whats an irrational number between 9.7 and 9.9

Answers

Answer 1

9.5 < x < 9.7
square it
9.52<x2<9.72
90.25<x2<94.09
So pick any number between 90.25 and 94.09 to be x2, as long as it's not a perfect square. So if you pick 91, then
x2=91
x=91−−√→ irrational
approximation is 9.54

Related Questions

please help me with this math question i'm not good at math and i don't understand this well

Answers

9/2x+4 = 6/x+4

9x+36 = 12x+24

3x=12

x = 4

4+4 = 8

ED = 8

Hello,

Using Thalès,

AE/ED=AB/DC

(2x+4)/(x+4)=9/6
(2x+4)/(x+4)=3/2
(2x+4)*2=(x+4)*3
4x+8=3x+12
x=4
==>x+4=ED=4+4=8

Factor the expression y4 − 81 using the polynomial identity (x2 − y2) = (x − y)(x + y).

Answers

The factored form is (y^2+9)(y^2-9).

Plug the two terms into the equation by finding the root of both.
√y^4= y^2
√81= 9

From here, you plug the terms into the form (x+y)(x-y)
(y^2+9)(y^2-9)

Hope this helps!

-4(5a - 6b + 10c - 3)

Answers

The answer is:
-20a+24b-40c+12

Given that the legs of a right triangle measure a and b and the hypotenuse of the triangle measures c, what does the Pythagorean Theorem state about the sides of this triangle? a2 + c2 = b2 a2 − b2 = c2 2a + 2b = 2c a2 + b2 = c2

Answers

The Pythagorean Theorem is a^2+b^2 = c^2 which can be written as [tex]a^2 + b^2 = c^2[/tex]

The longest side (c) is always on its own side. This says "the squares of 'a' and 'b' add up to the square of 'c' "

The Pythagorean Theorem establishes the relationship between the sides of a right triangle, highlighting that the sum of the squares of the two shorter sides equals the square of the hypotenuse.

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In mathematical terms, it is represented as a² + b² = c². This relationship applies to all right triangles and is fundamental in geometry.

There are students in three rows taking a test. there are 22 students in the first row, 19 students in the second row, and a certain number of students in the third row. if there are a total of 62 students, how many students are in the third row?

Answers

22+19+x = 62
combine like terms

41+x = 62
subtract 41 from both sides

x= 21
there are 21 students in the third row

To determine how many students are in the third row, subtract the sum of the students in the first two rows (22 + 19 = 41) from the total number of students (62). The result is that there are 21 students in the third row.

The student is asking a question related to basic arithmetic, specifically subtraction and problem-solving skills. To find out how many students are in the third row, we subtract the number of students in the first two rows from the total number of students. There are 22 students in the first row and 19 in the second row. The total number of students is 62.

So, we calculate the number in the third row as follows:

Calculate the combined number of students in the first two rows: 22 (first row) + 19 (second row) = 41 students.Subtract the number of students in the first two rows from the total number of students: 62 (total) - 41 (combined first and second rows) = 21 students.

Therefore, there are 21 students in the third row.

Luis needs to run no less than 120 miles in order to go with the cross country team to a summer training camp. He has thirty days to pre-train for the camp. Which inequality can be used to find how many miles Luis must run each day to meet this goal?

Answers

30 days to run at least 120 miles

 120/30 = 4

let x = number of days

he needs to run at least 4 miles per day

 so x≥4  ( do any of your choices look like this?)

Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?

Answers

dress pants for $ 40, a shirt for $ 30, a tie for $ 20
he uses the dress pants coupon....which is the second coupon which gives him y percent off the dress pants

so ur answer is : (1 - y) * 40

Answer:

the answer is (1-y)

Step-by-step explanation:

i took the calculator and did the math and got that

solve the equation x-4-3x=-2x-3-1

Answers

Answer:

  the equation is true for any value of x

Step-by-step explanation:

The equation simplifies to ...

  -2x -4 = -2x -4

This is true for any value of x. There are an infinite number of solutions.

The temperature outside is dropping at 3°/h. Given that the temperature at noon was 0°, what would the temperature at 1 PM at 2 PM at 3 PM and 6 PM what was the temperature T hours afternoon

Answers

Change in temp = -3/h
From noon to 1pm, 1 hour has passed, so temp = 0 degrees - 3 degrees = -3 degrees

From 1pm to 2pm, 1 hour has passed, so temp = -3 degrees - 3 degrees = -6 degrees

From 2pm to 3pm, 1 hour has passed, so temp = -6 degrees - 3 degrees = -9 degrees

From 3pm to 6pm, 3 hours have passed, so temp
= -9 degrees - (3 × 3 degrees)
= -9 degrees - 9 degrees = -18 degrees

How many pounds are 40kg

Answers

There are 88.1849 lb in 40 kg
Roughly 88. Each kilogram equals 2.20462 pounds.

given an exponential function for compounding interest, A(x)=P(1.02)^x, what is the rate of change?

Answers

[tex]\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\\ \end{cases}\\\\ -------------------------------\\\\ \stackrel{A}{A(x)}=\stackrel{I}{P}(1.02)^{\stackrel{t}{x}}\implies A=P(1+\stackrel{r}{0.02})^x\implies \cfrac{r}{100}=0.02 \\\\\\ r=100\cdot 0.02\implies r=\stackrel{\%}{2}[/tex]

Answer:Its 2% guys

Step-by-step explanation:

How can you use a number line to add and subtract like fractions?

Answers

Find the smallest multiple (LCM) of both numbers.
Rewrite the fractions as equivalent fractions with the LCM as the denominator.

Under which condition does a country with a small GDP have a large per capita income?

Answers

if the country has a small population

Answer:

Small population

Step-by-step explanation:

GDP is defined as the Gross domestic product of a country. It is the amount of money made in the country at a specific period of time. It measures the economic state and progress of the country.

Per capital income is the average income citizens earn in a country.

However a country with a small GDP will have a large per capital income only if the population size of the country is small. This small population size will make it possible for less competition and more money going round for the citizens.

Marcel is designing a circular necklace that will consist of 4 sections, each with a different color of plastic. Determine how he needs to cut the plastic by finding the measures of the angles.

Answers

Answer:

measure of angle 1 is 83 and measure of angle 2 is 97

Step-by-step explanation:

edg

Final answer:

Marcel needs to cut the plastic to create four equal angles of 90 degrees each for his circular necklace since a circle has a total of 360 degrees.

Explanation:

The student is being asked to calculate the measures of the angles in a circular necklace that is divided into four equal sections. Since a circle has 360 degrees, and the necklace is divided into four sections, each section must be an equal fraction of the total degrees in a circle. To find the measure of each angle, we divide the total degrees in a circle (360) by the number of sections (4).

Step-by-step calculation:

Identify the total degrees in a circle: 360 degrees. Divide this number by the number of sections: 360 ÷ 4. Calculate the result: each section has an angle of 90 degrees.

Therefore, Marcel needs to cut each angle at 90 degrees to create four sections of the circular necklace.

What is n. S=180n-360

Answers

You would move 360 by addition and it would be 360=180n then divided 180 and you get that n=2

A psychology class consists of 14 males and 36 females. if the professor selects names from the class list using random sampling, what is the probability that the first student selected will be a female? if a random sample of n = 3 students is selected and the first two are both females, what is the probability that the third student selected will be a male?

Answers

The probability of selecting a female student for the first picking is [tex] \frac{36}{50} = \frac{18}{25} [/tex]
The number of students left to select from after the first two students selected is 50 - 2 = 48 students, which consist of 34 females (two have been selected) and 14 males (none has been selected so far)
The probability that the third pick is a male is [tex] \frac{14}{48}= \frac{7}{24} [/tex]

Final answer:

The probability of selecting a female first from a class with 14 males and 36 females is 0.72. If the first two students selected are females, the probability that the third student will be a male is approximately 0.292.

Explanation:

The subject of this question is Mathematics, specifically dealing with the concept of probability in a high school level. We are to determine two probabilities: the chance of selecting a female student first from a class, and the likelihood of selecting a male student third given that the first two selected were females.

To find the probability of selecting a female first, we need to consider the total number of students and the number of females. The class has 14 males and 36 females, so the total number of students is-

14 + 36 = 50

The probability of selecting a female first is therefore the number of females divided by the total number of students, which is-

36/50 or 0.72

For the second probability, since the first two students selected are females, we now have a reduced pool of 34 females and 14 males, with a new total of 48. The probability of the third student being a male is then 14/48, which simplifies to 0.292 approximately.

Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons 1. ABCD is a square 1. given 2. ∠DAB, ∠ABC, ∠BCD, and ∠CDA are right angles 2. definition of a square 3. ∠DAB ≅ ∠ABC ≅ ∠BCD ≅ ∠CDA 3. right angles are congruent 4. AB ≅ BC ≅ CD ≅ DA 4. ? 5. △BAD ≅ △ABC 5. SAS 6. BD ≅ AC 6. CPCTC What is the missing reason in the proof?

Answers

All Sides are congruent is the correct Answer 
PS.Just took the Edgeunity Test 

The missing reason for statement 4 in the given proof is: all sides are congruent.

What are Congruent Sides?

Congruent sides are corresponding sides of corresponding figures that are congruent to each other. This means, they have the same measure of length.

In the proof given, statement 4 states that: AB ≅ BC ≅ CD ≅ DA. This implies equal lengths of sides AB, BC, CD, and DA.

Therefore, the missing reason in the proof is: all sides are congruent.

Learn more about congruent sides on:

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A farmer owns a total of 8 acres of land. The land is separated into 313 equally sized sections. How many acres are in each section?

Answers

8 divided by 313 is about 0.026 acres per section.

One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a car is V dollars today, which expression represents the car’s value 1 year later?

Answers

value in 1 year = V*(0.92)
V*(0.92) is the answer
hope it helps

What algebraic expression models the word phrase three fewer than the sum of c and d?

Answers

" the sum " means add

(c + d) - 3 <== ur expression
Sum means to add so, 
(c + d) - 3
The parenthesis are just there to keep c and d together. 

Which lines are parallel in the square pyramid?

Select each correct answer.

​​​ BC←→ ​ and DE←→

CD←→ and BE←→

​ AD←→ ​ and ​​ ​ BC←→ ​

AB←→ and AD←→

Answers

A square pyramid is a pyramid with a square base. In this problem, this base is formed by the points B, C, D and E as illustrated in the Figure above. So, the correct answers are:


First. (BC←→ ​ and DE←→)

This is indicated in Figure 1. As you can see, the red lines are parallel, that is:

[tex]\overline{BC} \ is \ parallel \ to \ \overline{DE}[/tex]


Recall that two lines are parallel if they are always the same distant apart in which case they are equidistant, that is, they never meet.


Second. (CD←→ and BE←→)

This is indicated in Figure 2. As you can see, the green lines are parallel, that is:

[tex]\overline{CD} \ is \ parallel \ to \ \overline{BE}[/tex]

Answer:  The correct options are

(A) BC←→ ​and DE←→

(B) CD←→ and BE←→

Step-by-step explanation:  We are given to select each pair of sides that are parallel to each other in the square pyramid.

We know that

the base of a square pyramid is a square. And the opposite sides of a square are parallel to each other.

So, in the given square pyramid ABCDE, the base is a square BCDE.

Therefore, the pair of parallel sides are

BC and DE ;  CD and BE.

This implies that option (A) and (B) are correct.

Thus, the correct options are (A) and (B).

Does prime factorization rename a composite number as the product of prime factors

Answers

Yes. Prime factorization breaks a composite number into the product of all of the prime factors which 'compose' the number.

Answer:

Yes

Step-by-step explanation:

Prime factorization does rename a composite number as the product of prime factors.

PLEASE HELP! GEOMETRY

Answers

The angles that occupy the same relative position at each intersection where a straight line crosses two others is called corresponding angles. If the two lines are parallel, the corresponding angles are equal.

From the prove above, it was given that line KL is parallel to line MN.
Also, angles KRQ and MSQ occupy the same relative position at the intersections R and S.

Therefore, the missing justification for the second line of the proof is "corresponding angles theorem".

Do you know the answer to this question

Answers

The correct answer is:  [C]:  "  f(x) = log₃ (x - 3) " .
_______________________________________________________

If p(x) = x2 – 1 and ,q(x)=5(x-1) which expression is equivalent to (p – q)(x)?

Answers

(p-q)(x)=p(x)-q(x)=x²-1-5(x-1)=x²-5-5x+5=x²-5x

Answer:

C ) ( x² - 1 ) - 5 ( x - 1 )

Step-by-step explanation:


Which of the following is a true statement a.5/6>10/12
B.6/9=1./3
C.13/15>4/5
D.1/4>1/3

Answers

The true statements among the given statement by converting them as like fractions is equal to option c. 13/15 > 4/5.

To compare fractions, it's helpful to have them with the same denominator.

Let's convert each fraction to a common denominator, and then we can compare them:

a. 5/6 > 10/12

Common denominator for 6 and 12 is 12:

5/6 = 10/12

So, a is not true.

b. 6/9 = 1/3

Both fractions are simplified and convert to have same denominator (9),

6/9 and 3/9

6/9 > 3/9

so b is not true.

c. 13/15 > 4/5

Both fractions are simplified and convert to have the same denominator (15),

4/5 = 12/15

13/15 > 12/15

and we can see that 13/15 is greater than 4/5, so c is true.

d. 1/4 > 1/3

To compare these fractions, we need a common denominator, which is 12:

1/4 = 3/12

1/3 = 4/12

Now we can see that 1/3 is greater than 1/4, so d is not true.

Therefore, the true statements is option c. 13/15 > 4/5.

Learn more about statements here

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The rest of the numbers are cut offf

225
250
270

Answers

there are 8 sides so the angles are 360/8 = 45

the answer is 45 degrees

X and Y are two mutually exclusive events. P(X)= 0.55 and P(X or Y)=0.7. Work out P(not Y) (2 marks)

Answers


P(x) = 0.55

P(x ∪ y) = 0.70  →→ P(x) +P(y) = 0.70 →→ 0.55 + P(y) =0.70→→P(y) = 0.15
If P(NOT y) = 1- 0.15 = 0.85

To find the probability of not Y occurring when events X and Y are mutually exclusive, we subtract P(X) from P(X or Y) to get P(Y) and then subtract P(Y) from 1 to get P(not Y), resulting in a probability of 0.85.

The question asks us to find the probability of not event Y occurring, given that X and Y are mutually exclusive events, and we're provided with P(X) and P(X or Y). Since X and Y are mutually exclusive, the sum rule of probability states that P(X or Y) = P(X) + P(Y). Using the given values, we can express P(Y) as P(X or Y) - P(X), which is 0.7 - 0.55 = 0.15. Since the probability of an event and its complement sum to 1, P(not Y) is 1 - P(Y), which gives us 1 - 0.15 = 0.85.

Therefore, the probability of not Y is 0.85.

which equation could used to solve : 3 less than 5 time a number is 22?

Answers

3-5x = 22 

hope this helps . give brainliest 
thanks 
The equation would be 5x-3=22. The 22 is on the other side because that is what equals the other side of the equation. It is saying 3 less than 5 TIMES so it is 5x-3.

A line blank has endpoints

Answers

While a line *segment* (note the emphasis on "segment") has two endpoints, a line itself does not have any endpoints. 

A geometric line extends forever in both directions infinitely. So the answer here is "never"

In other words, the full phrase would be "a line never has endpoints".

Answer: A line never has endpoints .

Step-by-step explanation:

In geometry , a line is a straight one-dimensional undefined figure which  extends infinitely in both directions.

Thus , a line contains no endpoints because it is extending infinitely in both the directions.

If a line has one end point then we call it a ray and if it has both endpoints then we call it line-segment.

Therefore , the complete sentence will be : A line never has endpoints

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