PT and Its Converse: Estimating Square Roots
1. To Estimate a square root, you must first list all of your perfect squares here up to
100:
2. To Estimate a cube root, you must first list all of your perfect cubes here up to
1000:
Next, find the perfect square or perfect cube that your number lies between.
Someone please help, I will give brainliest!
Answer:
1) 10^2
2) 100^2
Step-by-step explanation:
I believe this is the right answer...
let me know of it helps.
:)
The estimate of the square roots and cube roots of numbers can be found by an iterative process;
The Pythagoras's Theorem, PT, and its Converse: Estimating Square Roots
The steps to estimating square roots are;1. The perfect squares that are close to the number for which the square root is sought are listed
Example, to find the square root of 5, we have;
2², 5, 6, 7, 8, 3²
Therefore, the perfect square close to 5 are those of 2 and 3
The number 5 is then divided by the root of the number with closest perfect square, which is √4 = 2
Therefore, we have;
[tex]\dfrac{5}{2} = 2.5[/tex]The average of the result of the division and the divisor is then found as follows;
[tex]\dfrac{2 + 2.5}{2} = 2.25[/tex]The required number is then divided again by the average, 2.25, again, to get;
[tex]\dfrac{5}{2.25} = 2.\overline 2[/tex]The average of the new quotient and the divisor is found again as follows;
[tex]\dfrac{2.25 + 2.\overline 2}{2} = 2.36\overline 1[/tex]Repeat dividing the required number by the average again as follows;
[tex]\dfrac{5}{2.36 \overline 1} = 2.23602484472[/tex]The average is found again as 2.23606797792
Dividing 5 gives 2.23606797708
Therefore;
2.236067978 is a good estimate of √5 approximation2. To estimate a cube root of a number, the closest, numbers with a perfect cube are listed
To estimate the cube root of 9, the closest perfect cubes are 8 and 27
We have;
∛8 < ∛9 < ∛27
2 < ∛9 < 3
Given that we have;
The difference between 9 and 8 = 1
The difference between 9 and 27 = 18
Therefore, the cube root of 9, ∛9 ≈ 2
For more accurate value, we have
[tex]{} \hspace {8pt}2.08\\3| \overline {9.000 000}\\ {} \hspace {-3pt} -8\\ {} \hspace {8pt} 1 \ 000 \ 0[/tex]
Where, the 2 in the quotient is given from the closest perfect cube to 9;
2³ = 8 < 9
The 8 is given from 2³ = 8
The 1 is given from 9 - 8 = 1
The 000, is obtained by bringing down 000, from the dividend
Next; Multiply 300 by 2² to get 1,200
1,200 is larger than 1,000, which is the remainder, therefore, a decimal point and 0 is added to the quotient, and a zero is added to the remainder to give 10,000, from which we have;
[tex]\dfrac{10,000}{300 \times 2^2} = 8\frac{1}{3}[/tex]
The quotient, 8 is added to the quotient line after the zero, to get;
∛9 ≈ 2.08
Learn more here:
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I need a little help with my math, so here's the chart and questions.
Instant Messenger Abbreviations
L8R : 48/100
Lol : 26/100
Brb : 19/100
CUL8R : 7/100
a. What fraction of these students uses LOL or CUL8R when using Instant Messenger?
b. What fraction of these students uses L8R or BRB when using Instant Messenger?
c. What fraction more of these students write L8R than CUL8R when using Instant Messenger?
Step-by-step explanation:
26+7=3548+19=6748+7=55Solving Equations and Systems of Equations
Without solving the systems, explain why the following systems must have the same solution.
System (i): 4x - 5y = 13
3x+6y=11
System (ii): 8x – 10y = 26
X – 11y = 2
Answer:
Because they are equal
Step-by-step explanation:
So I was doing a hooda math escape game, and forgot how to do these. Can you help me?
to find the radius you divide the circumference by 2pi
area is pi times radius to the 2nd power
Joan is 4 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Joan’s height in centimeters?
Answer:
Thus the answer is 127
Step-by-step explanation:
4 feet = 48 inches. 2.54 = 1 inch.
It is found that Joan's height is 127 centimetres.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Joan is 4 feet 2 inches tall and we need to change to centimeters .
First we change her height to inches;
1 Foot = 12 Inches
Therefore, 4 Feet = 4 x 12 = 48 inches
The Total height in inches =48 inches + 2 Inches = 50 inches
Now, we have gotten her height in inches, change to centimetres.
We have that;
1 inch =2.54 centimeters
50inches = 50 x 2.54 cm
=127 centmeters.
Hence, Joan's height is 127 centimetres.
Learn more about multiplications;
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#SPJ2
The table below shows the approximate populations of the three countries.
How many people live in China, France, and Australia in total? Write your answer in scientific notation.
Answer:
A lot
Step-by-step explanation:
AND I MEAN A LOT
Answer:
In total, about 1,416,300,000 people.
Step-by-step explanation:
Pls help asap ty
Sodexo stock has been dropping lately. Every day, the stock drops 3 1/4 dollars.
6 1/2 days have passed since it has been dropping.
State whether 3 1/4 is positive or negative.
Write a mathematical expression to represent the situation.
Then find the product.
Answer:
it is negative
Step-by-step explanation:
i don't know the mathematical expression but i know it neg
Alright I need some advice (THIS IS ONLY FOR MY FANS!!) should I try doing jokes on yt or somthing? And if you guys can I need some more points so I can get some more jokes in.
Answer:
do jokes
Step-by-step explanation:
For each table, answer: What is the constant of proportionality?
Answer:
It would be a=1 b=7, a=1 b=120, a=1 b=25, a=1 b=2.5
Step-by-step explanation:
Here you can see that 2 = 14 now if u think about it u can just divide 14 and 2 which you will get 7 which means a=1 and b=7 now for the other questions its all the same just divide
4.How does the function y = -2x + 6 differ from the linear parent function?
(parent is just y=x)
WILL GIVE BRAINLIEST ANSWER
Answer:
0.07 or 7cents
Step-by-step explanation:
155 divided by 3.10 is 0.02 so two cents a piece, 85 divided by 7.65 is 0.09 so they are 7 cents more a piece
Which points are plotted correctly on their accompanying number line? Check all that apply. Point: Negative StartFraction 7 Over 8 EndFractionA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 1 mark to the right of negative 1. Point: Negative one-halfA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is half-way between 0 and 1. Point : Negative one-fourthA number line going from negative 2 to positive 2 in increments of 1. There are 8 equal spaces between each number. A point is 2 spaces to the right of negative 1.
Answer:
A, B, D.
Step-by-step explanation:
Proof in picture
Determine the ending position by adding and subtracting the indicated steps from each starting position. List your answers in order.
Monica sells ice cream bars at the beach. In addition to a fixed salary, she earns a commission for each ice cream bar she sells. The table shows Monica's total earnings, y, from selling x bars of ice cream:
Ice Cream Sales and Earnings
Number of Bars Sold (x) Total Earnings (dollars) (y)
0 35
1 38
2 41
3 44
Which equation best shows the relationship between x and y?
y = x + 35
y = 3x + 38
y = 3x + 35
y = x + 38
Four people can paint a house in six hours. How many hours would it take three people to paint the same house, assuming everyone works at the same rate?
Answer:
8 hrs
Step-by-step explanation:
divide 4 by 3 then times it by six
Someone help me with this ASAP
Answer:
4/5 is NOT equivalent
Step-by-step explanation:
2/3 = 4/6 (it has been multiplied by 2)
2/3 = 8/12 (it has been multiplied by 4)
Mercury: 3.3022*10^23 kg earth: 5.9722*10^24 kg
venus: 4.8685*10^24 kg mars: 6.4185*10^23 kg
What is the average mass of all four inner planets. Write your answer in scientific notation. I need this question by tuesday 10:30
Answer:
The average mass of the inner planets is = 2.9531925 x 1024 kg.
8. The figure shows a triangle ABC where
ZABC = 35. H lies on BC such that the length
of HC is twice that of BH. Find ZACB.
Answer:
theres no choices ?
Step-by-step explanation:
Answer:
{{BC,35H}}
Step-by-step explanation:
Use the ratio table to find the unit rate with the specified units.
answer: the first one
Brian has already prepared 1 kilogram of dough and will continue preparing 1 kilogram of dough every hour. Write an equation that shows the relationship between the hours worked x and the dough prepared y.
Write your answer as an equation with y first, followed by an equals sign.
Please help me
Answer:
y = x + 1
Step-by-step explanation:
Answer:
y = x + 1
Step-by-step explanation:
HELP
Using what you noticed, find the measures of the four angles at point B in this second diagram. Lines AC and DF are parallel.
Answer:
35 degree
Step-by-step explanation: Because it has equal lines on the other side at the top right.
Answer:
Step-by-step explanation:
angle EBC and angle ABH are both 34 degrees. angle ABE and angle CBH are both 146 degrees.
You are canning 40 cups of applesauce. You have 20 glass jars, each of which will hold 134 cups of applesauce. Choose the correct explanation(s) that explain why you do not have enough jars.
Answer:
You DO have enough jars! I do not understand!
Step-by-step explanation:
You are only canning 40 cups. This will be filled in less than one jar!
Help me plsss I’m super stuckkk
Answer: 8 maybe?
Step-by-step explanation:
I need to solve for the variable and classify if these questions are one solution, no solution and infinite solution
Please i need to turn this in 35 mins
Answer:
x+3=x+3 in infinitely many
2x=3x is no solution
6z=(3+3)z in infinetely many
x+8=x is no solution
x+3=5 is no solution
Step-by-step explanation:
Answer:
x+3=x+3 in infinitely many
2x=3x is no solution
6z=(3+3)z in infinitely many
x+8=x is no solution
x+3=5 is no solution
CREDIT TO THE PERSON ABOVE/BELOW ME GIVE THEM BRAINLIEST!
At the fabric store, ribbon is sold by the foot. If Brooklin wants to make 84 bows, how many feet of ribbon must she buy?
I NEED TO FINISH THIS IN A FEW SECONDS, HELPP
Answer:
need more info
how many feet is the bow
$15 for 5 pairs of socks; $25 for 10 pairs of socks Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
Answer:
These ratios are not equivalent.
Step-by-step explanation:
If you get 5 pairs of socks for $15, that means that each pair of socks are $3. If you buy 10 pairs of socks for $25, you are spending $12.50 for each pair. If you double the 5 pairs of socks for 10 pairs of socks, you will be spending $30 because you have to add another $15.
So between 10 pairs of socks for $30 (5 pairs of socks for $15) and 10 pairs of socks for $25, you will be spending more on the 5 pairs of socks.
You are spending more money on the 5 pairs of socks for $15.
2x-1=3/4x+9
Help Me Brainilist to whoever explains the best
Answer:
x=8
Step-by-step explanation:
normally it would be 2x-1=[tex]\frac{3}{4}[/tex]x+9 so now we have to combine the x into one fraction which will be 2x-1=[tex]\frac{3x}{4}[/tex]+9 now for my way i will be taking the -1 to the other side and when that happens its going to become positive so now the answer will be 2x=[tex]\frac{3x}{4}[/tex]+10 ok so now we have to have the x's to the same side so i have to drag the fraction to the other side and making it positive which will conclude into 1.25x=10 and now 10 divided by 1.25 is 8 so the answer is x=8 (sorry for the ok nows) hope this helped
Answer:
ty
Step-by-step explanation:
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how do I do this? please help. the second part of the question. i have figured out the first one.
Answer:
Put the wind gauge points two points away from the garden points. Basically for the (2,2) you would make it (4,4) or (3,3) if you wanted to. Or you could do any other side, that's just an easy example.
Answer:
Put the wind gauge points two points away from the garden points.
Step-by-step explanation:
Basically for the (2,2) you would make it (4,4). And then just do that for all the others.
Then you will get your answer.
Hope it helped!
Have a great rest of your day!
write your own problem that includes the number 1 million. Exchange your problem for that of a friend. Solve the problem you receive. Can someone PLEASE give me good ideas for this!? I am not good at thinking :( it can’t be too simple by the way
Answer:
I have 1 million dreams a year so on and so on
Step-by-step explanation:
Students in the school band are selling calendars. They earn $0.40 on each calendar they sell. Their goal is to earn more than $327. Write and solve an inequality to find the fewest number of calendars they can sell and still reach their goal.
Answer:
You have < and > so it equals carrot.
Step-by-step explanation:
Carrot are for the answer