Estimating Irrational Numbers​

Estimating Irrational Numbers

Answers

Answer 1
The idea here for estimating square roots is to pin the number under the radical (2 in this case) between two perfect squares.

2 is between 1 and 4.

sqrt(1) = 1 and sqrt(4) = 2.

Since 2 is between 1 and 4, sqrt(2) is between sqrt(1) and sqrt(4).

This means sqrt(2) is between 1 and 2.

Related Questions

4(4-w)=3(2w+2)
find w​

Answers

Answer:

1

Step-by-step explanation:

4(4-w) = 3(2w+2)

Use distributive property:

16 - 4w = 6w + 6

    +4w  +4w

------------------------

     16 = 10w + 6

    -6              -6

-------------------------

        10 = 10w

        ----    -----

        10      10

         1 = w

Hope this helped.

S O L U T I O N :

4(4 - w) = 3(2w + 2)

16 - 4w = 6w + 6

16 - 6 = 6w + 4w

10w = 10

w = 10/10

w = 1

Hence, the required answer is 1

If Kyle earns $12.50 per hour, how many hours did he work if he earned a total of $400. Set up an equation and solve. Let x = hours.​

Answers

Answer:

32.

Step-by-step explanation:

Here is the equation I used. (x = hours)

$400 = $12.50x

To find how many hours he needs to work, divide both sides by 12.50 to get x by itself.

400/12.50 = 12.50x/12.50

Which equals:

32 = x

Let x = hours.
We have: 12.5 • x = 400
-> x= 400 / 12.5 = 32
So he has been work for 32 hours

Hope it helps! If it is, Brainliest please!

what's the Answer ?

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

Answers

Answer:

Solution given;

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]

[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]

[tex]\dfrac{15}{3}[/tex]

=5

Answer:

First, simplify the content under root:

[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]

Now, use the following identity:

[tex]\sqrt{a^2} = |a|[/tex] = ± a

Last, we get:

√25 = √5² = ± 5

Anyone who is interested in construction, please help! Pweeeeseeee(;´༎ຶٹ༎ຶ`)

Answers

Answer:

I have ans in the picture form.

Step-by-step explanation:

Take it

Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.

What will your final grade be if your homework average is 85 and your test average is 76?

Answers

Answer:

≈ 82

Step-by-step explanation:

Add 67% of 85 to 33% of 76:

85*0.67 + 76*0.33 = 82.03 ≈ 82

67% of 85

[tex]\\ \sf\longmapsto \dfrac{67}{100}\times 85[/tex]

[tex]\\ \sf\longmapsto 85(0.67)[/tex]

[tex]\\ \sf\longmapsto 56.95[/tex]

33% of 76

[tex]\\ \sf\longmapsto \dfrac{33}{100}\times 76[/tex]

[tex]\\ \sf\longmapsto 76(0.33)[/tex]

[tex]\\ \sf\longmapsto 25.08[/tex]

Add both

[tex]\\ \sf\longmapsto 56.95+25.08[/tex]

[tex]\\ \sf\longmapsto 82.03[/tex]

what is the same as moving the decimal point 3 places to the left in a decimal number ?

1. Multiplying the number by 1,000
2. Dividing the number by 1,000
3. Multiplying the number by 100
4. Dividing the number by 100

Answers

Answer:
Dividing the number by 1000

Explanation:
10,000 moved 3 decimal places to the left is 10
10,000 decided by 1,000 is 10

A soda company has sales of $35,135 million in 2010 and 45,954 million in 2014. Use the midpoint formula to estimate the sales in 2012. Assume the sales followed a linear pattern

Answers

75,655 million that’s it am I not correct?

giving 10 points image is attached

Answers

Answer:A

Step-by-step explanation:


Multiply. Express your answer in simplest form.

3 1/8 × 4/5

A 3 29/32
B 2 1/2
C 3 1/10
D 32/125




Answers

Answer:

B. [tex] 2 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]3 \frac{1}{8} \times \frac{4}{5} [/tex]

[tex] \frac{25}{8} \times \frac{4}{5} [/tex]

[tex] = \frac{5}{2} = 2 \frac{1}{2} [/tex]

AB = 6 and AC=13. Find BC.

Answers

Answer:

BC = 7

Step-by-step explanation:

AB + BC = AC

Substitute values for the line segments:

6 + BC = 13

Isolate line segment BC by subtracting both sides by 6:

6 - 6 + BC = 13 - 6

0 + BC = 13 - 6

BC = 7

Check your work:

6 + 7 = 13

13 = 13

Correct!

Find the solution to this equation.
x + 4 = 2x + 8
2
A
All real numbers
B.
No solution

Answers

No solution, the result of doing the problem is x-4=x which is impossible

Answer:

A. All real numbers.

Step-by-step explanation:

[tex]x + 4 = \frac{2x + 8}{2} \: \: multipling \: both \: sides \: by \: 2 \\ 2(x + 4) = 2x + 8 \\ 2x + 8 = 2x + 8[/tex]

When you end up with a true statement like this, it means that the solution to the equation is “all real numbers”. Any value for x that you can think of will make this equation true.

Since the card has $0 minimum payments for the first 4 years it is active, Emma wonders how much it will cost her if she
doesn't pay off the $300 balance until after college. How much will she owe in 4 years?
Type the correct response in the box. Use numerals instead of words. Round your answer to the nearest dollar.
In 4 years, Emma will owe about $

Answers

Answer:

$544.61

Step-by-step explanation:

Edmentum

In 4 years, Emma will owe about $544.61 to the credit card company.

The model for Emma's debt in 4 years is given as:

FV = P(1+r/n)^nt,

where:

P = principal ($300)

r = the interest rate (15%)

t = the time in years (4 years)

n = the number of times the interest is compounded per year (12)

However, we can solve the problem with an online financial calculator as follows:

Data and Calculations:

N (# of periods) = 48 (4 x 12 months)

I/Y (Interest per year) = 15%

PV (Present Value) = $300

PMT (Periodic Payment) = $0

P/Y (# of periods per year) = 12

C/Y (# of times interest compound per year) = 12

Results:

FV = $544.61

Total Interest = $244.61

Complete Question:

Emma doesn't have experience using credit cards. In fact, she just got her first one. She is also about to start her first year of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the terms of her credit card:

It has a 15% annual interest rate.The interest is compounded monthly.The card has $0 minimum payments for the first four years it is active.

Thus, in 4 years, Emma will owe $544.61 to the credit card company.

Learn more about determining future value from present value at https://brainly.com/question/24703884

A popular amusement park has had199,792,458 visitors since it opened. Which
number, written in scientific notation, is the
best approximation of the number of visitors?
a) 0.2 x 107 visitors
b) 0.2 x 108 visitors
c) 2.0 x 107 visitors
d) 2.0 x 108 visitors

Answers

Answer:

d) 2.0 * 10⁸

Step-by-step explanation:

199,792,458  ≈ 200,000,000 = 2.0* 10⁸

how would I simplify by combining like terms. -5a - 4a + b

Answers

Answer:

Step-by-step explanation:

-5a-4a+b

-5a-4a are like terms

-5a-4a+b

-9a+b

please mark this answer as brainlist

When Beth last checked the clock it was 2:17 pm.

It is now 5:00 pm.

How much time has elapsed?

Answers

2 hours and 43 minutes has passed!!!

Answer:

The time is 2:43

Step-by-step explanation:

I did it in my head....

EASY MATH ALGEBRA 1 PLEASE HELP

Answers

Answer:

|-x|

Step-by-step explanation:

A reflection across the y-axis means the negative is on the inside: g(-x)

Which of the following best describes the graph below?

Answers

Answer:

the answer is c

Step-by-step explanation:

because it takes a non-negative number as input and returns the square root of that number as output.

i think the answer is c, i’m pretty sure it is

Brooke spent 3/4 hours playing her flute each day for 7 days. How many hours did she play her flute in all

Answers

Answer:

5 and 1/4 hours or 5 hours and 15 minutes

Step-by-step explanation:

She played her flute 3/4 hours every day for 7 days, so to find the total number of hours we can multiply 3/4 by 7 to get 21/4.  This is equal to 5 and 1/4 hours, or 5 hours and 15 minutes.

Answer:  5.25 hrs

Step-by-step explanation:  3/4 of an hour is 45 min.  45 min x 7 days is 315 min which is 5 hours and 15 min or 5.25 hrs

Which of the following sets could be the sides of a right triangle?

{2, 3, √10 }
{3, 5,√34 }
{5, 8, 12}

Answers

I believe that it’s the last one because it makes the most sence but then again i could be wrong

solve giving brainlist if it right

Answers

F is the numerator of the fraction. To solve move g over to the opposite side by multiplying both sides by g:

F = h * g

Evaluate: – 10+26 (-7)||
A - 74
B 74
94
-94
please answer asap

Answers

The answer to the equation is -192

Blake and josh are both saving money for a new bike the ratio of Blake,s saving to josh saving 3:1 if they have saved 400$, how much has each boy saved

Answers

Answer:

Bake = $300

Josh = $100

Step-by-step explanation:

3:1

3(00) / 1(00)

300   /   100

Chow,...!

Solve for h.

2(h − 16) − 16 = –12

h =

Answers

Answer:

18

Step-by-step explanation:

2h - 32 - 16 = -12

2h - 48= -12

2h =-12+48

h=36\2

h = 18

Answer:

h = 18

Step-by-step explanation:

Given

2(h - 16) - 16 = - 12 ← distribute and simplify left side

2h - 32 - 16 = - 12

2h - 48 = - 12 ( add 48 to both sides )

2h = 36 ( divide both sides by 2 )

h = 18

please help me for my homework​

Answers

When converting a decimal to a percent, all you need to do is move the decimal over two places… so, 0.63 becomes 63%
(Basically how 63/100 is the same proportion as 0.63/1.00)

Given m||n, find the value of x. (3x+10) (6x-10)

Answers

Answer:

Use the given functions to set up and simplify  

( 3x   +  10 )  ( 6 x  −  10 )   =     18 x^ 2  +  30 x  −  100

1. (5x2-2x+3) + (x2+x+2)

Answers

The answer is: x^2-x+15

Which of the following statements must be true based on the diagram below? Select
all that apply. (Diagram is not to scale.)
L
K
O
M M
P
N
OP is a segment bisector.
OP is a perpendicular bisector.
OOP is an angle bisector.
O is the vertex of a pair of congruent angles in the diagram.
O is the vertex of a right angle.
Pis the midpoint of a segment in the diagram.

Answers

We have with a  study the diagram of the diagram below and the explanations that follows the correct answers are

NONONOYESNOThe mid point of this segment can be derived by drawing diagonals across the 4 vertex LMNK.

Generally

1)

OP is a segment bisector.

NO

OP is not a segment bisector because it those not divide segment LKMN in to two equal parts.

2)

OP is a perpendicular bisector.

NO

OP is not a perpendicular bisector because a perpendicular bisector is a bisector that cuts a segment into two equal parts and create an angle to the normal

3)

OP is an angle bisector

NO.

Because OP those not divide any angles into two equal parts

4)

O is the vertex of a pair of congruent angles in the diagram.

YES

Because O lines in between two angles of the same degree()

5)

O is the vertex of a right angle.

NO

Because O those not exist at a right angle

6)

The midpoint of a segment in the diagram

The mid point of this segment can be derived by drawing diagonals across the 4 vertex LMNK.

For more information on this visit

https://brainly.com/question/17581080

Solve for x: 3/2 + 1/2x =2x​

Answers

[tex] \huge{ \boxed{ \bf{ \red{Problem:-}}}}[/tex]

Solve for x: 3/2 + 1/2x =2x

[tex] \huge{ \boxed{ \bf{ \red{Solution:-}}}}[/tex]

[tex] \bold{ \frac{3}{2} + {\frac{1}{2} x = 2x}}[/tex]

[tex] \bold{ ⇒\frac{3}{2} + {\frac{x}{2} = 2x}} [/tex]

[tex] \bold{⇒\frac{3 + x}{2} = 2x}[/tex]

[tex] \bold{⇒3 + x = 2(2x)}[/tex]

[tex] \bold{⇒3 + x = 4x}[/tex]

[tex] \bold{⇒3 = 4x - x}[/tex]

[tex] \bold{⇒ \frac{3}{3} = x}[/tex]

[tex] \bold{ \therefore{x = 1}}[/tex]

Hope it's helpful

Please help ASAP 17x - 4(4x - 3)

Answers

Step-by-step explanation:

17x-4(4x-4)

17x-16x+8

X+8

Answer:

x + 12

Step-by-step explanation:

17x - 4(4x - 3)

17x - 16x + 12

x + 12

The base of a rectangle is 3cm more than the height. The perimeter is 26cm. Determine the length of the base in centimeters.

Answers

Answer:

Step-by-step explanation:

b = h+3

Perimeter = 2b+ 2h

= 2(h+3) +2h

= 4h+ 6

4h+6 = 26

h = 5 cm

b = h+3 = 8 cm

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