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3 years ago

6

While sitting in the quad on central campus, I counted 9 students riding 2-wheeled mopeds or 3-wheeled scooters, which made a to

tal of 21 wheels. How many mopeds and how many scooters passed by me?

1 answer:

storchak [24]3 years ago

4 0

Answer:

9+12=21

hope this helps!!

Step-by-step explanation:

mopeds; 3x3=9 + scotters 6x2=12

hope this helps!!

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4 years ago

[Precalculus] Find the value of sin(x/2):

dezoksy [38]

Put your number into the half-angle formula and simplify.

$\displaystyle\sin{\frac{\theta}{2}}=\pm\sqrt{\frac{1-\cos{\theta}}{2}}=\sqrt{\frac{1-\frac{1}{3}}{2}}\\\\=\sqrt{\frac{1}{3}}=\sqrt{\frac{3}{9}}\\\\=\frac{\sqrt{3}}{3}$

The appropriate selection is ...

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3 years ago

Find the length of the missing side of the right triangle. 19 a 15.2

diamong [38]

The length of the missing side of the triangle is 129.96

<h3>Right angle triangle</h3>

Right angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using Pythagoras theorem. Therefore,

c² = a² + b²

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c = hypotenuse

a and b are the other legs.

Therefore,

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a = 361 - 231.04

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learn more on right triangle here: brainly.com/question/20795478

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3 years ago

Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81+...

PilotLPTM [1.2K]

Note that A and D are ludicrous choices, so you can throw them away outright. (Any divergent series cannot have a sum, and any convergent series must have a sum.)

The sum is certainly convergent because it can be written as a geometric sum with common ratio between terms that is less than 1 in absolute value.

$S=\dfrac13+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots$
$S=\dfrac13\left(1+\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\cdots\right)$

We can then find the exact value of the sum:

$\dfrac23S=\dfrac13\left(\dfrac23+\dfrac{2^2}{3^2}+\dfrac{2^3}{3^3}+\dfrac{2^4}{3^4}+\cdots\right)$

$\impliesS-\dfrac23S=\dfrac13$
$\implies\dfrac13S=\dfrac13$
$\implies S=1$

So the answer is B.

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3 years ago