A right triangle's hypotenuse is 1 cm longer than twice the length of the shortest side.
The third side is 1 cm less than twice the shortest side.
Find the length (in cm) of the hypotenuse.

You can use the hypotenuse formula, e.g., from the Pythagorean theorem calculator, to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w², and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √ (l² + w²).

The numerical value of the expression ( jk−1 )÷j when j=−4 and k=−0.9 is -0.65.

Given the expression in the question;

To determine the numerical value of the expression, plug in the values of j and k and then simplify.

( jk − 1 ) ÷ j

Plug in j = -4 and k = -0.9

( jk − 1 ) ÷ j

( (-4 × -0.9) − 1 ) ÷ (-4)

Simplify

( 3.6 − 1 ) ÷ (-4)

( 2.6 ) ÷ (-4)

-0.65

Therefore, the value of the expression is -0.65.

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The asked percentages are given as

1. 90 is 100% of 90.

2. 9 is 10% of 90.

3. 27 is 30% of 90.

A percentage is a particular number or fraction in every hundred. The denominator of the fraction is 100, and it is represented by the symbol "%."

The purpose of percentage calculations is to determine the percentage of a whole in terms of 100. A percentage can be determined using one of two methods:

It should be noted that when the denominator is not a power of 100, the second technique of percentage computation is not used.

Given, a comb has 90 teeth.

1. Find out what percentage of 90 is 90 now.

Let the percentage be x,

(x/100) × 90 = 90

x = (90 × 100)/90

x = 100 %

2. Now, find what percent of 90 is 9.

Let the percentage be x,

(x/100) × 90 = 9

x= (9 × 100)/ 90

x = 10%

3. Now, find what percent of 90 is 27.

Let the percentage be x,

(x/100) × 90 = 27

x= (27 × 100)/ 90

x = 30%

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The amount of Interest Tristan pays is $955.2

Given:

Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years.

we are asked to determine the interest Tristan pays for it:

we know:

P = $4000

r = 7.4%

t = 3 years.

Evaluate :

I = 4000(1+7.4%)³ - 4000

I = 4000(1+0.074)³ - 4000

I = 4000(1.074)³ - 4000

I = 4000(1.2388) - 4000

I = 4955.2 - 4000

I = 955.2

Hence we get the required interest as $955.2

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x is the independent variable and H(x) is the dependent variable

A dependent variable is a variable whose value depends upon independent variables.

An independent variable is a variable that does not depend on any other variable for its value.

For example, in an expression, y = 3x + 2, x is an independent and y is a dependent variable because y depends on x for its value

Given: H(x) = 3+0.5x

Therefore, x is the independent variable and H(x) is the dependent variable because it is a function of x

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Answer:

3/2x

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

mean is when you add all the numbers divide it by the amount of terms

So to find the sum of the terms we just multiply 5 by 4

20 is the sum and since the mean is 8 with 6 terms we multiply those also

8x6

48 and to find the number we subtract 48 by 20

48-20

28

Hopes this helps please mark brainliest

The number of races that were 10-kilometer long is 102.

An athlete ran a total of 1,500 kilometers in a race before retiring. The athlete completed 32 races that were at least 15 kilometers in length. The rest were 10-kilometer races. We need to find out the number of races that were 10-kilometer long.

Let the number of races that were 10-kilometers long be denoted by the variable "x". An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equal sign. We can write the equation as given below.

32×15 + 10x = 1,500

480 + 10x = 1,500

10x = 1,500 - 480

10x = 1,020

x = 1,020/10

x = 102

Hence, the number of races that were 10-kilometer long is 102.

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Using the concept of the sine function, the bracket made an angle of 51.37° with the wall.

The sine of an angle is represented by the trigonometric function sin x, where x is the angle under consideration. The ratio between a right-angled triangle's perpendicular and the hypotenuse is known as the sine function. In other words, the hypotenuse is the ratio of the side opposite to the angle being discussed, and its value changes as the angle do. The sine function is used in physics to depict sound and light waves.

Use the trigonometric function sinθ = perpendicular/ hypotenuse

From the given figure, in accordance with ∠x

Perpendicular = 2.5 ft

Hypotenuse = 3.2 ft

So, sinx = 2.5/ 3.2

sinx =  0.78125

x = sin⁻¹(0.78125)

x = 51.37°

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The values of x, y and z are 4, 1 and - 6 respectively.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

A system of equations is a set of one or more equations involving a number of variables. The solutions to systems of equations are the variable mappings such that all component equations are satisfied

We have the following equations -

8x + y + 4z = 9

4x - 3y + z = 7

8x - 4y + 5z = - 2

We have -

4x - 3y + z = 7

z = 7 - 4x + 3y

We can write -

8x + y + 4z = 9

as -

8x + y + 4(7 - 4x + 3y) = 9

8x + y + 28 - 16x + 12y = 9               ...Eq[1]

and we can write -

8x - 4y + 5z = - 2

8x - 4y + 5(7 - 4x + 3y) = -2

8x - 4y + 35 - 20x + 15y = - 2         ...Eq[2]

Plot the graph of equation [1] and [2]. We will will get -

x = 4

y = 1

Now -

z = 7 - 4x + 3y

z = 7 - 16 + 3

z = - 6

Therefore, the values of x, y and z are 4, 1 and - 6 respectively.

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In the function f(2)= -5, 2 is the preimage of the function and 5 is an image of the function.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

Suppose that f(a) = b

In that case, element "b" is the image of element "under the function," while element "a" is the preimage of element "under the function."

In the given function f(2)= -5

2 is the preimage of the function and 5 is an image of the function.

Hence, the 2 is the preimage of the function and 5 is an image of the function.

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Answer:

The value of x=35 and the co-ordinates at the top of the chair lift are (35,20).

What are co-ordinates?

Step-by-step explanation:

Given:

    20 = 1/2x + 5/2

20 * 2 = x + 5

     40 = x + 5

        x = 35

Therefore, the co-ordinates of the chair at the top of the chair lift are (35,20)

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Juan wants to buy a video game for $63  He saves  every Friday $12.

An equation to represent Juan’s total savings, , in dollars, after  Fridays y is  

Part A is

y =12x

Fridays will it take for Juan to save up enough money for the video game is .

Part B

y >  63

12 x > [tex]5\frac{1}{4}[/tex]

x  =  6

so

That means 6 fridays

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Answer:

x=-4

Step-by-step explanation:

-3x-18=-6

-3x=12

x=-4

Answer:  x=-4

Step-by-step explanation:

Start off with the equation: -3x-18=-6

Add 18 to both sides: -3x=12

Divide by -3: x=-4

Hope this helped!

Answer:

6X/X^2-2X+1

Step-by-step explanation:

x

2

−3x+2

9x

2

+18x

​

÷

2x−4

3x

2

+3x−6

​

Divide  

x

2

−3x+2

9x

2

+18x

​

 by  

2x−4

3x

2

+3x−6

​

 by multiplying  

x

2

−3x+2

9x

2

+18x

​

 by the reciprocal of  

2x−4

3x

2

+3x−6

​

.

(x

2

−3x+2)(3x

2

+3x−6)

(9x

2

+18x)(2x−4)

​

Factor the expressions that are not already factored.

3(x−2)(x+2)(x−1)

2

2×9x(x−2)(x+2)

​

Cancel out 3(x−2)(x+2) in both numerator and denominator.

(x−1)

2

2×3x

​

Expand the expression.

x

2

−2x+1

6x

​

Answer: $68.99

Step-by-step explanation:

12% of 61.60 is 7.39200, if you simplify the total, you would get 7.39. Then, you add the total with the sale price to get the original price. Which in this case is $68.99.

Answer:

Step-by-step explanation:

from the area we find the side by taking the square root, having found the side we multiply it by 4 and we have the perimeter, we can solve it with a simple expression that summarizes what I wrote

4√81 =

4 × 9 =

36 mm

Answer:

[tex]\frac{73}{8}[/tex]

If u mean that x^y+y^x then the above answer is correct. You can more simplify it in decimals if you want.

The unit price for a 7-meter roll of blue ribbon costs $12.04 is $1.72.

The unit price is simply used to calculate the price that's paid for each good.

In this case, the 7 -meter roll of blue ribbon costs $12.04. Therefore, to get the unit price goes thus:

= Total amount paid / Number of meters

= $12.04 / 7

= $1.72

The unit price is $1.72.

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Answer:

4x+3y=12

Step-by-step explanation:

y=mx+b

m=-4/3,b=4

y=mx+b

y=-4/3x+4

3(y=-4/3x+4)

3y=-4x+12

4x+3y=12

please rate it,thanks.

The total amount of sugar which contains in 4 grams of sugar = 304 grams.

Amount of sugar fast food smoothie has = 76 gram

amount of sugar a teaspoon of sugar contains = 4 gram

Thus the total amount of sugar which contains in 4 grams of sugar = 4 × 76

this implies  the total amount of sugar which contains in 4 grams of sugar  = 304 grams

In this question we used the unitary method where we multiplied a quantity with a known quantity to find the value of an unknown quantity.

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The solution of given inequality is x≤-2.

What is inequality?

Inequality (mathematics), a relation between two numbers or quantities indicating which of them is greater or smaller. An inequality is denoted by the symbol <, which is drawn pointed toward the smaller number.

The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.

p ≠ q means that p is not equal to q

p < q means that p is less than q

p > q means that p is greater than q

p ≤ q means that p is less than or equal to q

p ≥ q means that p is greater than or equal to q.

Given, inequality

8x - 5x ≤ -6

3x ≤ -6

x≤ -6/3

x≤ -2.

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the option a is the correct option.

The required probability that there are at least 1 blue candy and 1 green candy left in the jar when you have taken out all the red candies is 7/12 .

Probability is defined as the ratio of total numbers of outcomes of an event to the favouable outcomes of an event.

We have , Red candies in the jar = 10

green canides in the jar = 30

blue candies in the jar = 20

total number of candies in jar = 60 i.e total number of outcomes = 60

The Probability that the last of sixty candies drawn is one of thirty green candies = 30/60 = 1/2

Ignoring green canides, probability that the last of the thirty other candies drawn is one of twenty blue = 20/30 = 2/3

The Probability that the last of sixty candies drawn is one of twenty blue candies = 20/60 = 1/3

The Probability that the last of sixty candies drawn is not one of twenty blue candies = 1 - 1/3

= 2/3

Probability that last draw would be blue and the last not blue would be green = 20/60 × 30/40

= 1/4 ----(1)

Probability that last draw would be green and the last not green would be blue = 30/60× 20/30

= 1/3 ------(2)

Now , Required probability that last draw would be either blue or green canidy = sum of above probabilty from equation (1)and (2)

= 1/4 + 1/3 = 7/12

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Answer:

150/512 < 64/125

Step-by-step explanation:

5/8 * 6/8 * 5/8 = 150/512 = 0.295

4/5 *4/5 * 4/5 = 64/125 = 0.512

Therefore: 0.295 < 0.512 or 150/512 < 64/125

The value of x is 18 which is option B.

Given:

Two pyramids are similar.

if two figures are similar then the ratio of their sides are equal.

So, 24/8 =  x/6

24*6 = 8*x

144 = 8x

divide by 8 on both sides

8x/8 = 144/8

x = 144/8

x = 18.

Therefore the value of x is 18 which is option B.

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Answer: you are dummy

Step-by-step explanation:dummy

The correlation coefficient can be used to get a better understanding and to determine the extent of a strong relation between two variables.

In a statistical setting, two or more variables are said to be connected if their values fluctuate in such a way that as the value of one variable rise or falls, the value of the other variable does the same (although it may be in the opposite direction).

For instance, there is a relationship between the two variables "hours worked" and "revenue earned" if a rise in hours worked is correlated with an increase in income earned. When considering the two factors "price" and "purchasing power," the ability of a person to purchase items reduces as the price of those goods rises (assuming a constant income).

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The length of the x is 4.8 units

In the given figure

There is one circle and 2 chords

The chord of the circle is defined as the line segment joining any two points one the circumference of the circle

There are two chords in the figure, those are BD and AC

We know that

DE × EB = AE × EC

This is the rule of chords in the circle

The length of DE = 10 units

The length of EB = x units

The length of AE = 6 units

The length of EC = 8 units

Substitute the values in the equation

10 × x = 6 × 8

10x = 48

x = 48/10

x = 4.8 units

Hence, the length of the x is 4.8 units

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Answer:

  38 units

Step-by-step explanation:

You want the perimeter of pentagon ABCDE with vertices at A(4, -2), B(4, 10), C(7, 10), D(15, 4), E(7, -2).

The perimeter of a plane figure is the sum of the lengths of its sides.

By counting grid squares, or subtracting coordinates, you can find the lengths of the vertical and horizontal segments easily:

  AB = 12, BC = 3, EA = 3

The lengths of the diagonal segments can be found using the distance formula or your knowledge of Pythagorean triples. Counting grid squares (or subtracting coordinates), you see that each diagonal side has a vertical distance of 6 and a horizontal distance of 8. These correspond to twice the lengths of the sides in a 3-4-5 triangle, so you know the diagonal length is twice the hypotenuse: 2·5 = 10.

The Pythagorean theorem, or the distance formula, will tell you the same thing:

  c² = a² +b² . . . . . . Pythagorean theorem for sides a, b, hypotenuse c

  c = √(a² +b²)

  diagonal length = √(6² +8²) = √100 = 10

Then the remaining two sides are ...

  CD = 10, DE = 10

The perimeter is ...

  perimeter = AB +BC +CD +DE +EA

  = 12 +3 +10 +10 +3 = 38 . . . units

The perimeter of pentagon ABCDE is 38 units.