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harina [27]
3 years ago
11

Which expression represents the sentence "add the product of 3 and 6 to 4?"

Mathematics
2 answers:
klio [65]3 years ago
8 0
The answer is (3x4)+4
Alex17521 [72]3 years ago
7 0
The expression would be (3X6) + 4
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Charlie is watching hot air balloons. balloon a has risen at a 50° angle. balloon b has risen at a 78° angle. if the distance fr
AfilCa [17]

The distance from Balloon A to Balloon B, d ≈ 1,052 feet

What is distance ?

  • Distance is defined to be the magnitude or size of displacement between two positions.
  • Note that the distance between two positions is not the same as the distance traveled between them.
  • Distance traveled is the total length of the path traveled between two positions. Distance traveled is not a vector.

The given parameters are;

The angle at which Balloon A rises, x° = 50° above horizontal

The angle at which Balloon B rises, y° = 78° above horizontal

The (vertical) distance of Balloon A to the ground, h = 1,000 ft.

The required parameter;

The distance from Balloon A to Balloon B, d

We find the distances of the balloons from Charlie and the angle between the balloon strings, θ, then apply cosine rule

Let,

The height of the balloon strings are equal

The distance of Balloon A to the ground, h₁ = The distance of Balloon B to the ground, h₂ = 1,000 ft.

The distance of the Balloon A  from Charlie, l₁, is given as follows;

l₁ × sin(x°) = h₁

∴ l₁ = h₁/(sin(x°))

Which gives;

l₁ = 1,000 ft./(sin(50°)) ≈ 1,305.41 ft.

l₁ ≈ 1,305.41 ft.

For Balloon B, we get;

h₁ = h₂ = 1,000 ft.

∴ l₂ = 1,000 ft./(sin(78°)) ≈ 1,022.34 ft.

l₂ ≈ 1,022.34 ft

The angle between the balloon strings, θ = 180° - (x° + y°)

∴ θ = 180° - (50° + 78°) = 52°

The angle between the balloon strings, θ = 52°

By cosine rule, we have;

d = √(l₁² + l₂² - 2 × l₁ × l₂ × cos(θ))

∴ d = √(1,305.41² + 1,022.34² - 2 × 1,305.41×1,022.34 × cos(52°)) ≈ 1,052 feet

Therefore, the distance from Balloon A to Balloon B, d ≈ 1,052 feet

Learn more about distance

brainly.com/question/15172156

#SPJ4

7 0
2 years ago
In 1 hr, a plane can travel 440 mi into the wind and 480 mi with the wind. Find the wind speed and the rate of the plane in stil
nexus9112 [7]

Answer:

the plane would fall and crash at 150mph

Step-by-step explanation:

8 0
3 years ago
What number will the function return if the input is 15.4?
wlad13 [49]

The rule of the function is to multiply the input by 3, since one yard is equal in length to three feet.

So, if the input is 15.4, the output will be

f(x)=3x \implies f(15.4)=3\cdot 15.4 = 46.2

4 0
3 years ago
Find the slope of the line that passes through the following points. Write "undefined" if the slope is undefined.
Katyanochek1 [597]

The slope of the line that passes through the following points is undefined

<em><u>Solution:</u></em>

Given that, We have to find the slope of line passing through two points

Given points are (-1, 5) and (-1, 6)

<em><u>The slope of line is given by formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

From given,

(x_1, y_1) = (-1, 5)\\\\(x_2, y_2) = (-1, 6)

<em><u>Substituting the values we get,</u></em>

m = \frac{6-5}{-1-(-1)}\\\\m = \frac{1}{-1+1}\\\\m = \frac{1}{0}

Thus the slope is undefined

5 0
3 years ago
The length of a rectangle is twice its width. If the perimeter of the rectangle is 30m, find its area.
expeople1 [14]

Answer:

If the perimeter of the rectangle is 30cm , find its area. W=5 FOR THE WIDTH. 5*10=50 FOR THE AREA.

Step-by-step explanation:

6 0
3 years ago
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