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3 years ago

What is the answer if 202^2 base3 - 112^2 base3?

Mathematics

1 answer:

yuradex [85]3 years ago

6 0

Answer:

Hello,

answer is 204 in base 10 or 21120 in base 3

Step-by-step explanation:

$((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_{10}\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_{10})^2=(400)_{10}\\\\((112)_3)^2=((14)_{10})^2=(196)_{10}\\\\(400-196)_{10}=(204)_{10}=(21120)_3$

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"A 20-foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the house. What is the measure

timama [110]

Answer:

Value of θ [Angle of elevation] = 72.54°

Step-by-step explanation:

Given;

Length of foot ladder = 20 feet

Distance of foot from house (Base) = 6 feet

Find:

Angle of elevation

Computation:

Using trigonometry functions

Cos θ = Base / Hypotenuse

Cos θ = Distance of foot from house (Base) / Length of foot ladder

Cos θ = 6 / 20

Cos θ = 0.3

Cos θ = Cos 72.54

Value of θ [Angle of elevation] = 72.54°

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3 years ago

Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long. Davie rides at 20 miles per hour and leave

ki77a [65]

80 divided by 20=4
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3 years ago

Read 2 more answers

Christy draws 3 cards from the deck one at a time without replacement. What is the probability of selecting the cards in the ord

Inga [223]

Start with a deck of 52 cards. Draw 1 card. Probability of drawing a diamond first:

$\dfrac{\binom{13}1}{\binom{52}1}$

Now draw another single card from the deck, which now contains 51 cards. Probability of drawing a spade:

$\dfrac{\binom{13}1}{\binom{51}1}$

Draw 1 last card. The deck has 50 cards left, and 12 of these are diamonds. Probability of drawing a diamond:

$\dfrac{\binom{12}1}{\binom{50}1}$

So the probability of drawing a diamond, then a spade, then another diamond is

$\dfrac{\binom{13}1}{\binom{52}1}\cdot\dfrac{\binom{13}1}{\binom{51}1}\cdot\dfrac{\binom{12}1}{\binom{50}1}=\dfrac{13}{850}$

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4 years ago

How to write thirty-four and twelve hundredths in standard form

Dafna11 [192]

To write this value simply write the first part of the value before the decimal point

Which is 34

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3 years ago

What is the square root of y^3

tia_tia [17]

Answer:

$y^{\frac{3}{2}$

Step-by-step explanation:

Let $m=\sqrt{y^3}$

$m=(y^3)^{\frac{1}{2}}\\\\m=y^{3\times \frac{1}{2}}\ \ \ \ \ \ \ \ \ [as\ (x^a)^b=x^{ab}]\\\\m=y^{\frac{3}{2}$

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3 years ago