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Reptile [31]
3 years ago
6

Please help asap! Worth 15 points

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0

Answer:

personally i think its c

Step-by-step explanation:

sdas [7]3 years ago
3 0

Answer: the second one

Step-by-step explanation:

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Evaluate -125^(-1/3)
soldi70 [24.7K]

Answer:

1/-125^(1/3)

=1/-5

=-0.2

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The probability is 4 out of 14
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A rectangle is 25 feet long.Its area is 375 square feet. What is the width of the rectangle?
frosja888 [35]

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The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.
MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle =3\times\ side

3\times\ side =[tex]81\sqrt{3}

Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm

Thus from the diagram , Side AB=BC=AC= 27\sqrt{3} \ cm

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus \angle OBC = 30°

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2}  } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\

Thus ,apothem  OE= 13.5 cm

Now for radius,

We consider ΔOBE

cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB}  \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0
3 years ago
What is m <br> angle 1?<br> 35°<br> 40°<br> 55°<br> 70°
gizmo_the_mogwai [7]

9514 1404 393

Answer:

  (b)  40°

Step-by-step explanation:

Angle x and the one marked 70° are alternate interior angles, so are congruent. The sum of the two base angles of the isosceles triangle is ...

  x° +x° = 70° +70° = 140°

So, the remaining angle 1 in the triangle is ...

  180° -140° = 40°

  ∠1 = 40°

5 0
2 years ago
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