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Make sure to find the missing angle measure AND the 2 missing side lengths.

The simplest way to calculate a square root is determined by the size of the number to be squared and your level of mathematical comfort. Here are some methods to consider:

Calculator: Using a calculator is the simplest way to calculate a square root. To find the square root of a number, most calculators have a square root function. Enter the number and then press the square root button.

Estimation: You can use estimation to find an approximate value for the square root of a number. To find the square root of a number, round it to the nearest perfect square (e.g. if you want to find the square root of 15, round it to 16). Then, calculate the square root of the perfect square (in this case, 4), and use that as an estimate.

Long Division: Long division is another method for determining the square root of a number. This method takes longer, but it can be used to calculate the exact value of the square root. Many guides and tutorials are available online to help you learn how to perform long division for square roots.

Using logarithms: A more advanced method for determining the square root of a number is to use logarithms. This method entails taking the number's logarithm, dividing it by 2, and then taking the antilogarithm of the result. This method is useful for calculating the square roots of very large numbers.

Otherwise, Vedic mathematics is a techniques which help in calculation of long and tricky problems or equations.

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Dana cuts a block of Colby cheese into 9 equal pieces. She serves 6 pieces when the party starts, which is 2/3 of the block. She saves 3 pieces to serve later, leaving 1/3 of the block remaining.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number below the line is called the denominator.

Dana cuts a block of Colby cheese into 9 equal pieces. This means that each piece is 1/9th of the block of Colby cheese.

Dana serves 6 pieces of the cheese when the party starts. So the total amount of cheese that she serves is 6 times the size of each piece, which is:

6 pieces x (1/9th of the block) = 6/9 or 2/3 of the block.

Therefore, Dana serves 2/3 of the block of Colby cheese when the party starts.

She saves 3 pieces to serve later, which means that there are still 3/9 or 1/3 of the block of Colby cheese left.

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The difference between original loan and unsubsidized loans at the time of graduation is =  8302.57 - 7855 = $447.57

What is meant by a loan?

A loan is a type of debt that a person or other entity incurs. The lender advances the borrower a certain amount of money, typically on behalf of a business, financial institution, or government. The borrower accepts a specific set of terms in return, which may include any economic costs, interest, a repayment schedule, and other requirements.

The lender may occasionally need collateral to protect the loan and guarantee repayment. Major purchases, investments, renovations, debt reduction, and company endeavours are just a few uses for loans. Loans aid in the expansion of already existing businesses. The growth of an economy's total money supply and fostering competition are made possible by loans to new enterprises.

Given,

 Time to graduate = 18 months

Amount of loan for 3 semesters = $7855

Unsubsidized loan

rate of interest = 3.7%

Subsidized Stafford Loan

rate of interest = 4.7%

Amount after 6 months for each loan

P = $7855

r1 =  3.7%

r2 = 4.7%

t (in years) = 18 months = 1.5 years

Number of times compounded in a year n = 12

Amount of  Unsubsidized loan at the time of graduation

= [tex]P(1 + \frac{r}{n})^{nt}[/tex]

= [tex]7855(1 + \frac{0.037}{12})^{12*1.5}[/tex]   = $8302.57

Amount of the Subsidized Stafford Loan at the time of graduation

= [tex]P(1 + \frac{r}{n})^{nt}[/tex]

= [tex]7855(1 + \frac{0.047}{12})^{12*1.5}[/tex]   = $8427.60

Therefore the difference between the balance amount of the original loan and the unsubsidized loan at the time of graduation is

=  8302.57 - 7855 = $447.57

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Types of quadrilaterals are parallelograms, rectangles, squares, rhombi, trapezoids, kites, and isosceles trapezoid.

A polygon having four sides and four angles are called a quadrilateral. Quadrilaterals come in a wide variety of forms, each with its own set of qualities and attributes.

Some of the most typical varieties are listed below:

Parallelogram - A quadrilateral has opposing sides that are equally long and parallel.

Rectangle - A parallelogram with all angles at 90 degrees is referred to as a rectangle.

Square - A rectangle with equally long sides.

Rhombus - A parallelogram with equal-length sides is referred to as a rhombus.

Trapezoid - A quadrilateral with just one set of diagonally opposed sides is called a trapezoid.

Kite - A quadrilateral has two sets of adjacent sides that are of equal length or a kite.

Isosceles trapezoid - An isosceles trapezoid is one with equally long non-parallel sides.

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Answer:

The step which is used is to construct the altitude from the incentre  to a side of triangle and label the intersection point.

Step-by-step explanation:

Given point d is is the center of inscribed circle.

To construct the inscribed circle of abc we have several steps of construction

Step 1: First step is to construct the incenter with the help of angle bisectors of two base vertices.

Here given d center of inscribed circle that means the incenter given.

Step 2: After incenter, draw a line perpendicular to one side of triangle that passes through incenter and the label the point of intersection.

This is very important step because after labelling measure the radius(same as the distance between the incenter and labelled point) and draw the circle.  

Hence, after incenter The next step is to construct the altitude from the incentre  to a side of triangle and label the intersection point.

Step 2 is used draw inscribed circle when incenter already given.

Answer:

Therefore, the influencer would earn $52 for a video with 1 million views.

Step-by-step explanation:

A number placed in front of a chemical symbol or formula in order to balance the equation is called a coefficient.

In a chemical equation, the coefficients are used to balance the number of atoms on both sides of the equation. The coefficients are placed in front of the chemical formulas or symbols to indicate the number of molecules or atoms involved in the reaction. For example, in the chemical equation for the reaction between hydrogen gas and oxygen gas to form water:

2H2 + O2 → 2H2O

The coefficient "2" in front of the H2O formula indicates that two water molecules are formed in the reaction. The coefficients are adjusted in order to ensure that the number of atoms of each element is equal on both sides of the equation, and that the law of conservation of mass is satisfied.

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The odds of winning the Mega Millions jackpot are approximately 1 in 302 million.

The chances of winning the Mega Millions Jackpot, which requires matching each of the five white balls and the gold Super Ball, are around 1 of every 302 million. The chances of winning any award in Uber Millions, which incorporates matching essentially the Super Ball, are around 1 of every 24. The size of the award relies upon the quantity of matching numbers and the Super Ball, with the big stake being the biggest award. The likelihood of winning the bonanza increments somewhat as the quantity of tickets sold increments, however it stays an exceptionally low likelihood occasion. Notwithstanding the slim chances, a great many individuals play the Uber Millions lottery consistently with expectations of becoming quite wealthy.

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333 whole cups can be filled to full capacity before the water cooler is empty.

What is volume of an object?

The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units. In other words, the volume of any object or container is the capacity of the container to hold the amount of fluid (gas or liquid).

First, we need to calculate the volume of one cone-shaped cup:

The formula for the volume of a cone is V = (1/3)πr²h, where r is the band h is the height. Since the diameter of the cup is given as 2 inches, the radius is 1 inch. Thus, the volume of one cup is:

approximately 333 whole cups can be filled to full capacity before the water cooler is empty.

Next, we need to determine how many cups can fit into the water cooler. To do this, we can divide the volume of the cooler by the volume of one cup:

          [tex]V = \frac{1}{3} \pi 1^{2} 3 \\\\V= \frac{1}{3} \pi \ cubic\ inches[/tex]

Number of cups = Volume of cooler / Volume of one cup

Number of cups = 350 cubic inches / [(1/3)π cubic inches]

Number of cups ≈ 333 whole cups

Therefore, approximately whole cups can be filled to full capacity before the water cooler is empty.

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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]

A binomial theorem calculator is an online tool that calculates the expansion of a binomial expression raised to a power

The binomial theorem, also known as the binomial expansion, describes the algebraic expansion of a binomial expression, which is a mathematical expression that consists of two terms. A binomial theorem calculator is an online tool or a software program that calculates the expansion of a binomial expression raised to a power. The binomial theorem calculator can quickly and easily perform this expansion for any given binomial expression and power.

For example, if we have the binomial expression (a + b) raised to the power of 3, the binomial theorem calculator will provide the expanded form:

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

This expansion can be useful in many mathematical calculations and applications, such as probability theory, combinatorics, and algebraic equations.

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Rhonda's claim that 8th graders performed better than 7th graders on the state English test seems to be supported, as the median and mode for the 8th graders are both higher than those for the 7th graders.

The 7th graders mode: 0 (since it appears twice in the sample)

The 7th graders median: 3.5 (since the scores are already sorted, the median is the average of the two middle scores, which are 3 and 4)

The 8th graders mode: 3 (since it appears twice in the sample)

The 8th graders median: 8.5 (since the scores are already sorted, the median is the average of the two middle scores, which are 7 and 10)

Based on these measures of center, Rhonda's claim that 8th graders performed better than 7th graders on the state English test seems to be supported, as the median and mode for the 8th graders are both higher than those for the 7th graders.

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Answer:

it would be -10x-15

Step-by-step explanation:

You're basically using distributive property

5(-2x-3)

5•-2x=-10x

5•-3=-15

-10x-15

It would stop there because you can't combine a number w/ a variable with a number without a variable, I hope that makes enough sense

Answer:  $29830

Step-by-step explanation:

Every year the amount he has (in the bank lets say) goes up by 5.6%. This can be explained as multiplying by 1.056, as it basically take the one and adds 0.056 which is equivalent to 5.6%. If we are trying to find the end value after 19 years, we would have multiplied our original value by 1.056, 19 times. We can find how much that is by calculating 1.056 to the power of 19, which equals 2.8159. This is how much the money would have increased over the 19 years. Dividing the final value by 2.8159 will get us the original value. $84,000 / 2.8159 = ~ $ 29830. I have already rounded up so this should be the answer.

The weighted average of the given numbers 1 and 6 is 2.

What is a weighted average?

A weighted average is the average of a set of integers with different associated "weights" or values. The weighted average can be calculated by multiplying each value by its weight, then adding the results.

We are given two numbers as 1 and 6.

The formula of weighted average is as follows

Weighted average = (first number x weight of first number) + (second number x weight of second number)

We are given weights as four-fifths on the first number and one-fifth on the second number.

So,

⇒Weighted average = (1 x 4/5) + (6 x 1/5)

⇒Weighted average = 4/5 + 6/5

⇒Weighted average = 10/5

⇒Weighted average = 2

Hence, the weighted average of the given numbers 1 and 6 is 2.

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Answer:

Step-by-step explanation:

The probability that one randomly selected jelly bean is red is 15% or 0.15. Because another jelly bean of the same color is replaced after each selection, the probability of selecting a red jelly bean on any given selection remains constant at 0.15.

The probability of selecting three red jelly beans in a row can be calculated using the multiplication rule of probability. According to this rule, the probability of two independent events occurring together is the product of their individual probabilities.

Therefore, the probability of selecting three red jelly beans in a row is:

P(three red jelly beans in a row) = P(red) x P(red) x P(red)

= 0.15 x 0.15 x 0.15

= 0.003375 or 0.3375%

Therefore, the probability that three beans in a row are red is 0.3375%.

the population will be 2 678

The coordinates of P' are (-√3, 1).

Given that P is located on a circle with a radius of two and an origin at its centre, the following trigonometric ratios can be used to determine P's coordinates:

Sin is equal to the opposite/hypotenuse and cos is equal to the adjacent/hypotenuse.

P's coordinates are as a result:

y = 2 sin = 2(1/2) = 1 and x = 2 cos = 2(3/2) = 3.

The x-coordinate of P' will be the opposite of the x-coordinate of P since P and P' are symmetrical about the y-axis, or x' = -3. P' will have the same y-coordinate as P, meaning that y' = 1. Hence, P's coordinates are (-3, 1).

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Answer:

which one?Tell me so I can help you

Answer:

45.01

Step-by-step explanation:

You round to the nearest hundredth so since seven is big enough you add a 1 to the hundredth place

After converting from Celsius to Fahrenheit 70 degrees Celsius is equivalent to 158 degrees Fahrenheit.

To convert Celsius to Fahrenheit, you can use the following formula:

°F = (°C x 9/5) + 32

In this case, to convert 70 degrees Celsius to Fahrenheit, we can substitute 70 for °C in the formula:

°F = (70 x 9/5) + 32

Simplifying this expression, we can first perform the multiplication and division:

°F = (126) + 32

Then we can add 126 and 32 to get the final answer:

°F = 158

It's worth noting that the Celsius and Fahrenheit scales are both used to measure temperature, but they have different starting points and different degrees of scale. Celsius is based on the freezing and boiling points of water, where 0 degrees Celsius is the freezing point and 100 degrees Celsius is the boiling point at sea level.

Fahrenheit, on the other hand, is based on a system of degrees devised by Gabriel Fahrenheit, with 32 degrees being the freezing point and 212 degrees being the boiling point at sea level.

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The solution of the given equation is 1/4

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Given equation can be rewritten as:

(1/8 -x)^(1/3) = -1/2

raising the power 3 on both the sides, we get

(1/8 -x) = (-1/2)³

(1/8 -x) = -1/8

=> x= 1/8 + 1/8 = 2/8 = 1/4

The solution of the given equation is 1/4

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Answer:

43,560ft

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Therefore, for every 1 acre it is equivalent to 43,560 feet.

110 in binary is equal to 6 as decimal.

Let's say you have a number in base 2 (binary) that you want to convert to decimal. The number is 110.

To convert this to decimal, you would use the following formula:

decimal equivalent = [tex](d_n * base^n) + (d_n-1 * base^(n-1)) + ... + (d_1 * base^1) + (d_0 * base^0)[/tex]

where:

[tex]d_n, d_n-1, ..., d_1, d_0[/tex] are the digits of the number

base is the base of the number system (in this case, 2 for binary)

n is the number of digits in the number minus 1

Using this formula,

we can convert 110 in binary to decimal as follows:

decimal equivalent = [tex](1 * 2^2) + (1 * 2^1) + (0 * 2^0)[/tex]

= 4 + 2 + 0

= 6

Therefore, 110 in binary is equal to 6 in decimal.

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3.5 kg is approximately equal to 7.7162 pounds ( rounded to four decimal places )

The conversion factor to convert kg to pounds is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

3.5 kg =  3.5 × 2.20462

Multiply the numbers

= 7.7162 pounds  ( rounded to four decimal places )

Therefore, 3.5 kg is 7.7162 pounds

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Manny can make 4 bookmarks from 1/2 yard of fabric, each bookmark is made of 1/8 yard of fabric.

Manny has 1/2 yard of fabric, and each bookmark requires 1/8 of a yard of fabric. To find out how many bookmarks Manny can make, we need to divide the total amount of fabric by the amount of fabric used per bookmark:

1/2 ÷ 1/8

To divide by a fraction, we can flip the second fraction (the divisor) and multiply:

1/2 × 8/1

Multiplying the numerators and denominators gives:

(1 × 8) / (2 × 1) = 8/2

Simplifying the fraction by dividing both the numerator and denominator by the greatest common factor of 8 and 2, which is 2:

(8/2) ÷ (2/2) = 4/1

Therefore, Manny can make 4 bookmarks from 1/2 yard of fabric. This problem involves basic arithmetic operations such as division and multiplication of fractions. To solve it, we can flip the second fraction (1/8) and multiply it with the first fraction (1/2). This gives us the total number of bookmarks that can be made with the given amount of fabric. We then simplify the resulting fraction by dividing the numerator and denominator by their greatest common factor.

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Answer:

To prove that AD is a bisector of BC, we need to show that AD divides BC into two congruent segments.

Since AB ≅ AC, we have ∠BAC ≅ ∠CAB by the isosceles triangle theorem.

Since BD ≅ CD, we have ∠CBD ≅ ∠CDB by the same reasoning.

Now, we can use the angle bisector theorem, which states that if a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to the adjacent sides.

Applying the angle bisector theorem to triangle BCD with angle ∠BCD, we get:

BD/DC = AB/AC

Since AB ≅ AC and BD ≅ CD, we can substitute and simplify to get:

BD/CD = 1

This implies that BD ≅ CD.

Therefore, AD divides BC into two congruent segments, and AD is a bisector of BC.

Hope this helps!

I think for the shirts it's 32 and the t-shirts for 50 .

Step-by-step explanation:

As per the unitary method, Roxanne's dad make did make 36 blueberry pancakes.

Here we know that Roxanne's dad made 108 mini pancakes in total, with 3 times as many blueberry pancakes as chocolate chip pancakes.

And we need to  solve this problem, we can use the unitary method, which is a simple way to solve problems involving ratios.

As we all know that the unitary method involves dividing the total number of items (108 pancakes) by the ratio (3 blueberry to 1 chocolate chip).

=> 3:1 = 108

When we simplify this gives us the result that 36 blueberry pancakes were made. Therefore, Roxanne's dad made 36 blueberry pancakes

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The total amount of interest that the student paid for the unsubsidized Stafford loan with an interest rate of 6.8%, compounded monthly is,

⇒ $476.24.

Thus, The correct answer is Option C.

A loan is the lending of money by one or more individuals, organizations, or other entities to other individuals, organizations, or other entities in finance.

Given that;

Borrowed money = $2,560

The fixed monthly payment = $84.34

Hence, The total amount that the student paid for 3 years after the grace period is,

= $84.34 × 3 × 12

= $3036.24

Thus, The amount of interest will be;

⇒ Total amount paid - Sum borrowed

Hence, We get;

Interest =  $ 3,036.24- $2,560

            = $ 476.24

Therefore, $476.24 is the total amount of interest the student paid.

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