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2 years ago

Between What Two Integers Is The Value of The Square Root Of 21?

Mathematics

2 answers:

iVinArrow [24]2 years ago

6 0

4 & 5 I hope this helps you

mixas84 [53]2 years ago

3 0

Answer:

4 and 5

Step-by-step explanation:

The square root of 21 is 4.58257569 (rounded to 8 digits), which is between 4 & 5.

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I need help on #1 #3 #4

mr_godi [17]

1.) Word form: two hundred thirty-six and seventy-seven thousandths

Expanded notation: 200 + 30 + 6 + 0.0 + 0.07 + 0.007

There are no underlines?

3.) tenth: 7.3 hundredth: 7.31 thousandth: 7.305 whole number: 7

4.) Estimate: 10,400

Answer is 10,417

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3 years ago

Read 2 more answers

Round your answer to one decimal digit. The volume of a cylinder is 1800cm squared. if the height of the cylinder is 40cm then t

jonny [76]

$_____________________________________$

$\sf\huge\underline\red{SOLUTION:}$

Use formula:

$\sf{V = \pi(\frac{d}{2})^2h}$

Solving for diameter:

$\sf d = 2 \times \sqrt{ \frac{V}{\pi h} } \\ \sf = 2 \times \sqrt{ \frac{40}{\pi \times 1800} } \approx0.16821 \\ = \sf \large\boxed{\sf{\green{d = 0.17}}}$

$\sf\huge\underline\red{FINAL \: ANSWER}$

$\large\boxed{\sf{\green{d=0.17}}}$

$_____________________________________$

✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ

✍︎ᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢ

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3 years ago

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

Hello can you please help me posted picture of question

vagabundo [1.1K]

We are to select 2 people to sit in first row from 6.

This is a problem of Combinations. We are find permutation of 6 people taken 2 at a time. This can be represented as 6C2.

$6C2= \frac{6!}{4!*2!} \\ \\=15$

So, the answer is option B

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2 years ago

Prove that the diagonals of a parallelogram bisect each other.

lutik1710 [3]

Answer:2a + 2b, 2c

Step-by-step explanation:

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3 years ago