Which of the following are irrational? Explain how you know?
a. √27
b. 5.0287
c. √49
d. _³√125
Answers
c. √49 and d. _³√125 are irrational numbers .
RATIONAL NUMBERS
A rational number is a number that can be written in the form p/q , where p and q are integers and q ≠ o.
IRRATIONAL NUMBER
An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.
a. √27 = 5.196152.
Do you think the decimal part stops after 5.196152? No, it is never-ending. Therefore, it is a non-terminating decimal with non-repeating numbers.
The number 5.1961524227... can't be written in p/q form. So √27 is an irrational number.
b . The number 5.1961524227... can't be written in p/q form. So it is an irrational number.
c. The number √49 can be written in p/q form as 7/1 . So √49 is an irrational number.
d. The number 3√125 can be written in p/q form as 5/1 . So it is an irrational number.
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Related Questions
Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
A)X = 0
B)X = 1
C)There are no solutions to the system.
D)There are infinite solutions to the system.
Answers
Using Cramer’s Rule, the value of x is 0
How to determine the value of x?We have:
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4
Represent as a matrix
[tex]\left[\begin{array}{cc}2/5&1/4\\2/3&5/12\end{array}\right] \left[\begin{array}{c}9/20&3/4\end{array}\right][/tex]
Start by calculating the determinant of the matrix
A = 2/4 * 5/12 - 2/3 * 1/4
Evaluate the product
A = 5/24 - 1/6
Evaluate the difference
A = (5 - 4)/24
|A| = 1/24
Next, replace the last column with the first
[tex]\left[\begin{array}{cc}9/20&1/4\\3/4&5/12\end{array}\right][/tex]
Calculate the determinant
|x| = 9/20 * 5/12 - 1/4 * 3/4
Evaluate the product
|x| = 3/16 - 3/16
Evaluate the difference
|x| = 0
The value of x is then calculated as:
x = |x|/|A|
So, we have:
x = 0/(1/24)
Evaluate
x = 0
Hence, the value of x is 0
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0 and no solutions are both wrong, but dont know the acrual answer lol
87+25
[tex]12 + 10 [/tex]
Answers
Answer:
Seriously?
U don't know the answer
Using the commutative property, fill in the information necessary to make this a true statement. Solve: 5 × 8 = ×
Answers
Answer: 8*5
Step-by-step explanation: Because the comutative property says you can like, switch up the orders of the numbers in a thing and it is still trye. So 5*8=8*5.
The expression using the commutative property is
5 x 8 = 8 x 5.
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The commutative property states that,
a x b = b x a
Now,
Using the commutative property,
5 x 8 is equal to 8 x 5.
Thus,
5 x 8 = 8 x 5
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If a= 35 then find b
Answers
9514 1404 393
Answer:
35
Step-by-step explanation:
All of the marked angles subtend the same arc, so all have the same measure.
a = b = c = d = 35
b = 35
__ x 5 > 5
3/3
2/3
5/3
Answers
3/3 is equal to 1 which would make them equal to each other.
2/3 is less than one which means it would make the number on the left less than 5, not greater than.
the answer is 5/3 because it is bigger than the other answer choices and will result in a greater number than that on the right.
3/3=1
1x5=5
22% of _ peaches is 11 peaches
Answers
The figure shown below is a trapezoid. What is the value of x?
Answers
Answer:
7
Step-by-step explanation:
the traezoid has congruent legs moving from the top to the bottom
and length is increasing by 2 each for each base, so the bottom base
is 14.
2x = 14
x = 7
I could really use some help with this
Answers
Answer:
see explanation
Step-by-step explanation:
f(x + 2) is a horizontal translation of f(x) 2 units to the left
f(x - 2) is a horizontal translation of f(x) 2 units to the right
Given
f(x) = x³ , then
f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left
f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right
Using The diagram, name two pairs of adjacent angles and two pairs of vertical angles.
Answers
Answer:
1. adjacent: ∠ACB and ∠BCD.
vertical: ∠ACB and ∠ECD
Step-by-step explanation:
Invent measurements that would show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
Answers
Answer:
The answer is that when you put the LMN. You can rotate it. Then we know it is similar.
Using the rotation method of the triangle LMN show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
What is the similarity law for triangles?It is necessary to demonstrate compliance with the law to establish that two triangles are identical in both shape and size. The angles that correspond to those sides have the same congruence and the same ratio of sides.
It is given that the two triangles are triangle XYZ and triangle NLM.
Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.
Thus, triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.
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cuál es el promedió de edad
Answers
Answer:
22 años
Step-by-step explanation:
a
Answer:
Step-by-step explanation: Es una estadística que resume la distribución de la edad de la población. Hoy día, la media de edad a nivel global es 30,4 años.
Triangle ABC is graphed on the coordinate plane, as shown below.
Triangle ABC is dilated by a scale factor of 2 with
a center of dilation at the origin to create triangle
A’B’C’. What are the coordinates of the vertices
of triangle A’B’C’?
Answers
Answer:
I believe the answer would be D.
Answer:
D. (4,4), (8,8), (-8,4)
Step-by-step explanation:
We have A (2,2), B(4,4) and C (-4,2)
Dilation by factor of 2: (x,y) => (2x,2y)
A (2,2) => A'(4,4)
B(4,4) => B'(8,4)
C (-4,2) => C'(-8,4)
A survey was conducted to determine people's chocolate preferences. The results are shown on the circle graph. If 500 people were surveyed, how many more people preferred dark chocolate over milk chocolate? A.115 B.125 C.135 D.150
Answers
Answer
B . 125
Step-by-step explanation:
20% of 500 is 100
45% of 500 is 225
Simply subtract 100 from 225, and its 125, so 125 people.
NO LINKS
Please help!!
Answers
Answer:
a
Step-by-step explanation:
the total cost is 2.50$/m
Scarlet went out to eat. Her food cost $25.50, and there was a 5% tax on the cost
of the meal. She planned to leave an 18% tip.
Answers
Step-by-step explanation:
cost =$25.50
=5%÷100=0.05
=25.50×0.05=1.275 +25.50=26.775=4.8195 +26.775
=31.5945
I need help plz 7th grade math
Answers
Answer:
-8, -11, -20. Anything negative will make it turn positive, so just do any negative number beyond -5.
Which equation finds the length of side c of this right triangle
Answers
Answer:
Find The Length Of The Side Of A Right Triangle : Example Question #1. Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
Use the Pythagorean Theorem to find c:
a² + b² = c²
√a² + b² = √c²
c = √a² +b²
A number line going from negative 60 to negative 50. An open circle is at negative 54. Everything to the right of the circle is shaded.
Which inequality has the solution set shown on the graph?
-54n < 1080
-54n > 1080
594 > -11n
594 < -11n
Answers
Answer
C
Step-by-step explanation:
Answer:
C - 594 > -11n
Step-by-step explanation:
Just got it right on edge! Have a good day! :))
Lee has three dollars. Chris has three dollars. Lee and Chris wants to but their mom a gift. The gift costs five dollars and fifty cents. A gift tags costs twenty-eight cents. Lee and Chris each want to pay and equal amount for the gift and tag. What do Lee and Chris each pay for the gift and tag?
(PLEASE HELPPP I'LL GIVE YOU A LOT OF POINTS!!!)
Answers
Answer:
well... at the end theyd both end up with a quarter, they both pay
Step-by-step explanation:
3.25
Answer: They each should pay $2.89
Step-by-step explanation: This is because if you add the price for the gift and the tag together you get $5.78 and then if you divide that by two then you get your answer.
In the year 2012, 12% of the residents of the US moved to a different residence. Suppose that several
census workers took random samples of n = 150 residents from the population and computed the
proportion p of residents in each sample who had moved in 2012
What would be the shape of the sampling distribution of p?
Answers
Answer:
Approximately normal
Step-by-step explanation:
Danny is painting a doghouse. To make it durable, he will paint all sides, including the bottom. The doghouse is shaped like a rectangular prism with a triangular prism on top, as shown. How many cans of paint does Danny need to cover the doghouse if each can covers 20 ft2?
Answers
Answer:
6 cans
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
gotta trust
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
8
х
Answers
Answer: x=10.25
Step-by-step explanation:
[tex]8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25[/tex]
Which of the following is the closest to the value of x
Answers
Find the perimeter of the following triangle.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.
1/7/18 yd
5/12 yd
1/2/9 yd
Answers
Answer:
If I did my math correctly, I'm pretty sure the answer is 3 1/36 yards.
Step-by-step explanation:
1. First, you have to turn them all into an improper fraction.
1 7/18 becomes 25/18
1 2/9 becomes 11/9
5/12 remains the same as it's already an improper fraction.
2. Find a common denominator, which is 36
25/18 becomes 50/36
11/9 becomes 44/36
5/12 becomes 15/36
3. Add them all together and you get 109/36
4. Turn it into a mixed number, and in this case, is 3 1/36
Solution is 3 1/36
Answer:
3 1/36
Step-by-step explanation:
a1=-3, r= -3, n = 10
Answers
Answer:
N =10
Step-by-step explanation:
R=-3 hhhhhhhgh
Brainliest for correct answer.
Answers
Answer:
First option
V = π [tex]r^{2}[/tex] h
Answer:
the first one
Step-by-step explanation:
Martha constructs the table below to show the relationship between her cell phone's age and the amount of time it takes to charge her phone battery. Which of the following describes the rate at which the time to charge the phone changes?
A. The time to charge the phone increases by 25 minutes with every 7.5-month increase in the phone's age.
B. The time to charge the phone increases by 15 minutes with every 7.5-month increase in the phone's age.
C. The time to charge the phone increases by 25 minutes with every 1-month increase in the phone's age.
D. The time to charge the phone increases by 15 minutes with every 2-month increase in the phone's age.
Answers
Answer:
D
Step-by-step explanation:
To find the rate of increase all you have to do is take one of the data sets to see that every two months its charge time increases by 15 minutes or 7.5 minutes every month.
5.81 is 10 times as much as
Answers
its 0.581 its pretty self explanatory so im not gonna explain
What is 48/25 simplified
Answers
Answer:
exact form - 48/25
decimal form - 1.92
mixed number - 1 23/25
Step-by-step explanation:
g(x)=x^2-5x
f(x)=2x+1
Find (g-f)(x)
Answers
Answer:
(g-f)(x) = x²-7x -1
Step-by-step explanation:
hello :
g(x)=x²-5x f(x)=2x+1
(g-f)(x) =g(x) - f(x) = x²-5x- ( 2x+1 ) = x²-5x - 2x-1
(g-f)(x) = x²-7x -1