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Vera_Pavlovna [14]
2 years ago
7

QUESTION IN PIC- 20 POINTS :)

Mathematics
1 answer:
forsale [732]2 years ago
6 0

Answer:

  CD = 3 -√3

Step-by-step explanation:

The ratio of leg lengths in a 30°-60°-90° triangle is ...

  1 : √3 : 2

The longest leg of ΔABD is 2√3, so we must multiply all of these ratio values by √3 to see the actual lengths of the triangle sides.

  AB : BD : AD = 1 : √3 : 2 = √3 : 3 : 2√3

That is ...

  AB = √3

  BD = 3

__

The lengths of the legs in isosceles right triangle ABC are the same, so ...

  BC = AB = √3

Then the length of interest is ...

  CD = BD -BC

  CD = 3 -√3 . . . . . . . a=3, b=-1

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3 years ago
Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.
Ratling [72]

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

  • (3,4)
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The distance 'd' between (3,4) and (4,-6)

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

substituting the points values

   =\sqrt{\left(4-3\right)^2+\left(-6-4\right)^2}

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   =\sqrt{101}

   =10.0  units (Rounded to the nearest the Tenths Place)

Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

4 0
3 years ago
450 is 75% of what number
Sergeu [11.5K]
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There are the steps that I used to get that </span><span>450 is 75% 0f 600</span>
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Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4)
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An equation for the line of interest is ...
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3 min. and 6 sec.
Hope this helps!

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