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Sergio039 [100]
3 years ago
15

1/8 in the form of 2^N

Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

1.0905

Step-by-step explanation:

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PLS HELP ME!!!!!!!! 99 POINTS
Amiraneli [1.4K]

Answer:

\angle LKN=\arctan1.8\sqrt{97}\approx 86.77^{\circ}

Step-by-step explanation:

Draw the second altitude MB (see attached diagram).

Quadrilateral HLMB is a rectangle, then LM = HB = 3 units.

Trapezoid KLMN is isosceles trapezoid (because KL=MN), thus

KH = BN = \dfrac{KN-HB}{2}=\dfrac{13-3}{2}=5\ units\\ \\HN=HB+BN=3+5=8\ units

Triangle LHN is right triangle, then by Pythagorean theorem,

LN^2=LH^2+HN^2\\ \\89^2=LH^2+8^2\\ \\LH^2=89^2-8^2\\ \\LH^2=(89-8)(89+8)\\ \\LH^2=81\cdot 97\\ \\LH=9\sqrt{97}\ units

Consider right triangle KLH. In this triangle,

\tan\angle LKH=\{\tan\angle LKH\}=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{LH}{KH}=\dfrac{9\sqrt{97}}{5}=1.8\sqrt{97}\ units

So,

\angle LKN=\arctan1.8\sqrt{97}\approx 86.77^{\circ}

5 0
3 years ago
Whats 3-3+ -3 +3<br> its trivia
frozen [14]

Answer:

Its still 0

Step-by-step explanation:

why the 3's though?

7 0
3 years ago
Read 2 more answers
Dimensions of a house are 300 feet by 125 feet. If 1 inch represents 50 feet, what are the dimensions of the house on the drawin
Lubov Fominskaja [6]

Answer:

divide 300 feet by 50 which is 6, divide 125 ft by 50 which is 2.5. Therefore your dimensions are 6 in by 2.5 in

if you're in putting in the computer it may want 2.5 in fraction form which is 2 1/2 in or in improper fraction form 5/2 in

Step-by-step explanation:

3 0
3 years ago
Plz some one help me
zvonat [6]
H,w,y




Hope this helps and good luck and happy holidays
3 0
3 years ago
2. (- 6x + 3) + (x - 7)​
liq [111]

Answer:

-5x-4

Step-by-step explanation:

You first have to combine like terms. (-6x + x) + (+3 -7) = -5x-4

5 0
3 years ago
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