Hi!
<em>I think you mean
</em>
<h3>Which can be simplified to</h3>
∛24
Because the 3rd root of 24 is equal to
.
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<h3>Now remove all the cube roots from the expression by factorizing 24. </h3>
24/2 = 12
12/2 = 6
6/2 = 3
3/3 = 1
24 = 2 * 2 * 2 * 3
<u>24 = 2³ * 3</u>
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<h3>Now we have ∛2³ * ∛3</h3><h3>Simplify</h3>
2 * ∛3
<u>2∛3</u>
---------------------------------
<h2>The answer is 2∛3</h2>
Hope this helps! :)
-Peredhel
Answer:
1st option [1, infinity)
Step-by-step explanation:
the red interval starts left (on the low side) with 1 and continues to the right (the high side) without any end.
the 1 has a full dot, that means the number 1 itself is included in the interval.
but the left has no defined end. infinity is not a number and cannot be included as interval end.
so, the first answer option is correct.
the bracket at 1 indicates "included", white the parenthesis at "infinity" means "excluded".
no infinity (negative or positive) can ever be an included interval end.
and so, that is why you write this in the given way.
if the dot at 1 would be hollow, then that would mean that the value 1 itself would be excluded, and the second answer option would be right.
but it is not, so, the first option stays right.
the last 2 options are just nonsense. our red line/interval has nothing to do with the left end, the negative infinity.
Answer:
30
Step-by-step explanation:
Answer:
x = 7.5
Step-by-step explanation:
We first labelled the diagram we get
DC = 8
AD = 10
CE = 6
BE = x
∴ AC =AD + DC = 18
∴ BC = BE + ED = x + 6
To Find :
BE = x =?
Solution:
Let DE || AC
In Δ ABC and Δ DEC
∠A ≅ ∠D …………..{corresponding angles ∵ DE || AB }
∠B ≅ ∠E ..............{corresponding angles ∵ DE || AB }
∠C ≅ ∠C ……….....{Reflexive Property}
Δ ABC ~ Δ DEC ….{Angle-Angle-Angle Similarity test}
If two triangles are similar then their sites are in proportion.
On substituting the given values we get
∴ 
Answer:
1:8
Step-by-step explanation:
Given that in square ABCD, point M is the midpoint of side AB and point N is the midpoint of side BC.
Let the side of the square be a.
Area of square ABCD = 
The triangle AMN is having two legs of a right triangle as half of side of the square
i.e. Triangle AMN has base = height = a/2
So area of triangle AMN = 
Ratio of the area of triangle AMN to area of square ABCD
= 1:8