The square root of 89 is an irrational number with never-ending digits
Solution :
Real numbers :
Real numbers are the sets of rational numbers and irrational numbers taken together
Irrational numbers:
Irrational numbers are the set of all numbers that are not rational; they cannot be written as either a terminating or repeating decimal; they cannot be expressed as a fraction of two integers.
or,
The set of irrational numbers is the set of numbers that are not rational, are non repeating, and are non terminating. Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.
1)65.555
Statement:65.555....is rational and a repeating decimal
2)-57
Statement: It is a negative integer.
3)[tex]\sqrt{89}[/tex]
Statement:
Due to the nature of its non-repeating and non-terminating decimal expansion, the square root of 89 cannot be written in the form of p/q, hence, it is an irrational number.
The value of the square root of 89 in decimal form is 9.433981.. so on, The square root of a number can have two values, a positive and a negative value. So, √89=+9.433981. Hence, The square root of 89 is an irrational number with never-ending digits.
Step 1: Divide the number 89 by 9, (because 92 =81 is a perfect square number just less than 89).
Step 2: The divisor and the quotient need to be the same numbers; in this case, it is 9. Multiply the quotient and the divisor and subtract the result from 89.
Step 3: For the next divisor, add the previous divisor with the quotient. (9 + 9 = 18); place it as the new divisor with a blank on its right.
Step 4: Put a decimal after the quotient '9' and bring down two zeros to place it after 8 so that it becomes 800. (184 × 4 = 736). Subtract 736 from 800.(800 − 736 = 64)
Step 5: Bring down another pair of zeros and place it after 64, so that it becomes 6400. Take the new quotient 4 and add it to 184. (184 + 4 = 188)
Step 6: Repeating the above steps, we need to fill the blank with a number such that when the new divisor is multiplied by the new quotient, the product is less than or equal to the dividend 6400. (1883 × 3 = 5649)
Step 7: Write the same number after 4 in the quotient. Subtract 5649 from 6400. (6400 − 5649 = 751)
Step 8: Repeat the process until we get the remainder equal to zero. The square root of 89 up to two places is obtained as 9.43 by the long division method.
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whats 890 divided by 50 whats the anwser
Answer:
17.8
Step-by-step explanation:
what is the domain and range of the following? (1,5) (-2,4) (-3,0) (-6,2)
Domain: {1, -2, -3, -6}
Range: {5, 4, 0, 2}
im not 100% sure but Im pretty sure it’s that
Helppppppppppppppppppppppp
Answer:
-1 5/6
Step-by-step explanation:
-2/3 + (-1 1/6)
Look carefully at he number line. Each space between whole numbers is divided into 6. That means that from one mark on the line to the very next one, the distance is 1/6.
Start at -2/3. Since we are dealing with 1/6's, convert -2/3 to 6ths.
-2/3 * 2/2 = -4/6
-2/3 is the same as -4/6, so start at -4/6. Locate 0 on the number line, and move 4 marks to the left. That is -4/6 which is the same as -2/3 and is your starting point.
Now you need to add -1 1/6. Adding a negative number is the same as subtracting a positive number. Adding -1 1/6 is the same as subtracting 1 1/6. That means you need to go left 1 1/6. Since each unit is divided into 6 equal parts, 1 1/6 is 7 marks on the number line. Starting at -4/6, count 7 marks to the left. Where you end up is the answer which is -1 5/6.
Answer: -2/3 + (-1 1/6) = -1 5/6
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Answer:
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Step-by-step explanation:
sin70° sin130° sin170°=1/8
Which equation has 1 solution.
A. 10x + 2x = (10 + 2)x - 2
B. 10x + 2 = (10 + 2)x - 2x
C. 10x + 2x = (10 + 2)x
D. 10x + 2 = (10 + 2)x
Answer:
We conclude that 10x + 2 = (10 + 2)x has only 1 solution.
Hence, option (D) is correct.
Step-by-step explanation:
A.
10x + 2x = (10 + 2)x - 2
Checking the equation in Part A
10x + 2x = (10 + 2)x - 2
10x + 2x = 10x+2x-2
10x + 2x - 10x - 2x = -2
0 = -2
The sides are not equal.
Hence, NO SOLUTION!
B.
10x + 2 = (10 + 2)x - 2x
Checking the equation in Part B
10x + 2 = 10x+2x - 2x
10x + 2 - 10x - 2x + 2x = 0
2 = 0
The sides are not equal.
Hence, NO SOLUTION!
C.
10x + 2x = (10 + 2)x
Checking the equation in Part C
10x + 2x = 10x+2x
10x + 2x - 10x - 2x = 0
0 = 0
Both sides are equal.
It is true for all x.
D.
10x + 2 = (10 + 2)x
Checking the equation in Part D
10x + 2 = 10x+2x
10x - 10x - 2x = -2
-2x = -2
Divide both sides by -2
x = 1
Hence, 10x + 2 = (10 + 2)x has only 1 solution.
Therefore, we conclude that 10x + 2 = (10 + 2)x has only 1 solution.
Hence, option (D) is correct.
Which expressions are equivalent to 3.64? Check all that apply. 1 36.4 + 10 36.4 x 10 0 0.0364 x 100 [(3 x 1) + (6 x 0.1) + (4 x 0.01)] x 100 O (3 x 1) + (6 * 0.1) + (4 0.01)
Answer:
0.0364 × 100
and
[(3×1)+(6×0.1)+(4×0.01)
10x – 2 – 6x = 3x – 2 + x
A. one solution
B. no solutions
C. infinitely many solutions
Answer:
C
Step-by-step explanation:
4x-2=4x-2
when u simplify the equations you get 4x-2=4x-2 therefore they are the same line which results in infinitely many solutions.
(pls mark brainliest)
Answer:
there is one solution
Step-by-step explanation:
Khbsbdbd AHAHAHAHA s
What is the slope of the line passing through the points (-3, 4) and (2,
-1)?
I will give brainilist to correct answer
Velma needs to crate 59 watermelons. If she can fit 7 watermelons in each crate, how many crates does she need?
Answer:
The answer would be nine
Explanation:
59 divided by 7 is 8 with 3 remaning but all must be included so you have anothr crate for the remaining the and sice 8+1=9. Velma needs 9 crates. Hope this Helps!!
how do you solve graphs and make an equation from a line on a graph?
Always start on the y-axis.
rise/run
First things first, you have to know your positives, negatives, zeros, and undefined.
To make an equation from the graph you have to know your formula.
y=mx+b
You do the rise first. The rise on the graph is 3. The run is 2. So, that'll make it 3/2. m=slope.
b=y-axis. b=1.
y=3/2x+1 (Example from the image)
The sum of the squares of two different numbers is less than or equal to 49. Twice one of the numbers squared is less than the other number. Which system of inequalities represents these criteria?
Possible answers:
x^2 + y^2 ≤ 49 and 2x^2 < y
x^2 + y^2 ≥ 49 and 2x^2 < y
x^2 + y^2 ≤ 49 and x^2 < 2y
x^2 + y^2 ≥ 49 and x^2 < 2y
This system of inequalities represents is x² + y² ≤ 49 and 2x² < y
What is inequality?
Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
Let the numbers x and y,
According to 1st condition,
The sum of the squares of two different numbers is less than or equal to 49 :
x² + y² ≤ 49
According to 2nd condition,
Twice one of the numbers squared is less than the other number :
2x² < y
Hence, this system of inequalities represents is x² + y² ≤ 49 and 2x² < y
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Find the area of a sector of a circle whose diameter is 21 cm and whose central angle is 10 degrees
Answer:
Area 38.484510 dm^2 (square decimeters)
Step-by-step explanation:
what does n+6 mean as a phrase
This is an expression
This means that there is no answer, n+6 is as is until given more information
420 presents in 15 hours at this rate how many presents does Santa deliver in 5 hours
Answer:31500
Step-by-step explanation:hope it helps!
Answer:
140
Step-by-step explanation:
420/15=28
28x5=140
A skateboarder travels at a sleady rate of 15 feet per second. After 4 minutes, how far will the skateboarder have traveled?
Answer:
: 3,600 feet
Step-by-step explanation:
15 x 60 x 4
Answer: 60 feet
Step-by-step explanation:
you would do 15x4 and you would get 60
An ice cream cone is shown. What is the volume of the ice cream cone? Use 3.14 for x
A. 310.86cm3
B. 34.54cm3
C. 103.62cm3
D. 414.48cm3
C 85% sure... ✌
Sorry If it’s wrong, I tried my best
Answer:
C. 103.62cm^2
Step-by-step explanation:
Volume of a cone:
πr^2h/3
= 3.14(3)^2(11)/3
= 28.26(11)/3
= 310.86/3
= 103.62
please help me .....
Which number is not an appropriate result?
A - a shopping receipt that totals $4.90
B - a soccer game where the average score is 4.7
C- a stack of 15.6 watermelons
D- a classroom with 24 students
Answer:
C - a stack of 15.6 watermelons
Step-by-step explanation:
Lets first go through each option:
"A shopping receipt that totals $4.90":
This is an appropriate answer since many items sold are not priced at exact dollars (where there are no cents), so having $4.90 as the total cost after shopping is appropriate.
"A soccer game where the average score is 4.7":
This is also an appropriate result since it is the average score of a soccer game, so finding a decimal is appropriate.
"A stack of 15.6 watermelons":
This is not an appropriate result since it would be strange to say a 'stack' or group of something that is not a whole number.
"A classroom with 24 students":
This is an appropriate result since the number of students is a whole number not a decimal.
Hope this helps :)
What is the quotient of StartStartFraction 90 (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) ) OverOver 2 (cosine (StartFraction pi over 12 EndFraction) + I sine (StartFraction pi Over 12 EndFraction) ) EndEndFraction ?
45 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) )
88 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) )
45 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) )
88 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) )
I think it's c/the third option
Answer:
The answer is C
Step-by-step explanation:
Answer:C
Step-by-step explanation:
got it right on edge2022
The owner of a used car lot wants to buy many cars at an auction as he can while not spending more than $20000. If he expects the average price to be $4000, how many would he expect to be able to buy?
Answer:
5
Step-by-step explanation:
Given that:
Total maximum amount that the owner wishes to spend = $20000
Average price of each car = $4000
To find:
How many cars that the owner can expect to buy?
Solution:
Total number of cars that the owner can expect to buy can be found by dividing the total money available with the owner with the average price of each car.
i.e.
[tex]\text{Number of cars expected to be bought} = \dfrac{\text{Total money available with the owner}}{\text{Average Price of car}}[/tex]
We have the following values as given in the question statement:
Total money available = $20000
Average price of car = $4000
Therefore, the answer is:
[tex]\text{Number of cars expected to be bought} = \dfrac{20000}{4000} = \bold{5}[/tex]
The owner can expect to buy 5 number of cars.
12. Given m || n, find the value of x
Is this the right answer?
CAN SOMEONE PLEAEE HELP ????!!!!!! I will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
I don't know if I'm correct but the answer is 6.
Step-by-step explanation:
I'm not 100% correct, but you set the other two angles to add to each other then set it equal to angle QRS and i got x=6.
Your equation should be like this: 3x + 17 + 2x +21 = 10x -1
than you solve form there
I;m not sure that this is the correct answer and maybe i'm wrong, but hope this helps
Answer:
59°
Step-by-step explanation:
According to the given description, [tex] \angle QRS[/tex] is the exterior angle of [tex] \triangle PQR[/tex]
So, by exterior angle property of a triangle, we have:
[tex] m\angle QRS=m\angle RPQ+m\angle PQR\\\\
(10x - 1)\degree = (3x +17)\degree+(2x +12)\degree\\\\
(10x - 1)\degree = (3x +17+2x +12)\degree\\\\
(10x - 1)\degree = (5x +29)\degree\\\\
(10x - 1)= (5x +29)\\\\
10x - 5x = 29 + 1\\\\
5x = 30\\\\
x = \frac{30}{5}\\\\
x = 6\\\\
\because m\angle QRS = (10x - 1)\degree \\\\
\therefore m\angle QRS = (10\times 6- 1)\degree \\\\
\therefore m\angle QRS = (60- 1)\degree \\\\
\huge\orange{\boxed{\therefore m\angle QRS = 59\degree }}\\
[/tex]
A fruit stall sells three kinds of fruits - apples, oranges and pears. At the end of the day, they amount of money earned from selling apples and oranges is $372, while the amount of money earned from selling apples and pears is $480. The ratio of the money earned from oranges and pears is 1 : 4. How much money did the fruit stall earn from the apples?
The fruit stall earns 96 dollars from the apples.
How to find how much money the fruit stall earn from the apples?The fruit stall sells three kinds of fruits which are apples, oranges and pears.
Therefore,
The amount of money earned from selling apples and oranges is $372.
The amount of money earned from selling apples and pears is $480.
The ratio of the money earned from oranges and pears is 1 : 4
Therefore,
let
x = amount earned on apples
y = amount earned on oranges
z = amount earned on pears
Therefore,
x + y = 372
x + z = 480
The ratio of the money earned from oranges and pears is 1 : 4. Hence,
x : z
x : 4x
where
z = 4x
Therefore,
x + 4x = 480
5x = 480
x = 480 / 5
x = 96 dollars
Therefore, the fruit stall earns 96 dollars from the apples.
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The location of Sam's house, the library, and the gas station are shown on the map below.
Based on the map, what is the shortest distance, to the nearest tenth, from the Library to the Gas Station if each unit represents one mile?
It is found that location of Sam's house is at a distance of approximately 8.062 meters far from the gas station.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
Sam's house S(x, y) = (2, -4)
Library L(x, y) = (-5 , 2)
Gas station G(x, y) = (3, 4)
The distance d, in miles, is determined by the line segment distance formula:
D = √[(x-p)² + (y-q)²]
It is used in an operation known as dot product.
Then the distance between Sam's house and the Gas station is:
D = √[(2 - 3)² + (-4 -4)²]
D = 8.062 meters
Hence, The location of Sam's house, is at a distance of approximately 8.062 meters far from the gas station.
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The Complete question is described below:
The location of Sam's house, the library, and the gas station is shown on the map below. What is the distance from Sam's house to gas station? The coordinate of each location are presented below: (Distances are given in miles)
P L E A S E H E L P A S A P !!!
Answer:
The third one for the first picture and the second one for the second picture
Step-by-step explanation:
Please help answer!!! I am so lost
3. use the diagram shown to calculate m
Answer: 131
Step-by-step explanation:
The angle A inside the triangle is
180-162 = 18 degrees
The measure of angle N inside the triangle is
180 - 149 = 31 degrees
Now, since we have the inside angles we can find ang P
Inside Ang A + Inside Ang N + Ang P = 180
18 + 31 + P = 180
49 + P = 180
P = 180 - 49
P = 131 degrees
A teacher spends $25.00 at a store for a pens and y notebooks. The store charges $2.50 for every pen and $5.00 for each notebook.
Which graph represents the situation
Answer:ok so yes the answer is the one you selected because 25.00 devided by 2.50 is 10 and 5 devided by 25 is 5 or you could go like 2.50 times 10 is 25 and 5 times 5 would be 25
Step-by-step explanation:10 pens to 5 notebooks
Find the sum.
3(2 – 0.9h) +(-1.3h – 4) =
Answer:
i believe your answer is... -1.3h - 0.7
Step-by-step explanation:
Answer:
1.3h and mievdhevev
Step-by-step explanation:
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