Which expression represents the length of the hypotenuse C of the triangle below

Answer: x= 23

Step-by-step explanation:

Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.

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Calculating the LCM of all these, one gets  2^2. 3^2 . 5^4 .7^5. Using the factor counting formula, the answer is 3.3.5.6 = {270}

Step-by-step explanation:            

Note that for all n, 149^n-2^n  is divisible by 149-2=147  by difference of nth powers. That is 3.7^2, so now we can clearly see that the smallest n to make the expression divisible by 3^3  is just 3^2 Similarly, we can reason that the smallest n to make the expression divisible by 7^7 is just 7^5.
       

Finally, for 5^5, take (mod {5}) and ( mod {25} )of each quantity (They happen to both be -1 and 2 respectively, so you only need to compute once). One knows from Fermat's theorem that the maximum possible minimum n for divisibility by 5 is 4, and other values are factors of 4. Testing all of them(just 1,2,4 using mods-not too bad), 4 is indeed the smallest value to make the expression divisible by 5, and this clearly is NOT divisible by 25. Therefore, the smallest (n) to make this expression divisible by 5^5 is $2^2 .5^4.    

Using the factor counting formula, 2^2. 3^2 . 5^4 .7^5 = 3.3.5.6 = {270}

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Answer: We can use two variables, x and y, to represent the number of dimes and nickels Adrian has, respectively.

We know that Adrian has twice as many nickels as dimes, so we can write the equation:

y = 2x

We also know that the total value of the coins is $1, and since nickels and dimes have different values, we can write the equation:

0.05y + 0.1x = 1

So the system of equations is:

y = 2x

0.05y + 0.1x = 1

These equations can be solved simultaneously to find the number of nickels and dimes that Adrian has.

Step-by-step explanation:

Answer: X+ywwiww asksn q9ru3

Step-by-step explanation:

88-2

Answer:

a. 110

b

Step-by-step explanation:

We require median, interquartile range, outliers, minimum and maximum value.

What are statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

From the upper box plot representing the top 12 men's long jumpers at the U.S. Qualifying meet, we can gather the following pieces of information:

The median (middle value) of the data is around 7.6 meters, as indicated by the line in the center of the box.

The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.4 meters, as indicated by the height of the box.

There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.

The minimum and maximum values for the data are around 7.3 meters and 8.0 meters, respectively, as indicated by the lower and upper ends of the whiskers.

From the lower box plot representing the distances achieved in the men's long jump at the 2012 Olympic games, we can gather the following pieces of information:

The median (middle value) of the data is around 8.0 meters, as indicated by the line in the center of the box.

The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.5 meters, as indicated by the height of the box.

There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.

The minimum and maximum values for the data are around 7.5 meters and 8.4 meters, respectively, as indicated by the lower and upper ends of the whiskers.

The main difference between the two box plots is the median value, which is 0.4 meters apart and the IQR for the Olympic games is slightly bigger than the Qualifying meet.

Hence, we require median, interquartile range, outliers, and minimum and maximum values.

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We require median, interquartile range, outliers, and minimum and maximum values.

What are statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

From the upper box plot representing the top 12 men's long jumpers at the U.S. Qualifying meet, we can gather the following pieces of information:

The median (middle value) of the data is around 7.6 meters, as indicated by the line in the center of the box.

The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.4 meters, as indicated by the height of the box.

There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.

The minimum and maximum values for the data are around 7.3 meters and 8.0 meters, respectively, as indicated by the lower and upper ends of the whiskers.

From the lower box plot representing the distances achieved in the men's long jump at the 2012 Olympic games, we can gather the following pieces of information:

The median (middle value) of the data is around 8.0 meters, as indicated by the line in the center of the box.

The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.5 meters, as indicated by the height of the box.

There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.

The minimum and maximum values for the data are around 7.5 meters and 8.4 meters, respectively, as indicated by the lower and upper ends of the whiskers.

The main difference between the two box plots is the median value, which is 0.4 meters apart and the IQR for the Olympic games is slightly bigger than the Qualifying meet.

Hence, we require median, interquartile range, outliers, and minimum and maximum values.

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Answer:

c

Step-by-step explanation:

given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition y = 6.5 when x = 1.3

6.5 = 1.3k ( divide both sides by 1.3 )

5 = k

y = 5x ← equation of variation

Answer:

13.6 in

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

5320 = 2/3 x r^3 x 22/7

r^3 = 5320 x 3/2 x 7/22

find the cube root of both sides

r = 13.6

Answer:

28.875

Step-by-step explanation:

If you have a calculator on hand, then this kind of problem will be easy. If you multiply 10.5 by 2.75, then you would get 28.875.

Hope that this helps!

Answer:

B

Step-by-step explanation:

12 more tells you that this adds 12 dollars and 6 times tells you that it is 6x so 12+6x=252

Answer:

x=176.78

y=262.28

z=176.77

Answer:

we note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52x51x50=132,600 ways.

Step-by-step explanation:

Answer:

4; 3 of spades, 3 of clubs, 3 of diamonds, and 3 of hearts

Step-by-step explanation:

There are total 30 positive 3-digit palindromes are multiples of 3.

The numbers are as follows,

111, 141, 171, 222, 252, 282, 303, 333, 363, 393, 414, 444, 474, 525, 555, 585, 606, 636, 666, 696, 717, 747, 777, 828, 858, 888, 909, 939, 969, 999.

Palindrome numbers

A palindromic number is a number that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis.

A palindrome number is a number that is same after reverse.

For example - 121, 34543, 343, 131, 48984 are the palindrome numbers.

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The length of the guy wire is 48.87 m.

To find the length of the guy wire, you can use the formula for the length of a side of a right triangle (the Pythagorean theorem): [tex]c = sqrt(a^2 + b^2)[/tex]. In this case, c is the length of the guy wire, a is the distance from the base of the tower to the point where the guy wire is attached to the ground (48 m), and b is the distance from the point where the guy wire is attached to the ground to the top of the antenna.

To find b, you can use the tangent function: [tex]tan(14°) = b / 48.[/tex]

Solving for b gives b = 6.78 m

Then, length of wire can be calculated as

[tex]c = sqrt(48^2 + 6.78^2)[/tex]

[tex]c = 48.87 m (approx)[/tex]

Rounding it to the nearest hundredth of a meter, the length of the guy wire is 48.87 m.

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Answer:

151/6

Step-by-step explanation:

When the four -  digit numeral is divisible by nine is given by 3AA1 the digit A represents 7

A number itself is divisible by 9 if its digit's sum is also divisible by 9.

In mathematics, multiples are the results of multiplying an integer by a given number. number divisible by 9 is multiple of 9

using the above property we have that

3 + A + A + 1 = 9, OR 18, OR 27

4 +2A = 9, OR 18, OR 27

assuming 18

2A = 18 - 4

2A = 14

A = 7

hence the number is 3771

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Answer: 49Watt

Step-by-step explanation:

The formula for power is:

Power = Work/Time

where,

Work = 245 Joules

Time = 5 seconds

Power = Work / Time

= 245/5

= 49Watt

Therefore, the power required to lift the rock is 49W.

Answer:

7

Step-by-step explanation:

m = the unknown value

4m = four times that unknown value

4m = 4/3

m = (4/3)*(1/4)

m = 4/12

m = 1/3

Therefore, we multiply 4 with 1/3 to end up with 4/3.

Answer:

B. 11/16

Step-by-step explanation:

tossing a coin 4 times, with 2 possible outcomes each time: 2 x 2 x 2 x 2 = 16 total possible outcomes. All but 5 have at least 2 tails.

Answer:

Calculate the number of whole years it takes for the population to decrease from 2180 to less than 1000

Step-by-step explanation:

The measure of the angle ∠PQS will be 53°. Then the correct option is C.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.

If angle ∠PQR measures 75°. And angle ∠PQS measures 22°.

Angle ∠SQR and angle ∠PQS are the adjacent angles. Then we have

∠PQS + ∠SQR = ∠PQR

∠PQS + 22° = 75°

∠PQS = 53°

The measure of the angle ∠PQS will be 53°. Then the correct option is C.

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Complete question is attached below.

The value of all four numbers will be 91, 98, 105, 112 respectively.

Let the first multiple be 7x

As the multiple of any number can be determined by simply multiplying the given number by the natural number or the counting numbers.

So, the value of the second multiple of 7 will be 7(x+1)

The value of third multiple of 7 will be = 7(x+2)

The value of fourth multiple of 7 will be = 7(x+3)

As all the multiple are consecutive so we have taken the multiplying factor as x, (x+1), (x+2) and (x+3)

From the data given in the question:

Sum = 7x+7x+7+7x+14+7x+21 = 406

=>28x+42=406

=>28x=364

=>x=(364/28)=13

So, the value of first multiple = 7x = (7*13) =91

So, the value of the second multiple of 7 will be 7(13+1)=98

The value of third multiple of 7 will be = 7(x+2)=7(13+2)=105

The value of fourth multiple of 7 will be = 7(x+3)=7(13+3)=112

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Answer:

$30.66

Step-by-step explanation:

Answer: The measure of a central angle is twice as big as the measure of an inscribed angle IF they intercept the same arc on a circle

Step-by-step explanation: See photo. A central angle’s vertex is at the center of the circle. The measure of a central angle is equal to the measure of the included arc. An inscribed angle’s vertex lies on the circle. The measure of an inscribed angle is equal to half the measure of the included arc. Therefore the measure of the central angle is double the measure of the inscribed angle that intercept the same arc on a circle

The measure of a central angle is twice the measure of an inscribed angle, they intercept the same arc on a circle.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

A central angle’s vertex is at the center of the circle. The measure of a central angle is equal to the measure of the included arc.

An inscribed angle’s vertex lies on the circle. The measure of an inscribed angle is equal to half the measure of the included arc.

Therefore, the measure of the central angle is double the measure of the inscribed angle that intercept the same arc on a circle.

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[tex]2 \times 2 \times 4 \sqrt{5} [/tex]

[tex]16 \sqrt{5} [/tex]

final answer is this

plz mark as brainliest

Answer:

..........

Step-by-step explanation: