Find the missing length. Leave your answers as radicals in simplest answer

Answers

Answer 1
Answer: 45 45 90 triangle
legs are x and hypotonuse=x√2
10=furst x
10=x
hypotonuse=10√2
that hypotonuse is the leg of the other triangle
the hypotonuse is √2 times that
10√2=x of bigger triangle
hypotonuse=x√2=10√2 times √2=10*2=20

answer is 20 units

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What three even numbers add up to 54

Answers


The way I like to do these is like this ... without algebra:

-- If the 54 were split up into three equal pieces,
each piece would be 1/3 of 54 = 18 .

-- Can you take three equal size-18 pieces and change them in
such a way that they're all different but their sum doesn't change,
and they still add up to 54 ?

-- How about like this: 
Take 2 away from one piece and glue it onto a different one.
Now they still make the same 54 when you put them all into the same pot. 
But now they're all different ... instead of 18, 18, 18, now you have 16, 18, 20.

Look ma !  No algebra !

x = lowest
x+2 = middle
x+4 = largest

x +      x+2 +    x + 4 = 54

Combine like terms to get 3x + 6 = 54
Subtract 6 (both sides)           -6     -6
                                       3x = 48
divide by 3 (both sides)     3       3

x = 16 (smallest even number)   x+2 = 18 (middle even number and x+4 = 20 (largest even number)   Add them up 16+18+ 20 and sure enough, you get 54

The base area of the prism is 120 square feet. Its height is 5 feet what is the volume of the prism.

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oi,

 Remember that V = Bh, so V = 120 * 5 = 600 ft³ 

I hope this helps!

Name the polar coordinates for the point below.

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Each division in the angle measures 15 degrees and the point is in the second line so it has an angle of 30 degrees. Assuming that the graduation from the origin represents 1 radius unit, then the point is 3 units from the origin. The polar coordinates are
(3, 30°) or (3, π/3)

Solve the system of inequalities by graphing.
y<-4X – 1
y > 6x+7

Answers

Answer:  Graph A looks correct

Step-by-step explanation:

See attachment

Answer:

..A.nswer is option A..

Find the slope, if it exists, I the line containing the pair of points. (-8,-2) and (-11,-6)

Answers

delta y = (-6 - -2) = ( -6 + 2) = -4
delta x = ( -11 - -8) = (-11 + 8) = -3
slope is (delta y)/(delta x) = (-4/-3) = 4/3
(-8,-2), \ \ (-11,-6) \n \nFirst \ find \ the \ slope \ of \ the \ line \ thru \ the \ points \: \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) \n \nm=(-6-(-2))/(-11-(-8)) = (-6+2)/(-11+8) = (-4)/(-3) = (4)/(3)


Can you factor 30 X square minus 5X to the third

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30x^2 - 5X^3 = 5*6*x^2 - 5*x^2*x = 5x^2( 6 - x ).