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marin [14]
3 years ago
15

30 points pls answer

Mathematics
2 answers:
Bad White [126]3 years ago
6 0
A) 2 * 3 * 4 = 24

b) (2 * 3 + 2 * 4 + 3 * 4) * 2 = 52
tia_tia [17]3 years ago
5 0
(a) What is the capacity of the container?Volume = length * width * heightV = 4ft * 2ft * 3ftV = 24 ft³
(b) How much material was used to make the container?Surface area = sum of 6 faces of the prism4 ft x 3 ft = 12 ft² → 12 ft² x 2 = 24 ft²4 ft x 2 ft = 8 ft² → 8 ft² x 2 = 16 ft²2 ft x 3 ft = 6 ft² → 6 ft² x 2 = 12 ft²
Surface area = 24 ft² + 16 ft² + 12 ft² = 52 ft²hope this helps
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What's the square root of 25 in **simplest radical form**
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Answer:

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Step-by-step explanation:

The square Root of 25 in its simplest form means to get the number 25 inside the radical √ as low as possible.

25 is a perfect square, which means that you can simply calculate the square Root of 25 to get the answer. 5 times 5 equals 25. Thus, the square Root of 25 in simplest radical form is:

5

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Set of data with 350,000 numbers is normally
Rudiy27

Step-by-step explanation:

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0.9987

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If I got $5 a week how much money would I have after 3 weeks
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6 0
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Read 2 more answers
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
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