Find the area of each

Answer:

UV=5, VW=5\(\sqrt{3}\), and m∠U=60

Step-by-step explanation:

sin 30=UV/10=>0.5=UV/10=>UV=5

VW=√(10²-5²)=√75=5√3

m∠U=180-90-30=60

Main answer:Long multiplication is a method of multiplying two difficult-to-multiply numbers.

supporting answer:

what is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

body of the answer:

let us understand long multiplication by taking an example

     6.Add the two partial products

final answer: by following above steps we can perform long multiplication

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Long multiplication is a method of multiplying two difficult-to-multiply numbers.

What is multiple long?

Finding the product is not always this simple. In such cases, the long method of multiplication is used.

Let us understand long multiplication by taking an example

1. Write the two numbers one beneath the other in the order of their digits. On top, write the larger number, and on the left, a multiplication sign.

2. Multiply the top number's one digit by the bottom number's one digit.

3. Put a 0 below the one's digit,

4. Multiply the top number's ones digit by the bottom number's tens digit.

5. Multiply the top number's tens digit by the bottom number's tens digit.

6. Add the two partial products

By following the above steps we can perform long multiplication

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A line chart is a type of graph used to show the relationship between two variables.

It is used for plotting data points that are connected by a straight line. The two variables can be either continuous or categorical. The line chart is useful for visualizing the relationship between the two variables and how they change over time. Line charts can be used to display data over a period of time, such as stock prices, or to compare different categories of data.

A pyramid chart is a type of graph used to compare different groups of data. It is usually used to show the relative sizes of different categories within a data set. The pyramid chart is generally preferred over the column chart because it is easier to compare the relative sizes of the different categories.

Pie charts are a type of graph used to show the relative size of different categories in a data set. They are useful for visualizing the proportions of the different categories. Pie charts can generally be used instead of bar charts, but they are not as useful for comparing the relative sizes of different categories or for displaying data over a period of time.

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In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Since S is the midpoint of line segment RT, it simply means that line segment RT is divided into two (2) sections RS and RT and they are equal in length. By applying the midpoint rule, we have:

RT = RS + ST

60 = 2x - 1 + 4x + 7

60 = 6x - 6

6x = 60 + 6

6x = 66

x = 66/6

x = 11.

By applying the midpoint rule, we have:

PR = PQ + QR

10x - 11 = 2x - 3 + 5x + 7

10x - 11 = 7x + 4

10x - 7x = 11 + 4

3x = 15

x = 15/3

x = 5.

For the measure of segment PR, we have:

PR = 10x - 11

PR = 10(5) - 11

PR = 50 - 11

PR = 39 units.

By applying the midpoint rule, we have:

CE = DE + D

CE = 2DE

28 = 2DE

DE = 28/2

DE = 14 units.

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Answer: This means that the amount of whatever you have is going up.

Step-by-step explanation:

Increases means going up

Decrease means going down

Answer:

8t-1=97(being vertically opposiyte angles)

8t=97-1

t=96/8

t=12

Step-by-step explanation:

Therefore, the matching is as follows: Option 1: Not given and Option 2: Not linear and Option 3: Not quadratic and Option -1: Not exponential.

Given the function 10.17[3]+[1+31(-0.1)][2.99] and we are required to find its value.

The options provided are 1, 3, 2, -1.

To find the value of the function, we can substitute the values and simplify the expression as follows:

10.17[3] + [1+ 31(-0.1)][2.99] = 30.51 + (1 + (-3.1))(2.99) = 30.51 + (-9.5) = 21.01

Therefore, the value of the given function is 21.01.

Now, to match the given functions to the options provided:

Option 1: The given function is a constant function. It has the same output for every input. It can be represented in the form f(x) = k. The value of k is not given here. Therefore, we cannot compare this with the given function.

Option 2: The given function is a linear function. It can be represented in the form f(x) = mx + c, where m and c are constants. This function has a constant rate of change. The given function is not a linear function.

Option 3: The given function is a quadratic function. It can be represented in the form f(x) = ax² + bx + c, where a, b, and c are constants. This function has a parabolic shape.

The given function is not a quadratic function.

Option -1: The given function is an exponential function. It can be represented in the form f(x) = ab^x, where a and b are constants. The given function is not an exponential function.

Therefore, the matching is as follows:

Option 1: Not given

Option 2: Not linear

Option 3: Not quadratic

Option -1: Not exponential

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\( \frac{6}{2k - 6} = 3 \\ \\ \longrightarrow \: 6 = 6k - 18 \\ \\\longrightarrow \: 6k = 18 + 6 \\ \\\longrightarrow \: 6k = 24 \\ \\ dividing \: both \: sides \: by \: 6 \: , \\ \\\longrightarrow \: \cancel \frac{6k}{6} = \cancel \frac{24}{6} \\ \\ \longrightarrow \: \boxed{k = 4}\)

hope helpful! :)

Answer:

295.08

Step-by-step explanation:

Answer:

295.08

Step-by-step explanation:

296.4 - 1.32 = 295.08

Answer:

yes what do you want help with

Answer:

-36/35  or -1 1/35

Step-by-step explanation:

-8/5 + 4/7

Get a common denominator of 35

-8/5 * 7/7   + 4/7 *5/5

-56/35  + 20/35

-36/35

-35/35 - 1/35

-1  1/35

Answer:

-36/35

Step-by-step explanation:

First, we need to find the LCM of 5 and 7 (the denominators) which is 35.

-8*7/35 + 4*5/35 = -56/35 + 20/35 =  -36/35

Your answer is -36/35, or if it asks for a mixed number it's -1 1/35.

Hope this helps

Answer: 3
________________________________
initial value = starting value when x is 0

as you can see when x is 0 y is 3

so your initial value is 3

________________________________

Hoped this helped.

Therefore , the solution to this problem of unitary method comes out to be he should use 4 teaspoons of chocolate syrup instead of 5.

A single or distinct variable is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

Here,

Given :This recipe was doubled by Kiran. He used 4 cups of crushed ice, 6 tablespoons of chocolate syrup, 6 tablespoons of peanut butter, and 2 cups of yogurt.

1. Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.

2. Answers vary. Sample response: he should use 4 teaspoons of chocolate syrup instead of 5.

Therefore , the solution to this problem of unitary method comes out to be  he should use 4 teaspoons of chocolate syrup instead of 5.

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Answer:

8/10 of a dollar is the correct answer

Step-by-step explanation:

Answer:

Do it your self

Step-by-step explanation:

The length AB represents the length of the minor arc in the circle. The formula required to find the length is given as:

We substitute the values of the angle = 140 degrees and the radius= 8m, to find the length of the arc AB

In conclusion, the length AB = 19.55m

Answer:

Below.

Step-by-step explanation:

2 + 3 + 4 = 9 so

the smallest side = 2/9 * 45, the next = 3/9 * 45 and the longest = 4/9 *45.

= 10, 15 and 20 cm.

Answer:

i think 45 but im not to sure

Step-by-step explanation:

Answer:

c i think or it might be a

Step-by-step explanation:

The perimeter is defined as the total length measurement of the curcumference of a polygon.

But generally we are given the measurements of sides of the polygon.

So the perimeter is found by summing up all these sides that act as a circumference or boundary of the polygon,

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x denotes the rectangle's length and y its width.

Answer:

36 cans

Step-by-step explanation:

The question is asking: What is 45% of 80?

45/100 = x/80

100x= 45x80 (cross multiply)

45x80= 3600

3600/100=

36

The Critical point and Point of Inflection for the function f(x) = a/(x² + b²) are (0, a/b²) and (b/√3, 3a/4b²) respectively.

The given function is,

f(x) = a/(x² + b²) = a(x² + b²)⁻¹

Differentiating the function with respect to 'x' we get,

f'(x) = -a(x² + b²)⁻²(2x) = -2ax(x² + b²)⁻²

f''(x) = 2a[-2x(x² + b²)⁻³(2x) + (x² + b²)⁻²] = 2a(x² + b²)⁻²[-4x² + (x² + b²)] = 2a(x² + b²)⁻²[ -3x² + b²]

Now, for critical point,

f'(x) = 0 gives

-2ax(x² + b²)⁻² = 0

x = 0

So, at x = 0, f(0) = a/b²

Hence, (0, a/b²) is the critical point.

For point of Inflection,

f''(x) = 0

2a(x² + b²)⁻²[ -3x² + b²] = 0

3x² = b²

x² = b²/3

x = b/√3

So at x = b/√3, f(b/√3) = 3a/4b²

Hence the point of inflection is (b/√3, 3a/4b²).

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Answer:

He needs to get $178 to average at least $150.

Step-by-step explanation:

105, 132, 165, 170, and 178 has an average of 150.

The determinant of the transpose of A is equal to the determinant of A. And since the transpose of a skew-symmetric matrix is its negative, this implies that the determinant of A should also be equal to its negation. The only possible value that satisfies this condition is zero. Therefore, det(A) = 0 when "n" is an odd number.

We can use the property of skew-symmetric matrices, which states that the determinant of a skew-symmetric matrix of odd order is always 0. This means that for the given matrix A, which is skew-symmetric and of order n, where n is odd, det(A) = 0. In order to prove this property, we can use the fact that the determinant of a matrix is equal to the product of its eigenvalues. Since A is skew-symmetric, all its eigenvalues are imaginary and come in pairs of the form λ and -λ. Since n is odd, there is at least one eigenvalue that is equal to 0, and therefore det(A) = 0. The answer to problem 4 is that the determinant of the skew-symmetric n x n matrix A, where n is an odd number, is equal to 0.

When dealing with a skew-symmetric matrix "A" of odd order "n" (n x n matrix), the determinant of A is always zero.
In a skew-symmetric matrix, the elements below the main diagonal are the negation of the elements above the main diagonal, and the elements on the main diagonal are zero. Mathematically, this can be represented as A(i,j) = -A(j,i) for all i and j.  Since "n" is an odd number, multiplying an odd number of negative pairs will result in a negative value for the determinant.

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Based on the given informations, the angle between the ladder and the ground is decreasing at a rate of 0.009 radians/second when the ladder is 5.8 feet away from the house.

Let's call the distance between the base of the ladder and the house "x". The length of the ladder is 24 feet, so the height it reaches up the house is given by the Pythagorean theorem:

h² = 24² - x²

Differentiating both sides with respect to time:

2h dh/dt = -2x dx/dt

We want to find dh/dt when x = 5.8 feet and dx/dt = 0.25 feet/second. First, we need to solve for h:

h² = 24² - 5.8² = 557.84

h = 23.63 feet

Substituting x = 5.8 feet, h = 23.63 feet, and dx/dt = 0.25 feet/second:

2(23.63) dh/dt = -2(5.8)(0.25)

dh/dt = -0.06 feet/second

So the tip of the ladder is slipping down the side of the house at a rate of 0.06 feet/second.

To find the rate of change of the angle, we can use the formula:

tan(Θ) = h/x

Differentiating both sides with respect to time:

sec²(Θ) d(Θ)/dt = (1/x) dh/dt - (h/x²) dx/dt

We already know x = 5.8 feet, h = 23.63 feet, and dx/dt = 0.25 feet/second. We just calculated dh/dt to be -0.06 feet/second. To find sec(theta), we can use the fact that cos(Θ) = x/h:

cos(Θ) = x/h = 5.8/23.63 = 0.245

sec(Θ) = 1/cos(theta) = 4.0816

Substituting these values into the formula above:

(4.0816)² d(Θ)/dt = (1/5.8)(-0.06) - (23.63/5.8²)(0.25)

d(Θ)/dt = -0.009 radians/second (rounded to 3 decimal places)

Therefore, the angle between the ladder and the ground is decreasing at a rate of 0.009 radians/second when the ladder is 5.8 feet away from the house.

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Answer:

Step-by-step explanation:

Assumed the question is how many pages are in each chapter.

Let it be x:

Answer:

yes, it is correct

Step-by-step explanation:

12 = 1/3 (21) + 5

12 = 5 + 7

12 = 12

yes

Answer:

  yes

Step-by-step explanation:

You dilate a golden rectangle by a factor of 1/2, and you want to know if the result is a golden rectangle.

Multiplying dimensions by a constant creates a similar figure, one with all the same dimension ratios as the original.

A "golden rectangle" is one that has an aspect ratio of Φ = (1+√5)/2 ≈ 1.618. Reducing its dimensions horizontally and vertically by a factor of 1/2 does not change that aspect ratio. It is still a golden rectangle.

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The probability that a minimum of seven adults enjoy superhero movies is P(X ≥ 7) = P(X = 7) + P(X = 8)

You can calculate the specific values using the formulas and then sum them up to find the probability that a minimum of seven adults enjoy superhero movies out of the random sample of eight adults.

To find the probability that a minimum of seven adults enjoy superhero movies out of a random sample of eight adults, we need to calculate the probability of different scenarios: exactly 7 adults, exactly 8 adults, and add them together.

First, let's calculate the probability that exactly 7 adults enjoy superhero movies. We can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the combination formula (n choose k),

p is the probability of success (58% or 0.58 in decimal form),

n is the number of trials (8 in this case), and

k is the number of successes (7).

Using the formula, we can calculate:

P(X = 7) = C(8, 7) * 0.58^7 * (1 - 0.58)^(8 - 7)

Similarly, the probability that exactly 8 adults enjoy superhero movies is:

P(X = 8) = C(8, 8) * 0.58^8 * (1 - 0.58)^(8 - 8)

To find the probability of a minimum of seven adults enjoying superhero movies, we add these two probabilities together:

P(X ≥ 7) = P(X = 7) + P(X = 8)

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