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UkoKoshka [18]
3 years ago
15

the fire hydrant sits 72 feet from the base of a 125-foot buiding. Find the ANGLE OF ELEVATION from the fire hydrant to the top

of the building. *

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...

  Tan = Opposite/Adjacent

For our angle of elevation α, this means ...

  tan(α) = 125/72

  α = arctan(125/72) = 60.058°

  α ≈ 60°

The angle of elevation is about 60°.

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3(1 - 3x) = 2(- 4x + 7) solve
Over [174]

Answer:

x=-11

Step-by-step explanation:

3(1-3x)=2(-4x+7)

1) Distribute 3 to 1 and -3x:

3-9x=2(-4x+7)

2) Distribute 2 to -4x and 7:

3-9x=-8x+14

3) Subtract 3 from both sides::

-9x=-8x+11

4) Add 8x to both sides:

-1x=11

5) Divide both sides by -1:

x=-11

Footnotes:

-The <u>Distributive</u> property says a(b+c)=ab+ac

-When you have a negative variable, there is an implied (-1) before the variable :)

4 0
3 years ago
Read 2 more answers
In a game of roulette, Jorge places 170 bets of each on the number 3. A win pays off with odds 35:1 and on any one spin there is
Fudgin [204]

Answer:

An estimate of the probability that Jorge will make a profit is (5; 0.496)

Step-by-step explanation:

The total cost = 170x1 = $170

The payoff is $35 per $1 bet

The number of wins needed to make a profit = 170/35 = 4.86 \approx 5

Probability of winning, P(win), p = 1/38

n = 170

P(Jorge will make a profit) = P(at least 5 wins)

mean = np = 4.47

standard deviation = \sqrt{npq} = 2.09

P(X \geq 5) = 1 - P(X < 5)

P(X < A) = 1 - P(Z < (A - mean)/standard deviation)

After the application of continuity correction,

P(X \geq 5) = 1 - P(Z < (4.5 - 4.47)/2.09)

= 1 - P(Z < 0.01)

= 1 - 0.5040

P(X \geq 5 = 0.496

An estimate of the probability that Jorge will make a profit is (5; 0.496)

3 0
3 years ago
Read 2 more answers
If sample bias exists, then we can easily trust using the sample as representative of the
Lina20 [59]
<h3>Answer:  False</h3>

Explanation:

If the sample is biased, then it does not represent the population. A biased sample favors one or more groups over others.

For example, if the sample consisted of only men, then the sample is biased toward men and leaves out women from the group. Hence, this sample does not represent everyone.

6 0
3 years ago
Read 2 more answers
- Is this a function? Why or why not?
tensa zangetsu [6.8K]

9514 1404 393

Answer:

  a) yes (a function)

  b) no (not a function)

Step-by-step explanation:

A functional relationship will have only one value of dependent variable for each value of independent variable. That is, the column on the left can only have one arrow tail per item.

__

a) is a function. Each independent variable maps to one dependent value

b) not a function. Independent variable values 7 and 30 map to two values each.

7 0
3 years ago
2x + 3y = 13<br> 4x - y = -2
Mama L [17]

Answer:

x=1/2. y=4

Step-by-step explanation:

4(2x+3y=13)=8x+12y=52

2(4x-y=-2)=8x-2y=-4

subtract equation one from equation two to get

14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one

5 0
4 years ago
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