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Mandarinka [93]
3 years ago
5

What number is 24% of 80

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0
The answer would be 19.2
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The distance from Parrot Point Airport to the Ivy Cliffs is 178 miles at and angle of 7.1 degrees northeast. There is a wind blo
Hitman42 [59]

Answer:

The speed is 74.0 miles per hour and the angle is 65.1° north-east

Step-by-step explanation:

We resolve the distance moved by the wind and plane into horizontal and vertical components. The direction moved horizontally by the plane is 178sin7.1 = 22 miles.

Since the wind is moving south east, it is at 45 south of east or a bearing of 135.

Since the wind speed is 30 mph and it takes 2 hours to complete the trip, the horizontal distance moved by the wind is vtcos135 = 30 × 2cos45 = 42.43 miles

Also, the vertical displacement moved by the wind is vtsin135 = -30 × 2 sin45 = -42.43 miles

The displacement moved vertically by the plane is 178cos7.1 = 176.64 miles

The total horizontal displacement of the plane is 22 miles + 42.43 miles = 62.43 miles

The total vertical displacement of the plane is 176.64 miles - 42.43 miles =   134.21 miles

The resultant displacement is thus d = √(62.43² + 134.21²) = 148.02 miles

The direction of this displacement is thus

Ф = tan⁻¹(total vertical displacement/total horizontal displacement)

= tan⁻¹(134.21/62.43)

= tan⁻¹(2.1498)

= 65.05°

= 65.1° to the nearest tenth degree.

The speed is thus v = distance/ time = 148.02 miles/ 2 hours = 74.01 mph ≅ 74 mph. Since the direction of the displacement is the direction of the velocity, the velocity is thus 74 miles per hour at 65.1° north-east.

So the speed is 74.0 miles per hour and the angle is 65.1° north-east

8 0
3 years ago
Which fraction and equivalent decimal correctly shows the ratio of shaded circles to all circles?
sergeinik [125]
Shaded circles = 4
Total circles = 12

\frac{shaded~circles}{total~circles} = \frac{4}{12}

\frac{4}{12} as a simplified expression = \frac{2}{6}
We can simplify it even more = \frac{1}{3}

Fraction = \frac{1}{3}

Equivalent decimal = 1 ÷ 3 = 0.33
3 0
3 years ago
Gabrielle sees a 30% discount on potted plants at the nursery. She chooses 3 potted plants whose regular prices are $3.59, $4.25
malfutka [58]

Using proportions, it is found that she will pay $8.28 in total after the discount.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Before tax, the total price is given by:

P = 3.59 + 4.25 + 3.99 = $11.83.

She gets a 30% discount, hence the proportion she pays is 70% of this amount, hence:

P = 0.7 x 11.83 = $8.28.

She will pay $8.28 in total after the discount.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0
1 year ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 3θ​
Nina [5.8K]
Take a quick peek at brainly.com/question/10417591
that's how you test for the y-axis, x-axis and origin

recall your symmetry identities, cos(- θ) = cos(θ)

so, simply replace θ for those values, and if the resultant function looks exactly like the original, then it has that symmetry.
5 0
3 years ago
2. The values below represent the heights of 4 candles
user100 [1]

Answer:

6, 27, 45, 279.

7 0
3 years ago
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