Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle shown below.
60
25

Answer:

5

Step-by-step explanation:

5x + 3 = 28

5x=28 - 3

5x=25

x=25 / 5

x = 5

Answer:

\(\huge\boxed{\sf x = 5}\)

Step-by-step explanation:

5x + 3 = 28

Let's solve the equation to find out which value makes the equation true.

5x = 28 - 3

5x = 25

x = 25/5

So, x = 5 makes the equation true.

\(\rule[225]{225}{2}\)

Step-by-step explanation:

12x-5=91°

12x=91+5

x =96

12

x=8°

hope it helps.

Answer:

\(length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}\)

\(l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}\)

clearly,

      \(l_{2} \ is \ a \ negative\ number\)

So we consider

\(l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83\)

Therefore height = 22.8inches

Step-by-step explanation:

First, find the vector.

= (4,2) - (-3,5)

= (4-(-3),2-5)

= (7,-3)

And then, find the distance.

= √(7² + (-3)²)

= √(49 + 9)

= √58 ✓

As per the error function, \(\int e^{-5t^2} dt\) is a erf(bx) | = 0

To illustrate this concept, let us consider the integral ∫ e^(-5t²) dt with limits of integration from 0 to x. We can rewrite this integral in terms of the error function by making the substitution u = √5t, which gives us du/dt = √5 and dt = du/√5. Thus, the integral becomes ∫ (e^-u²) (du/√5), with limits of integration from 0 to √(5x²).

Next, we can express the integrand as e^(-u²) = (2/√π) ∫ e^(-v²) dv, which follows from the standard result that ∫ e^(-x²) dx = √π/2. Substituting this expression into our integral, we obtain:

∫ (e^-u²) (du/√5) = (2/√(5π)) ∫ ∫ e^(-v²) du dv,

with limits of integration from 0 to √5x and 0 to u, respectively. Interchanging the order of integration, we get:

∫ (e^-u²) (du/√5) = (2/√(5π)) ∫ ∫ e^(-v²) dv du

= (2/√(5π)) ∫ e^(-v²) (u=0 to u=√5x) dv

= (2/√π) ∫ e^(-5x²) dx.

Therefore, we have shown that the integral ∫ e^(-5t²) dt with limits of integration from 0 to x can be expressed as:

| (2/√π) ∫ e^(-5x²) dx = a erf(bx) |,

where a = √(2/π) and b = 1/√5. Here, erf(bx) denotes the error function evaluated at the argument bx.

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The expressions In(√2+2) and - In(1-1/√2) are not equivalent.

To determine whether the two expressions are equivalent, we need to evaluate each expression and compare the results.

Expression 1: In(√2+2)

The square root of 2 (√2) is an irrational number approximately equal to 1.414.

Adding 2 to √2 gives us approximately 1.414 + 2 = 3.414.

Taking the natural logarithm (In) of 3.414 will give us the value of the expression.

Expression 2: - In(1-1/√2)

To evaluate - In(1-1/√2), we need to simplify it further.

Let's start by simplifying 1-1/√2:

1 - 1/√2 = (√2/√2) - (1/√2) = (√2 - 1)/√2

Taking the natural logarithm (In) of (√2 - 1)/√2 will give us the value of the expression.

To determine if the two expressions are equivalent, we would need to evaluate the numerical values of In(√2+2) and - In(1-1/√2). However, without the specific values of √2, we cannot compare the results directly.

Therefore, we cannot determine the equivalence of the two expressions without knowing the specific value of √2.

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The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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Answer:

-12/5

Step-by-step explanation:

slope = change in y / change in x

change in y = 12 (from top to bottom) = 6 - (-6)

change in x = -5 (from top to bottom) = -2 -3

slope = 12/-5 = -12/5

Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Answer:

  AD/DC = AB/CB

Step-by-step explanation:

The effect of an angle bisector is to make the sides of the triangle on one side of the bisector proportional to the corresponding sides of the triangle on the other side of the bisector. Here, that proportion can be written ...

  \(\dfrac{AD}{DC}=\dfrac{AB}{CB}\)

Answer:

There is no numbers in your questions

Step-by-step explanation:

Put complete question next time in order for me to help

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

The slope of the line that contains the points (-2,-20) and (3,30) is 10

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope of the line that contains the points (-2,-20) and (3,30)

Slope= 30-(-20)/3-(-2)

=30+20/3+2

=50/5

=10

Hence, the slope of the line that contains the points (-2,-20) and (3,30) is 10

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Answer:height = 5 inches  and the base = 10 inches.

Step-by-step explanation:

Answer:

4y+8x

Step-by-step explanation:

well, because that was the only one that did not have a line on desmos.

Answer:

edcafgb

Step-by-step explanation:

-2 1/2 = -5/2 < -2 < -1.75 < -1 < 1.75 < 9/4

*-2 1/2 and -5/2 are the same.

Answer:

The third one

Step-by-step explanation:

The value of x in the right angle placed is equal to 16

A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life. It can be seen in the corners of a room, the edges of boxes, the screen of a mobile phone, and so on. The sides of a square and a rectangle always form a right angle with each other. In radians, it is represented as π/2. Let us discuss more about a right angle in this article.

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

In the given question, we can set an equation and find the value of x

90 = 26 + 4x

Lets solve for x

4x = 90 -26

4x = 64

x = 16

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Answer:|Ay| = - 10

y = 10/19

x = 2 - 10/57

Step-by-step explanation:

Answer:

No, 0.16 is not a whole number.

Step-by-step explanation:

Whole numbers are defined as a number that can be written without a fractional component, examples are numbers such as 4,16,-129912 and 333

The solution is:

No, 0.16 is not a whole number, but, 0.16 is a rational number.

Here, we have,

Whole numbers are defined as a number that can be written without a fractional component, examples are numbers such as 4,16,-129912 and 333

we know,

Rational number is a number such that can be expressed as the quotient or fraction of two integers

we have,

An integer is a number that can be written without a fractional component

so, we get,

0. 16 can be written as

16 / 100

16 and 100 are both integers but 0.16 is not an integer but a rational number

16 / 100 = 0.16. This means that fraction of two integers that does does not gives an integer is a rational number

Hence, 0.16 is a rational number, not a whole number.

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Answer:

Step-by-step explanation:

2x² + 5x - 12 = 0

Correct choice is the second one or B

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

Step-by-step explanation:

1 ) 2 : 6

    Divide and multiply by HCF of numerator and denominator .

2/2 : 6/2

= 1  :  3

2 ) 10 : 15

  = 10/5  :  15/5

  = 2  :  3

and so on and in 3 terms also same method

Answer:

Step-by-step explanation:

i think this is the answer

576.628

Answer:

\(\frac{72776}{125}\)

Step-by-step explanation:

500+76+6+1/5+1/125

500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125

62500+9500+750+25+1/125

\(\frac{72776}{125}\)

or 582.208

or

\(582 \frac{26}{125}\)

Answer:

\(3 \div \frac{1}{8} = 3 \times \frac{8}{1} = 3 \times 8 = 24\)

Answer:

Please give brainliest

Step-by-step explanation:

c