Consider trapezoid KLMN
. Trapezoid KLMN
is reflected across the x
- and y
-axes to form trapezoid K′L′M′N′.


What is the length of line segment K′N′
?

Responses

3
units
3 units

6
units
6 units

9
units
9 units

12
units

Answer:

Finished

Step-by-step explanation:

-Multiple the exponents together

-keep ×10 the same so you can apply the second law of exponents

-Then divide and subtract the exponents of ×10

-Let the 14.44 and 5.9 divide each other

-Leave it like that because it's standard form

If the whole number n is such that n * (n+28) is a prime number.  the prime number is 29.

We can start by expanding the expression n × (n+28) to get n^2 + 28n. Notice that n^2 + 28n is a quadratic expression that can be factored as n(n+28). Therefore, if n × (n+28) is a prime number, then n and n+28 must be either 1 and the prime number or the prime number and 1 (since a prime number has only two positive factors, 1 and itself).

If n = 1, then n+28 = 29, and n × (n+28) = 1 × 29 = 29, which is a prime number.

If n+28 = 1, then n = -27, which is not a whole number.

Therefore, the prime number in question is n × (n+28) = 29.

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Which of the following is not an equivalent fraction of 1830, the correct answer is (option A)

Fractions that represent the same value

Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.

To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (35) by the same natural number, ie, multiply by 2, 3, 4, 5, 6... Important: 1830 looks like a fraction, but it is actually an improper fraction. 610 is equivalent to 1830 because 3 × 25 × 2 = 610.

Hence, Which of the following is not an equivalent fraction of 1830, the correct answer is (option A)

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Answer:

x = 39

Step-by-step explanation:

We need to solve for the interior angle measure. The sum of a triangle's interior angle measures are 180, so we just have to create an equation and solve for x.

[tex]x+102+39=180[/tex]

Add like terms

[tex]x+141=180[/tex]

Subtract 141 on both sides

[tex]x=39[/tex]

To check our work, we can add the angle measures together to see if they add up to 180.

[tex]39+102+39 = 180[/tex]

If Seshni wants to cover six cushions, each measuring 36 cm x 36 cm, with fabric.  

a. Seshni needs to buy 0.84375 square meters of fabric.

b. It will cost R64.66 including VAT.

a. The dimensions of each cushion are 36 cm x 36 cm, and with the added 1.5 cm seam allowance, each cushion will require fabric with dimensions of (36 + 1.5) cm x (36 + 1.5) cm = 37.5 cm x 37.5 cm.

The total area of fabric required to cover all six cushions is:

6 cushions x (37.5 cm x 37.5 cm) = 8437.5 square centimeters

To convert to square meters, we need to divide by 10000:

8437.5 square centimeters / 10000 = 0.84375 square meters

So, Seshni needs to buy 0.84375 square meters of fabric.

b. Next, we can calculate the cost of the fabric.

0.84375 square meters / 0.9 meters = 0.9375 meters

The cost per meter is R59.99 excluding VAT, so the cost of the fabric is:

0.9375 meters x R59.99/meter = R56.23

To calculate the cost including VAT, we need to add the VAT amount. Assuming the VAT rate is 15%, the VAT amount is:

0.15 x R56.23 = R8.43

So the total cost including VAT is:

R56.23 + R8.43 = R64.66

Therefore, Seshni needs to buy 0.84375 square meters of fabric, and it will cost R64.66 including VAT.

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$12,960 is the answer I believe

1% of 12,000 is 120

120 times 8 is 960

12,000 plus the tax (960) = 12,960

15 squares will there be when there are 24 triangles to maintain the ratio.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

We have 5 squares and 8 Triangles.

let the number of square be x when there is 24 triangles.

using Proportion

5/8 = x / 24

8x = 120

x = 15

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[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =177 \end{cases}\implies n(177)=180n-360 \\\\\\ 177n=180n-360\implies 0=3n-360\implies 360=3n \\\\\\ \cfrac{360}{3}=n\implies 120=n[/tex]

Answer:

The relationship is additive because the value of y is 6 more than the value of x

Step-by-step explanation:

did the test and there's a plus sign in the equation so y would be 6 more than the value of x

The relationship between x and y in the equation y = x + 6, is Linear relationship, because the value of y can be represented in a straight line.

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Given the equation:

y = x + 6

This is a linear equation.

The slope is 1 and the initial value (y intercept) is 6

Hence, the relationship between x and y in the equation y = x + 6, is Linear relationship.

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Answer:

(a) (300+2x)(4x+40)=8x^2+1280x+12000

(b) 300+2x=360, x=30. Then width = 4*30+40=160. 360*160=57600 ft squared.

The value of 103 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 227.07 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 103 x 2.20462262184878

= 227.07 pounds or lbs.

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So, in response to the above question, we can state that We obtain the inequality following system of inequalities by combining these three constraints:

[tex]x + y \geq 10\\x \leq 7\\y \leq 6[/tex]

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

[tex]x + y \geq 10[/tex]

Next, we know that Sam works out his cardiovascular system for no more than 7 hours. Thus, x must be less than or equal to 7. This restriction can be shown by the inequality:

[tex]x \leq 7[/tex]

Finally, we are aware that Sam only devotes a maximum of 6 hours to weight training. This implies that y should be between -6 and -6. This restriction can be shown by the inequality:

[tex]y \leq 6[/tex]

We obtain the following system of inequalities by combining these three constraints:

[tex]x + y \geq 10\\x \leq 7\\y \leq 6[/tex]

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When tossing a fair coin, the possible outcomes are a head (H) or a tail (T), each with a probability of 1/2.

To find the probability of getting at least one head in two coin tosses, we can first find the probability of getting no heads (i.e., two tails) and then subtract that from 1 to get the probability of getting at least one head.

The probability of getting two tails is (1/2) * (1/2) = 1/4, since the probability of getting a tail on the first toss is 1/2 and the probability of getting a tail on the second toss is also 1/2, and we multiply these probabilities together to get the joint probability.

Therefore, the probability of getting at least one head in two coin tosses is:

1 - 1/4 = 3/4

So the probability of at least one head in two coin tosses is 3/4 or 0.75.

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The cube root of 36 is a number between 3 and 3.5, and can be represented mathematically as ∛36.

Square roots are simply the opposite operation of squaring a number. For example, the square root of 9 is 3 because 3 x 3 = 9.

Similarly, the cube root is the opposite operation of cubing a number. The cube root of a number is the value that, when cubed, gives the original number. For instance, the cube root of 27 is 3 because 3 x 3 x 3 = 27.

Now, to answer your question, "What is 36 cube root?" - this can be written as ∛36 or as the cube root of 36. To find the cube root of 36, we need to find a number that, when cubed, gives 36.

We can start by using trial and error. We know that 2 x 2 x 2 = 8, which is less than 36. We also know that

=> 3 x 3 x 3 = 27, which is less than 36.

So, we can try a number between 3 and 4. Let's try 3.5.

If we cube 3.5, we get 42.875, which is greater than 36.

If we try a number lower than 3.5, we will get an even greater value. Therefore, the cube root of 36 is between 3 and 3.5.

We can use more precise methods to find the cube root of 36, such as using a calculator or estimating with decimal approximations. However, using trial and error is a simple and effective way to find an approximate answer.

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There are 36 possible outcomes when rolling a pair of number cubes. To find the probability of rolling a sum greater than 10 on both rolls, we can start by listing all the outcomes where the sum of the first roll and second roll is greater than 10:

5 + 6 = 11

6 + 5 = 11

6 + 6 = 12

There are 3 ways to get a sum greater than 10. Since we are rolling the pair of number cubes twice, there are a total of 36 x 36 = 1,296 possible outcomes. The probability of rolling a sum greater than 10 on both rolls is therefore 3/1,296, which simplifies to 1/432.

Answer:23/10

Step-by-step explanation:

you move the comma and  how many times you have to move it is how many zeros in the denominator

The population of Medway, Ohio, is expected to be approximately 3728 in the year 2020.

From the question, we have the following parameters that can be used in our computation:

Initial, a = 4007

Rate = 0.36% per year

The decay function is represented as

y = a(1 - rate)^x

So, we have

y = 4007 * (1 - 0.36%)^x

This gives

y = 4007 * (0.9964)^x

The year 2020 is 20 years from 2000

So, we have

x = 20

Substitute the known values in the above equation, so, we have the following representation

y = 4007 * (0.9964)^20

Evaluate

y = 3728

Hence, the approximate solution is 3728

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The present ages are the Boy is 17 years old and his sister's age is 14 years old.

Since the ratio of ages is 4: 3 take them as 4x and 3x and form an equation as given in the problem. Solve the resultant equation for the values of 'x'. And calculate the ages 5 years ago and add 5 to get the present ages.

Here we have

A boy is older than his sister by 3 years  

Then the difference is both ages = 3

Given that five years ago the ratio of ages = 4: 3  

Let 4x and 3x be the age of a boy and his sister five years

As we know the difference between them = 3 years

=> 4x - 3x = 3

=> x = 3 years

=> 4x = 4(3) = 12

Boy's age after '5' years = 12 + 5 = 17 years

His sister's age = 17 - 3 = 14 years

Therefore,

The present ages the Boy is 17 years old and his sister's age is 14 years old.

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Complete Question:

A boy is older than his sister by 3 years, five years ago the ratio was 4:3. Find his present age.

Answer:120

Step-by-step explanation:

Answer:

The length of the other two equal sides is 11.75 yards.

Step-by-step explanation:

Let's call the length of the two equal sides of the rectangular enclosure "x". We know that the total amount of fencing used is 65 yards and that two sides already use 41.50 yards of fencing.

So, we can set up the equation:

2x + 41.50 = 65

To solve for x, we first need to isolate x on one side of the equation. We can start by subtracting 41.50 from both sides:

2x = 23.50

Then, we can divide both sides by 2 to solve for x:

x = 11.75

Therefore, the length of the other two equal sides is 11.75 yards.

Answer:

The quadratic equation [tex]2x^2-10x\:+\:27\:=\:-10[/tex] has no real roots

The two complex roots are:

[tex]x = 2.5 + 3.5 \, i\\\\and\\\\x = 2.5 - 3.5 \, i[/tex]

Step-by-step explanation:

There are no real root solutions to this quadratic equation

The quadratic formula for solving an equation of the standard form

[tex]ax^2 + bx + c = 0[/tex]

is given by

[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]

The term under the square root is called the discriminant and determines the type number of roots(solutions) to the quadratic

The given quadratic equation is
[tex]2x^2-10x\:+\:27\:=\:-10[/tex]

Add 10 to both sides:
[tex]2x^2-10x\:+\:37\:=0[/tex]

Comparing to the standard form we see
a = 2, b = -10, c = 37

The discriminant is
[tex]b^2 - 4ac = (-10)^2 - 4\cdot2\cdot 37\\= 100 - 296\\= -196[/tex]

Since the discriminant is negative both roots will be comples
[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\\\x = \dfrac{ -(-10) \pm \sqrt{(-10)^2 - 4(2)(37)}}{ 2(2) }\\\\x = \dfrac{ 10 \pm \sqrt{100 - 296}}{ 4 }\\\\x = \dfrac{ 10 \pm \sqrt{-196}}{ 4 }[/tex]

[tex]\text {To find $\sqrt{-196}$}[/tex]

[tex]\sqrt{-196} = \sqrt{196}\sqrt{-1} =\sqrt{196}\;i[/tex]

where i = [tex]\sqrt{-1}[/tex]

We have

[tex]\sqrt{196} = 14\\\\So\\\\\sqrt{-196} = 14i[/tex]

The solutions are

[tex]x = \dfrac{ 10 \pm 14\, i}{ 4 }[/tex]

[tex]x = \dfrac{ 10 }{ 4 } \pm \dfrac{14\, i}{ 4 }[/tex]

[tex]x = \dfrac{ 5}{ 2 } \pm \dfrac{ 7\, i}{ 2 }[/tex]

[tex]x = 2.5 \pm 3.5i[/tex]

The two complex solutions are:

[tex]x = 2.5 + 3.5 \, i\\\\and\\\\x = 2.5 - 3.5 \, i[/tex]

Answer:  In trigonometry, the unit circle has a radius of 1 and is centered at the origin. It’s useful for learning ratios like sine and cosine. It also illustrates the relationship between angles in degrees and radians.

Step-by-step explanation:

Answer: To prove that triangles △ABC and △DEF are similar, we would use the AA Similarity Postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. In other words, if the corresponding angles of two triangles are congruent, then the triangles are similar.

Step-by-step explanation:

Answer:

Step-by-step explanation:

$270 in total

The total of a hexagon's internal angles is 720 degrees.

The internal angles of a hexagon may be calculated using the formula "180 - (360/n)," where n is the number of sides. When you enter 6 for a hexagon, the response is 120 degrees.

We might begin by imagining a hexagon to better comprehend the notion. It is a basic design made up of six distinct straight lines that join to form a closed shape. The internal angles are the angles on the inside of the form.

The above-mentioned formula may be used to compute the internal angles of a hexagon. For each inner angle of a hexagon, the computation yields a value of 120 degrees. Hence the total of a hexagon's internal angles is 720 degrees.

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Answer:

15 over 1

Step-by-step explanation:

no explanation

The mean arterial pressure formula is MAP = CO x TPR or MAP = (SBP + 2DBP) / 3.

The mean arterial pressure (MAP) formula is:

MAP = CO x TPR

where:

CO is the cardiac output (how much blood is siphoned by the heart each moment)

TPR is the all-out peripheral resistance (the resistance from the bloodstream in the body's veins)

On the other hand, the mean arterial pressure can also be calculated using the following equation:

MAP = (SBP + 2DBP)/3

where:

SBP is the systolic blood pressure (the highest pressure in the arteries when the heart beats)

DBP is the diastolic blood pressure(the lowest pressure in the arteries when the heart is at rest between beats)

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The correct graph is the first one.

Graph is a data structure composed of nodes connected by edges, which represent a relationship between the two notes of are used to represent networks of communication that organized and even extract concept like thought or riders the nodes in the graph are often represent by Circle and it's by line but the other safe of the symbol are also use copper power Bluetooth for a organizing and understanding data and can be used to solve complex problem.

It represents the equation y = 20 + 10x, which means that the gymnast pays a flat fee of $20 for each month plus an additional $10 for each class he attends. Therefore, the graph will show a line going from the point 0, 20 through the point 1, 30.

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Yes, the ordered pair [1,-5] is a solution of 3x-2y=13. Because when evaluating the ordered pair in the equation it is true.

To determine if an ordered pair is a solution to an equation, we can plug in the values of the ordered pair into the equation and see if the equation is true.

In this case, the ordered pair is [1,-5], which means x=1 and y=-5. We can plug these values into the equation 3x-2y=13 and see if it is true:

3(1) - 2(-5) = 13

3 + 10 = 13

13 = 13

Since the equation is true, the ordered pair [1,-5] is a solution of 3x-2y=13.

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To prove that two triangles △ABC and △DEF are similar, we can use the following theorem:

The Angle-Angle (AA) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Or else, if ∠A ≅ ∠D and ∠B ≅ ∠E, then △ABC ~ △DEF. This theorem relies on the fact that when two angles of one triangle are congruent to two angles of another triangle, the third angle must also be congruent due to the fact that the sum of the angles in a triangle is always 180 degrees. Thus, the triangles must have the same shape and are therefore similar.

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Answer:

It should be OB, process of elimination helps a lot in questions like these