5 feet tall. What is the height of the tree?
Mathematics
1 answer:
DiKsa [7]3 years ago
5 0

Answer:

36

Step-by-step explanation:

You divide 15 and 5 then multiply it

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Solve for x in the equation x squared + 2 x + 1 = 17.
Papessa [141]

Answer:

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

Step-by-step explanation:

given equation

x^2 +2x +1 = 17

subtracting 17 from both sides

x^2 +2x +1 = 17\\x^2 +2x +1 -17= 17-17\\x^2 +2x - 16 = 0\\

the solution for quadratic equation

ax^2 + bx + c = 0 is given by

x = x = -b + \sqrt{b^2 - 4ac} /2a \\\\and \ \\-b - \sqrt{b^2 - 4ac} /2a

________________________________

in our problem

a = 1

b = 2

c = -16

x =( -2 + \sqrt{2^2 - 4*1*-16}) /2*1 \\x =( -2 + \sqrt{4  + 64}) /2\\x =( -2 + \sqrt{68} )/2\\x = ( -2 + \sqrt{4*17} )/2\\x =  ( -2 + 2\sqrt{17} )/2\\x = - 1 + \sqrt{17}\\and\\\\x = - 1 - \sqrt{17}\\

thus value of x is

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

3 0
3 years ago
What is the distance between -93 and 114 on a number line???
Alborosie

Answer:

207

Step-by-step explanation:

6 0
3 years ago
Dustin bought a flower pot that was marked down 60% from an original price of $2.50. If he paid 11% sales tax, what was the tota
grandymaker [24]

Answer:

He paid $1.11

Step-by-step explanation:

2.50 * 0.4 (he paid for 40% of the original price, since it was a 60% discount) = 1

1 * 0.11 (11% sales tax) = 0.11

1 + 0.11 = 1.11

7 0
3 years ago
Which expression is equivalent to 8a + 12b?
Jet001 [13]

Answer:

4 (2 a + 3 b)

Step-by-step explanation:

Simplify the following:

8 a + 12 b

Factor 4 out of 8 a + 12 b:

Answer: 4 (2 a + 3 b)

4 0
3 years ago
What is 3.69Divided by 3
mestny [16]
1.23 is the correct answer
3 0
3 years ago
Read 2 more answers
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