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krok68 [10]
2 years ago
8

A 25 foot cable is stretched from the top of an antenna to an anchor point on the ground. How tall is the antenna if the anchor

point is 12 feet from the base of the antenna (rounded to the nearest foot)? A) 20 ft B) 21 ft C) 22 ft D) 23 ft
Mathematics
2 answers:
dexar [7]2 years ago
8 0

Answer:

22

Step-by-step explanation:

aliina [53]2 years ago
4 0
22ft . use pythagoras theorem getting 25ft as your hypotenuse and 12 feet as your adjacent,which will give you a height of 21.9317122ft which when rounded off to nearest foot is 22ft a.
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Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11inc
babunello [35]

For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.

We have then:

h = \frac {1} {2} gt ^ 2 + vo * t + h0

Where,

  • <em>g: acceleration of gravity </em>
  • <em>vo: initial speed </em>
  • <em>h0: initial height </em>

For the first body:

h1 = \frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21

For the second body:

h2 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

By the time both bodies have the same height we have:

h1 = h2\\

\frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

Rewriting we have:

\frac {8} {12} * t + 21 = - \frac {11} {12} * t + 50

\frac {8} {12} * t + \frac {11} {12} * t = 50 - 21

\frac {19} {12} * t = 29

Clearing time:

t = 29 (\frac {12} {19})\\t = 18.31s

Answer:

 it takes 18.31s for the two window washers to reach the same height

6 0
2 years ago
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11. The probability that a dessert sold at a certain cafe contains chocolate is 75%. The probability that a dessert containing c
raketka [301]
probability that a dessert sold at a certain cafe contains chocolate is 86%.

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6 0
2 years ago
the members of the gardening group plan to build a walkway through the garden as formed by the IHOP potenuse of each of the four
aliya0001 [1]

Answer:

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Step-by-step explanation:

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Pythagorean Theorem is Hypotenuse^2=OneLeg^2+AnotherLeg^2

For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

hyp^2=6^2+8^2\\hyp^2=100\\hyp=10

For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:

hyp^2=12^2+8^2\\hyp^2=208\\hyp=\sqrt{208}

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

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8 0
2 years ago
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yawa3891 [41]

Answer: 8


Step-by-step explanation:

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let x be the total sheet.

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Therefore, if Pedro wants to make a sign from  each remaining part of the poster board.

then, The number of signs he can make= \frac{8}{10}\div \frac{1}{10}=\frac{8}{10}\times\frac{10}{1}=8

Hence, Pedro can make 8 signs.

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Answer:Step-by-step explanation:

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