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4 years ago

Evaluate to 212 base 3 - 121 base 3 + 222 base 3

Mathematics

1 answer:

aksik [14]4 years ago

5 0

Answer:

212 bp^3 (base pairs cubed) - 121 bp^3 (base pairs cubed) + 222 bp^3 (base pairs cubed) = 313 bp^3 (base pairs cubed

Step-by-step explanation:

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Find all the missing sides and angles (picture attached)

wel

Answer:

$\boxed{x=73.74}$

$\boxed{y=16.26}$

$\boxed{z=25}$

Step-by-step explanation:

Hello there!

Algebra 1

The first thing we should find is the missing angle

Because this is a right triangle we can solve it using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared

the formula... $a^2+b^2=c^2$ where a and b = legs and c = hypotenuse

we are given two legs so we plug in a and b and solve for c

$7^2+24^2=c^2\\7^2=49\\24^2=576\\576+49=625\\625=c^2\\\sqrt{c^2} =c\\\sqrt{625} =25\\c=25$

so we can conclude that the missing side length ( or z) equals 25

now to solve for the angles

Trigonometry

We can solve for y using sin

sin = opposite side divided by the hypotenuse

the opposite of y is 7 and the hypotenuse is 25

so we set up an equation $sin(y)=\frac{7}{25}$

now we solve for y

$\frac{7}{28} =.28\\arcsin(y)=y\\arcsin(.28)=16.26020471$

then we round to the nearest hundredth

so we can conclude that angle labeled y = 16.26

basic geometry

Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180

180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74

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Find the image of c under the translation described by each vector

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It's the third option

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Determine the intercepts of the line. y = 5x – 13 y-intercept:(,) x-intercept:(,)

jonny [76]

Answer:

Step-by-step explanation:

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3 years ago

The sum of the digits of a 5 digit positive integer =2 how many five digits integers exist?

yaroslaw [1]

Answer- 90000/2=45000

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3 years ago

Larger number: Smaller number:

3241004551 [841]

Let:

Larger number = x

Smaller number = y

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x + y = 49

x - y = 21

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Isolate the x in the first equation. Subtract y from both sides

x + y (-y) = 49 (-y)

x = 49 - y

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Now that we know what x is, plug in 49 - y (which = x) into x in the other equation.

x - y = 21

(49 - y) -y = 21

Simplify.

49 -2y = 21

Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First subtract 49 from both sides

-2y +49 (-49) = 21 (-49)

-2y = 21 - 49

-2y = -28

Next, divide -2 from both sides to isolate the y

-2y/-2 = -28/-2

y = -28/-2

y = 14

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Now that we know what y is, plug into one of the equations.

x + y = 49

x + (14) = 49

Isolate the x. Subtract 14 from both sides

x + 14 (-14) = 49 (-14)

x = 49 (-14)

Simplify

x = 35

-------------------------------------------------------------------------------------------------------------------

Answer:

Larger number: 35

Smaller number: 14

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hope this helps

5 0

3 years ago

Evaluate to 212 base 3 - 121 base 3 + 222 base 3​

Evaluate to 212 base 3 - 121 base 3 + 222 base 3