<u><em>Answer:</em></u>
The shorter leg is
inches
<u><em>Explanation:</em></u>
The 30°-60°-90° is a special type of right-angled triangles
<u>It has the following special side length:</u>
The length of the side opposite to the 30° is
the length of the hypotenuse
The length of the side opposite to the 60° is
of the hypotenuse
<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles
<u>This means that</u> the shortest side will be the one opposite to the smallest angles
In our case, the shortest side will be the one opposite to the 30° angle
We are given that the hypotenuse of the triangle is
in
<u>From the above:</u>
Shorter leg = leg opposite to 30° =
inches
Hope this helps :)
Answer:
3 (x-12) (x+2)
Step-by-step explanation:
3 ( x^2 - 10 x - 24)
3 (x-12) (x+2)
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The product to 2.25 x 0.04 is 0.09
Answer:
For 1,000 bricks, the amount charged will be the same
Step-by-step explanation:
Let the number of bricks for which they charge the same amount be $x
Thus;
The total cost from the first company will
be;
250 + 0.2(x) = 250 + 0.2x
The second will charge;
400 + 0.05(x) = 400 + 0.05x
Since the amount charged will be equal at x bricks, we need to equate both;
400 + 0.05x = 250 + 0.2x
400-250 = 0.2x-0.05x
150 = 0.15x
x = 150/0.15
x = 1,000