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AysviL [449]
3 years ago
12

A golfer needs to know how tall a tree is to chip a ball over the tree onto the green in a golf match. his caddie knows that he

is 10 feet from the tree and has an angle of elevation of 52°. what is the height of the tree to the nearest whole number?
Mathematics
1 answer:
Inga [223]3 years ago
7 0
The height of the trre will be given by:
tan θ=(opposite)/(adjacent)

θ=52°
Adjacent= distance of the golfer to the tree= 10 ft
opposite = height, h, of the tree
thus
tan 52=h/10
hence solving for h we get:
h=10tan52
h=12.799~12.8 ft

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6x-5y=15 x=y+3 find x and y
arlik [135]

Answer:

(0, -3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

6x - 5y = 15

x = y + 3

<u>Step 2: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                  6(y + 3) - 5y = 15
  2. Distribute 6:                                                                                                    6y + 18 - 5y = 15
  3. Combine like terms:                                                                                        y + 18 = 15
  4. [Subtraction Property of Equality] Subtract 18 on both sides:                     y = -3

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x = y + 3
  2. Substitute in <em>y</em>:                                                                                                   x = -3 + 3
  3. Add:                                                                                                                   x = 0
7 0
3 years ago
-2 square root 20- square root 125
Andru [333]

Answer:-5.93958251....

Step-by-step explanation:

7 0
3 years ago
Suppose you have a 1/10 chance of winning with a scratch-off lottery ticket. If you buy 3 tickets, what is the probability of wi
serious [3.7K]
You would do 1/10^3 so a 1and 1000th chance
4 0
3 years ago
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–8z – 14z i just need an answer
lilavasa [31]

Answer:

-22z

Step-by-step explanation:

-8z - 14z = -22z // Addition ( - - = +)

7 0
3 years ago
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What to the third power is equal to 729
atroni [7]

If you had absolutely no idea, then you'd have roughly two choices
of how to find it:

#1).  Try numbers until you find the right one.

        Pick a number.
        Cube it.
        If you get less than 729, go back and try a bigger number.
        If you get more than 729, go back and try a smaller number.
        Eventually you find the right one.  

Try 1.        1³ = 1 .            Too small.
Try 2.        2³ = 8 .            Still too small.
Try 5.        5³ = 125 .        Still too small.
Try 20.     20³ = 8,000.      Ooops.  Too big.
Try 10.     10³ = 1,000       Too big.
Try 8.         8³ = 512.         Oooo.  Too small, but maybe getting close.
Try 8.5.    8.5³ = 614.125   Still too small, but very close.
Try 9.         9³ = 729 .       That's it !            yay !


#2).  x³ = 729

Take the log of each side:      log(x³) = log(729)

                                         3 log(x)  =  log(729)

Divide each side by  3 :         log (x)  =  (1/3) log(729)

Look up log(729) :                 log(x)  =  (1/3) (2.86272...)

                                                      =    0.95424...
Raise 10 to the power
of each side:                      10^log(x)  =  10⁰·⁹⁵⁴²⁴···  

                                               x        =  8.99994...

                                         (That's the way it is with logs.
                                          They never come out even.)
5 0
3 years ago
Read 2 more answers
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