HELPPPPPP PLEASEEEEEEE

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

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Answer:

200%

Step-by-step explanation:

It increases by 3 times. Because 100% increase is a 2x increase, 200% will be a 3x increase. Therefore, your answer is 200%.

Step-by-step explanation:

2 = 0.5^x - 4 is the same as

6 = 0.5^x

x is the logarithm of 6 to the base of 0.5.

which is the same as

log(6)/log(0.5) = -2.584962501...

I wrote this on a document in my previous years in school.

Answer:

1221

Step-by-step explanation:

here you go ...........

Answer:

1/10

Step-by-step explanation:

(3/5) - (1/2)

3/5 = 3*2/ 5*2 = 6/10

1/2 = 1*5/ 2*5 = 5/10

(6/10) - (5/10)

= (6-5) / 10

= 1/10

Im pretty sure the only prime number in between 90 and 100 is 97

Newton's first law of motion states that; An object continues to be in its state of rest or uniform motion unless acted upon by an external force in which case, it acts otherwise.

An example of this law is an orange placed on a table.

In essence, the orange continues in its state of rest unless acted upon by a force of push or otherwise by an individual or perhaps wind as the case may be.

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Answer:

$450+$50= X

X=$500

Step-by-step explanation:

The sale price is $450.00, so you take that amount and $50.00 which the amount he paid less and add them both. We do this because we want to see the original price of the computer. If it mentioned the original price already and the amount $50.00 and asked the sail price instead, we would have to subtract to get the answer.

Here we have to add.

450+50=500

(add the dollar sign)

$450+$50=X

X=$500

[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]

Answer:

-(127/12)

Step-by-step explanation:

-23/4 -29/6 = -254/24

-254/24 = -127/12

Answer:

$0.46

Step-by-step explanation:

6 apples = $2.82

1 apple = 2.82 / 6

= $0.46

Answer:

20x + 12y

Step-by-step explanation:

=> 4(5x + 3y)

=> 20x + 12y

Since we can't simplify this further, 20x + 12y is out answer.

Hoped this helped.

Answer:

-3 and 11

Step-by-step explanation:

Answer:

(2,2)

Step-by-step explanation:

-0.66

Step-by-step explanation:

can u mark me a brainliest

Using the exponential distribution, it is found that there is a 0.4462 = 44.62% probability that a customer waits less than 39 seconds.

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

In this problem, mean of 66 seconds, hence, the decay parameter is:

[tex]\mu = \frac{1}{66}[/tex]

The probability that a customer waits less than 39 seconds is:

[tex]P(X \leq 39) = 1 - e^{-\frac{39}{66}} = 0.4462[/tex]

0.4462 = 44.62% probability that a customer waits less than 39 seconds.

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Answer:

f(X)= 4 and g(X)= 49 are the answers!

Answer:

f(6) = -8

g(-3) = 49

Step-by-step explanation:

So when observing a function we have to remember that the desired input value is correspondent to the function. So when looking at the first function of:

f(x) = -2x+4

we can see that we are trying to find f(6) meaning all of the values of x are 6 in the equation. When plugging in the value of x into the equation then we have:

f(6) = -2(6)+4

the next step would be to simplify. -2*6 = -12 and -12+4=-8 and thus:

f(6) = -8

Now the steps are the same with g(-3) except with the other function:

g(x) = -2x^3-5

g(-3) = -2(-3)^3-5

g(-3) = 49

Answer:

D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?

Solution:-

Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]

Take the LCM of denominator 3 and 6 is 6.

Again take the LCM of denominator 4 and 12 is 12.

so,

⟼ [(5+4)/6 - (9+1)/12]

⟼ [9/6 - 10/12]

Now, take the LCM of the denominator 9 and 12 is 36.

⟼ [(54-30)/36]

Now, reduce the fraction by extracting and cancaling out with 2.

⟼ [24÷2/36÷2]

⟼ 12/18

⟼ 6÷3/9÷3

⟼ 2/3

Answer↓

Therefore, Evaluated form is 2/3.

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Answer:

y=-6x

Step-by-step explanation:

Slope intercept form is y=mx+b where b is the y intercept and m is the slope. In this particular example, the y intercept is at (0,0), the origin, so b=0. y=mx+0 or just y=mx. Now, to determine the slope, we must look at the graph. It appears the graph intersects the point (-10, 60) as well as the point (0,0). Other than just calculating it quickly in your head, the way to get slope from that is y1-y2/x1-x2. Setting that up, 60-0/-10-0, which is 60/-10, which is equal to -6. Put that into the equation and you get y=-6x

Answer:

2−4−12

Step-by-step explanation:

Answer:

597.6 Dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number of hours worked:

Overtime hours:

Gross payment:

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Cada bomba trabaja a un rate (razon de trabajo) R.

Sabemos que 3 bombas, trabajando 5 horas diarias por 10 días (un total de 50 horas), llena una piscina, entonces:

(3R)*50 horas= 1 piscina.

R = (1 piscina)/(150 horas).

Es decir, una sola bomba tarda 150 horas en llenar una piscina.

En el caso de que 5 bombas trabajen, tenemos que para llenar una piscina tienen que trabajar un tiempo T.

5*((1 piscina)/(150 horas))*T = 1 piscina.

(1 piscina)/(30 horas)

Resolviendo para T, obtenemos:

T = 1 piscina*(30 horas)/(1 piscina) = 30 horas.

Y sabemos que trabajan 8 horas diarias, es decir, las bombas deben trabajar durante:

30/8 = 3.75 ≈ 4 días.

5 bombas deben trabajar durante 4 dias para llenar la piscina.

Sí quieres aprender más sobre razones de trabajo.

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Answer:

[tex]n + (13 - 6) = 124[/tex]

[tex]n+13-6=124[/tex]

[tex]n+7=124[/tex]

[tex]n+7-7=124-7[/tex]

[tex]n=117[/tex]

Answer:

C

Step-by-step explanation:

i hope you'll find these useful......

Answer:

C, quadrant IV

Step-by-step explanation:

The X (13) is positive meaning the point is on the right side of the graph, and Y (-6) is negative so it's below the x axis