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3 years ago

How is the area of a sail related to the weight of the pilot on a hang glider?

2 answers:

4 0

The area of the sail is correlated to the weight of the pilot on the hang glider because the surface area of the sail needs to be able to lift ≤ (greater than or equal to) weight of the pilot.

Lisa [10]3 years ago

3 0

The correct answer is:

The larger the surface area of the sail, the heavier the pilot can be and safely use the glider.

Explanation:

A hang glider must be able to support the weight of the pilot. The air pushing up under the sail (wing) of the glider helps support the weight. The more sail (wing) that you have, the more air pushing up, and the more weight it can hold.

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Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm.

Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

$A=\frac{bh_b}{2}$

$h_b=\sqrt{a^2-\frac{b^2}{4} }$

There are 2 solutions for $b$

$b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } }$ ≈ $10cm$ $b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm$

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

4 0

2 years ago

Question

blsea [12.9K]

Answer:

1. Rotate DEF 90 degrees clockwise about point D (8,1).

2. Translate DEF 8 units up.

3. Reflect DEF about the line x = 6.5.

Step-by-step explanation:

Sample answer for PLATO!

8 0

3 years ago

Read 2 more answers

The LCM of 4, 9, and 10 is _______. 36 180 40 90

Anna [14]

Answer:

180

Step-by-step explanation:

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200

Stay safe and Merry Christmas! :)

8 0

3 years ago

Read 2 more answers

10 times The sum of half a numberand six is eight

GuDViN [60]

The numerical form of this worded expression is:

10(1/2n + 6)=8

4 0

3 years ago

A baby’s t-shirt requires 2/9 yards of fabric. How many t-shirts can be made from 38 yards?

Bess [88]

8 4/9 hope this helps!!!

3 0

3 years ago