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Vlada [557]
3 years ago
14

A 24 foot ladder is placed against a building at an angle of 75⁰. How far is the bottom of the ladder from the building?

Mathematics
1 answer:
yanalaym [24]3 years ago
6 0
24ft is the hypotenuse, at an angle of 75<span>⁰, and we need to find the adjacent.

We use cos(), which is adjacent divided by hypotenuse.

Therefore, we can find the adjacent by doing:

25 * cos(75) = 6.47ft

Round the answer however you like.</span>
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What is the solution to the equation |x − 4| = 17?
andrey2020 [161]

~~~~~~|x-4| = 17\\\\\implies x -4 = 17~~~~ \text{or}~~~~~ x -4 = -17\\\\\implies x = 17+4~~~~\text{or}~~~~~ x = -17+4\\\\\implies x = 21~~~~~~~~~\text{or}~~~~~x = -13

8 0
2 years ago
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Anuta_ua [19.1K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18,
Alona [7]

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

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ANSWER: an = 6 × 3^(n - 1)

4 0
3 years ago
Gambler is deciding whether or not to take a bet. she must pay $40 to take the bet, but if she wins, she willprofit$225.theproba
Vesnalui [34]
Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.

Outcomes value probability
win            225    1/4
lose               0    3/4
cost of bet = 40

So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25

This means that in the long run, gambler will win, since the expected value is positive.  (does NOT mean she will win in the next bet!)
3 0
4 years ago
13
Assoli18 [71]
B)-3 for the vertex, do u have to graph it?
4 0
3 years ago
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