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3 years ago

Find the area of a regular hexagon whose apothem is 1.7cm and a side length is 2cm

Mathematics

1 answer:

tia_tia [17]3 years ago

7 0

Answer: 10.2 cm^2

Step-by-step explanation:

A regular hexagon is composed of 6 regular triangles whose area is equal to half of the product of the apothem and side.

A - triangle = (1/2)(a)(s) = (1/2)(1.7 cm)(2 cm) = 1.7 cm²

Multiplying this area by 6 to get the area of the hexagon gives us the answer which is 10.2 cm².

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3 years ago

33. Suppose you were on a planet where the

tatyana61 [14]

Answer:

a) 3.675 m

b) 3.67m

Explanation:

We are given acceleration due to gravity on earth = $9.8ms^-2$

And on planet given = $2.0ms^-2$

A) Since the maximum jump height is given by the formula

$\mathrm{H}=\frac{\left(\mathrm{v} 0^{2} \times \sin 2 \emptyset\right)}{2 \mathrm{g}}$

Where H = max jump height,

v0 = velocity of jump,

Ø = angle of jump and

g = acceleration due to gravity

Considering velocity and angle in both cases

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 2}{\mathrm{g} 1}$

Where H1 = jump height on given planet,

H2 = jump height on earth = 0.75m (given)

g1 = 2.0 $ms^-2$ and

g2 = 9.8 $ms^-2$

Substituting these values we get H1 = 3.675m which is the required answer

B) Formula to find height of ball thrown is given by

$\mathrm{h}=(\mathrm{v} 0 * \mathrm{t})+\frac{\mathrm{a} *\left(t^{2}\right)}{2}$

which is due to projectile motion of ball

Now h = max height,

v0 = initial velocity = 0,

t = time of motion,

a = acceleration = g = acceleration due to gravity

Considering t = same on both places we can write

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 1}{\mathrm{g} 2}$

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations

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We get h1 = 3.67m which is the required height

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4 years ago

At the Cubs/White Sox baseball game on Sunday night, 65% of the fans were men. Another 25% were women. Of the remainder, 40% wer

strojnjashka [21]

Ok, 65% of the attendants were men, 25% were women.

That leaves us with 10% remaining.

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So 10% * ( 0.4 ) = 4% ..............This means that 4% of the total attendants were boys.

So the distribution is

65%........men
25%........women
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6%...........girls

640 boys attended the game.....> this means that 4% of the total amount of people is 640.

So the number of persons that attended were

T= 100% *(640)) / 4% = 16000 people

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3 years ago