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Sauron [17]
3 years ago
10

A rope is tied to the bottom of a hot air balloon ad shown below The rope makes an angle of 35 with the ground and is 75 ft long

. How far is the bottom of the balloon from the ground to the nearest foot .
Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Answer:

The answer to your question is 43 ft

Step-by-step explanation:

Data

angle = Ф = 35°

length = 75 ft

height = ?

Process

To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.

               sin Ф = Height / length

-Solve for height

                height = length x sin Ф

-Substitution

                height = 75 x sin 35

-Simplification

                height = 75 x 0.574

-Result

                 height = 43 ft

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Calculate sum5.3 +(-7.45) =
dsp73

Answer: -43/20

Step-by-step explanation: you just need a college calculator to solve ,you need to just plug the numbers and it will do it for you.

6 0
3 years ago
Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )
irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0
3 years ago
Chứng minh mệnh đề sau bằng phương pháp phản chứng:
GalinKa [24]

Answer:

Which language is this ?????

4 0
3 years ago
What is the opposite of 3?
chubhunter [2.5K]

Answer:

Yeah that's easy -3

Step-by-step explanation:

+3=3 which the opposite of a positive is a negative. So -3. Hope this help.

3 0
3 years ago
Need help please.
soldier1979 [14.2K]

Answer:

78.5%

Step-by-step explanation:

The area of the square is equal to diameter squared

i.e 4 in × 4 in = 16 square inches

The area of the circle is π × r²

i.e π × 2² = 12.56637061

The percent of the time the point will be in the circle = (Area of the circle) ÷ (Area of the square) × 100

i.e \frac{12.56637061}{16} × 100 = 78.53981631%

And is equal to 78.5% (rounded up to the nearest tenth of a percent)

8 0
3 years ago
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