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____ [38]
4 years ago
15

A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35 degrees with the ground distant

of 75 feet. How far is the bottom of the balloon from the ground to the nearest foot. (Please show work)

Mathematics
1 answer:
Inessa05 [86]4 years ago
7 0
To get the distance of the balloon from the the bottom to the ground we apply the following trigonometric formula:
sin θ=opposite/hypotenuse
θ=35°
opposite=height,h
hypotenuse=75ft
Thus plugging our values in the formula we obtain:
sin 35=h/75
solving for h we get
h=75sin 35
h=43.02~43 ft
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Sveta_85 [38]

Answer:

The lateral surface area of the cone is 25120\ m^2.

Step-by-step explanation:

We have.

Height of a cone is 60 m

Diameter of a cone is 10 m

Radius, r = 80 m

The lateral surface area of a cone is given by :

A=\pi rl

l is slant height of the cone,

l=\sqrt{60^2+80^2} =100\ m

Plugging all values in above formula,

A=3.14\times 80\times 100\\\\A=25120\ m^2

So, the lateral surface area of the cone is 25120\ m^2.

6 0
3 years ago
What is the domain of the rational function, f of x equals quantity x minus 5 over quantity 2 times x minus 3
liq [111]

Answer:

<u>Domain = R - {3/2}</u>

Step-by-step explanation:

The domain of a rational function consists of all the real numbers x except those for which the denominator is 0

The given function is :

f(x) = \frac{x-5}{2x-3}

We need to find the zeros of the denominator

∴ 2x - 3 = 0    ⇒ add 3 to both sides

∴ 2x = 3          ⇒ divide both side by 2

∴ x = 3/2        

The domain will be all real number except the zeros of the denominator.

So, Domain = R - {3/2}

Also, see the attached figure that represents the given function.

7 0
3 years ago
How many ways can two marbles be chosen from a set of five marbles?<br> 5<br> 10<br> 15<br> 20
PtichkaEL [24]

Answer:

The answer is 20.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Plz help!!
Alexxx [7]

Answer:

there is a 3/4 chance that they pass will be completed, 3/4=75%.

Step-by-step explanation:

Thats all I got, I hope this may help tho! :)

6 0
3 years ago
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Find the approximate solution of this system of equations. y = |x^2 − 3x + 1|
Aneli [31]
*Hint: When you have two y's, they could equal each other in order to solve for the x value.

|x^2 -3x + 1| = - (x - 1)
x^2 -3x + 1 = -x + 1
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x (x - 2)
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Once both of them are plugged in, only x = 2 works so that's the value for x. Now we just plug it in order to solve for y.

y = x - 1
y = 2 - 1
y = 1

(2, 1)
The answer would be C.
5 0
3 years ago
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