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Zina [86]
3 years ago
15

Please help please!!

Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0

It is a straight line, which is 180°

You have "missing angle" + 24° = 180°

Answer is 156°

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From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan
denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

\theta=32.5\° is the the angle of elevation

d=35.6 km is the horizontal distance between the plane and the radar station

x is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is <u>cosine</u>:

cos\theta=\frac{d}{x} because d is the adjacent side of the right triangle

cos(32.5\°)=\frac{35.6 km}{x}

Finding x:

x=\frac{35.6 km}{cos(32.5\°)}

x=42.21 km

4 0
4 years ago
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a,
omeli [17]
<span>f = v + at

Subtract v from both sides.

f - v = at

Divide both sides by a.

(f - v)/a = t

Switch sides.

t = (f - v)/a

t = \dfrac{f - v}{a}</span>
4 0
4 years ago
Read 2 more answers
1. a). A recipe uses 600 mL of flour for every 150mL of sugar. How much flour would be needed
Nataly [62]

Answer:

it is 750 ml of flour this is the answer

7 0
3 years ago
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The perimeter of a playing field for a certain sport is 254 ft. The length is 47 ft longer than the width. Find the dimensions.
Vikentia [17]

Answer: the length is 87 feet

The width is 40 feet

Step-by-step explanation:

Let L represent the length of the playing field.

Let W represent the width of the playing field.

The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a playing field for a certain sport is 254 ft. This means that

254 = 2(L + W)

L + W = 254/2

L + W = 127 - - - - - - - - - - - -1

The length is 47 ft longer than the width. This means that

L = W + 47

Substituting L = W + 47 into equation 1, it becomes

W + 47 + W = 127

2W + 47 = 127

2W = 127 - 47 = 80

W = 80/2 = 40

L = W + 47 = 40 + 47

L = 87

4 0
4 years ago
How many home runs did each player hit the season
olya-2409 [2.1K]
Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)

Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8

Therefore, Peter hit 8 home runs and Alice hit 10 home runs.
3 0
3 years ago
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