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3 years ago

Estimate square root of21

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

6 0

Square root of 21 is

4.58257569496

I rounded it to 4.58

frozen [14]3 years ago

4 0

Well, 21 isn't a perfect square, but we can estimate it and write it in decimal, which is:
4.58257569496 or 4.6

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In the figure, assume that angles that appear to be right angles are right angles

Oksi-84 [34.3K]

Answer: $71.13\ units^2$

Step-by-step explanation:

The area of the figure is the sum of the area of the semi-circle and the area of the trapezoid.

1.The area of the semi-circle can be found with this formula:

$A_{sc}=\frac{\pi r^2}{2}$

Where "r" is the radius.

In this case you can see that:

$r=3$

Therefore, its area is (Using 3.14 for $\pi$ ):

$A_{sc}=\frac{(3.14)( 3\ units)^2}{2}=14.13\ \ units^2$

2.The area of the trapezoid can be found with:

$A_t=\frac{h(B+b)}{2}$

Where "h" is the height and "B" and "b" are the lenghts of the bases.

In this case:

$h=6\ units\\\\B=11\ units\\\\b=8\ units$

Then. its area is:

$A_t=\frac{(6)(11+8)}{2}=57\ units^2$

3. Adding those areas, you get that the area of the figure is:

$A_f=14.13 \ units^2+57\ units^2=71.13\ units^2$

8 0

4 years ago

Function limits: Exercise approximation method

andriy [413]

9514 1404 393

Answer:

A. 2

B. 6

Step-by-step explanation:

The attachment shows the table of values for exercises A and B.

A spreadsheet is also a useful tool for repeated function evaluation. Most spreadsheets carry about 16 significant digits, so can give good approximations down to very small differences from the limit value.

Additional comment

Here, the function simplifies to ...

f(x) = (2x)(x -1)/(x -1) = 2x

The simplified function can be evaluated directly at the limit value of x, with no approximation needed.

5 0

3 years ago

Pls help this one I just don't get Thank you

serious [3.7K]

I know!

So since Volume = lwh

So you multiply all those mixed numbers, and whole numbers.

So it would look like this,

Length * width * height

Also, * = multiplication

So, in short.
Multiply all those numbers.

5 1/2 , 3 , 1 1/2

4 0

3 years ago

Read 2 more answers

• (1) Which of the following are AP’s ? If they form an AP, find the common difference d and write 3 more terms.

ki77a [65]

Answer:

Option (b) -1.2, -3.2,-5.2,-7.2,….. is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

Option (c) 2, 5/2 ,3, 7/2….. is AP

the common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

Step-by-step explanation:

AP ⇒ arithmetic progression is a sequence of numbers provide that the difference of any two successive members is a constant.

So, we will check the options:

• (a) 2,4,8,16……

The difference between 2 , 4 = 4 - 2 = 2

The difference between 4 , 8 = 8 - 4 = 4

So, option a is not AP

• (b) -1.2, -3.2,-5.2,-7.2,…..

The difference between -1.2 , -3.2 = -3.2 - (-1.2) = -3.2 + 1.2 = -2

The difference between -3.2 , -5.2 = -5.2 - (-3.2) = -5.2 + 3.2 = -2

So, option b is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

• (c) 2, 5/2 ,3, 7/2…..

The difference between 2 , 5/2 = 5/2 - 2 = 1/2

The difference between 5/2 , 3 = 3 - 5/2 = 1/2

So, option c is AP

The common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

• (d) -10,-6,-2.2, ……

The difference between -10 , -6 = -6 - (-10) = -6+10 = 4

The difference between -6 , -2.2 = -2.2 - (-6) = -2.2 + 6 = 3.8

So, option d is not AP

So, the options that form an AP are b and c

3 0

4 years ago

Rafael is going for a walk. He takes 4 hours to walk 6.4 miles. What is his speed?

cluponka [151]

Answer:

Step-by-step explanation:

1.6

4 0

4 years ago

Read 2 more answers