Geometry question don’t understand 1 and 3

Answer:

To solve for x, you can start by moving the constant 2 to the other side of the equation by adding x to both sides:

x^2 - x = 2

x^2 - x + (1/4) = 2 + (1/4)

(x - 1/2)^2 = 9/4

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

x = -1/2 or x = 2

So the solutions for x are -1/2 and 2.

The equation  (√x^2+81 = x+10 ) is equivalent to D: ( x^2 + 81 = x^2 + 20x + 100).

To prove that ( √x^2+81 = x+10  )is equivalent to ( x^2 + 81 = x^2 + 20x + 100 ), we will show that one equation is a consequence of the other.

First, we begin by squaring both sides of the equation ( √x^2+81 = x+10 ). This gives us ( x^2+81 = x^2+20x+100 ).

We can see that if ( √x^2+81 = x+10 ) is true, then  (x^2 + 81 = x^2 + 20x + 100)  must also be true because the left side of the equation is the square of the right side.

The other way around, if ( x^2 + 81 = x^2 + 20x + 100 ) is true, then we can take the square root of both sides and get  (√x^2+81 = x+10 ).

So, the equation ( √x^2+81 = x+10 ) is equivalent to ( x^2 + 81 = x^2 + 20x + 100).

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Answer:

-40.6

Step-by-step explanation:

On solving the provided question we can say that the radius of circle is 2.1415 cm.

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

We know, Central angle (θ) = (length arc)/radius ….(1)

Convert angle in radian:

Angle in radians = Angle in degrees x π/180° = 197° x π/180 = 1.09

From (1),

Radius = (length arc)/Central angle

= 8/3.1415 =2.1415cm

Therefore radius is 2.1415 cm.

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It is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm because the sum of two sides are greater than the third sides.

In the given question, we have to check that it is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always greater than the third side.

To check this we firstly add the 2 and 3

2 + 3 > 4

5 > 4

Now we add 2 and 4

2 + 4 > 3

6 > 3

Now we add 3 and 4

4 + 3 > 2

7 > 2

It is possible to construct a triangle whose sides are 2 cm 3 cm and 4 cm because the sum of two sides are greater than the third sides.

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Answer:

(5.25, - 5.25 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 5.25, - 5.25 ) → (-(- 5.25), - 5.25 ) → (5.25, - 5.25 )

Therefore , the solution of the given problem of combination comes out to be 6,500,000.

Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the direction of the selection is irrelevant. You can choose any combination of the components in any order. Combinations and permutations can be confused.

Here,

Berry, we'd like to estimate the amount of potential student IDs.

among the available figures are;

Ten numbers: 0 1 2 3 4 5 6 7 8

26 alphabets, as well

There are 10 options for the first digit.

Ten alternatives for the second digits

Three digits, 10 options

10 options for the fourth digit

26 options for the first alphabet

Second Alphabet: There are 25 options available if we choose all the other alphabets outside the one we first chose.

the number of potential student IDs will therefore be;

=>10 * 10 * 10 * 10 * 25 * 26 = 6,500,000

Therefore , the solution of the given problem of combination comes out to be 6,500,000.

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The area of the triangle is equal to 36 square units.

In this question we find a triangle whose base (b), in units, is parallel to x-axis and whose height (h), in units, is parallel to y-axis. The area formula for the triangle is shown below:

A = 0.5 · b · h

Where A is the area of th triangle, in square units.

If we know that b = 9 and h = 8, then the area of the triangle shown in the image is:

A = 0.5 · 9 · 8

A = 36

The triangle has an area of 36 square units. (Correct choice: B)

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As 30% of the pizza were made, we will have 500 pizzas that as extra cheese.

At Pizza Pi, the number of Pizzas that had extra cheese last week = 150

The percentage of Pizzas that had extra cheese last week = 30%

Now, let us assume that number of Pizzas made last week = X. Then, we will write the equation as:

30X/100 = 150

30X = (150 * 100)

30X = 15000

X = 15000/30

X = 500. Therefore, it can be deducted that 500 pizzas were made last week .

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The permutation and combination C(n ,r) of

C(7,5) = 21.

Permutation

Permutation is the arrangement of objects, some or all of which are acquired at the same time, in a particular order. Consider ten numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number of different 4-digit PINs that can be formed from these 10 digits is 5040. P(10, 4) = 5040. This is a simple example of permutation. The permutation of 4 numbers out of 10 is equal to the factorial of 10 divided by the factorial of the difference between 10 and 4.

Combinations

Combinations are about grouping. Combinations can be used to calculate how many different groups can be formed from existing ones. Let's try to understand this with a simple example. Five students (William, James, Noah, Logan and Oliver) form teams of two.

According to the question:

C (n, r) = C( 7,5)

⇒ 7!/ 5! × 2!

⇒ 7 × 6 ×5!/ 5! × 2 ×1

⇒ 21.

Therefore, C(n ,r) = 21

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Answer:

sinΘ = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

given the point (3, 4 )

the x- coordinate indicates the horizontal length of the triangle, that is 3

the y- coordinate indicates the vertical length of the triangle, that is 4

the triangle is right and is a 3- 4- 5  , hypotenuse is 5

then

sinΘ = [tex]\frac{vertical}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]

X should be subtracted from the product of X and 2 to obtain X, this can be represented as 2X - X = X, This operation is the inverse of addition, therefore it undoes the addition of X to 2X, resulting in the original number X.

To obtain the equation X from the product of X and 2, you would need to subtract X from the product. In other words, you would need to subtract the factor X from the product.

X × 2 - X = X

This can be simplified as

2X - X = X

So, X should be subtracted from the product of X and 2 to get X.

It is important to note that this is only true when X is not equal to zero, because if X is zero, any number multiplied by zero will give zero, and subtracting zero from zero will not give zero.

It can be seen that the operation of subtraction is the inverse of addition, therefore if you subtract X from 2X, you are essentially undoing the addition of X to 2X, which gives the original number X.

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Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

(a) To find the probability that the item is requested more than 5 times on a given day, we would need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability.

(b) To find the probability that the item is not requested at all on a given day, we would need to know the probability distribution of the demand for the item. Without that information, it is not possible to calculate this probability.

(a) To find the probability that the item is requested more than 5 times on a given day, we would need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability. This is because the average demand of 5 times per day does not provide enough information to determine the likelihood of the demand exceeding 5 times. We would need to know more information such as the standard deviation, skewness, kurtosis and the underlying distribution of the data, in order to calculate this probability.

(b) To find the probability that the item is not requested at all on a given day, we would also need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability. The average demand of 5 times per day does not provide enough information to determine the likelihood of the demand being zero. We would need to know more information such as the standard deviation, skewness, kurtosis and the underlying distribution of the data, in order to calculate this probability.

It's important to note that if the demand follows a Poisson distribution, you can use the expected value (λ = 5) to calculate the probability of the demand being zero (P(X = 0) = e^(-λ)).

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Mark the sides BC and DF as congruent.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.

This characteristic is known as the triangle's angle sum property.

If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.

In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.

A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.

The vertex is the intersection of two straight lines. The triangle therefore has three vertices.

According to our question-

We are given a side and an adjacent angle, and we must figure out which side or angle is needed in order for SAS to provide proof.

SAS stands for side-angle-side and calls for the congruency of two sides and the included angle on both triangles.

The side of the designated angle B and D that is missing is as follows:

side DF or BC.

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Answer:

Divide by 2

Step-by-step explanation:

48 divided by 2 is 24 and 24 divided by 2 is 12.

Therefore ,ecklaces cost $15.67, and the equation for the inequality in the statement is $7.62, therefore 7.62x + 15.67y ≥ 450.

In mathematics, an inequality is a link between two phrases or values that isn't equal. As a result, inequality results from imbalance. In mathematics, an inequality establishes a connection between two non-equal numbers. Egality is different from inequality. Use the or equal sign most frequently to indicate that two values really aren't equal (). Values of any size can be contrasted using various inequalities. By changing the two sides till it variables are all that is left, many straightforward inequalities can be resolved. But a lot of factors support inequality: On either side, negative values are split or added. Exchange lefts

Here,

Let X equal the quantity of bracelets.

give Y the quantity of necklaces.

Equation of inequality: 450 = 7.62x + 15.67y

Inequality in the sentence's equation Because bracelets cost $7.62 and necklaces cost $15.67,

her revenue needs to be at least $450 (7.62x + 15.67y ≥ 450).

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The remainder of 30 divided by 775, is 0.0387.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

The number 30 is called the numerator or dividend, and the number 775 is called the denominator or divisor.

The quotient of 30 and 775,

30 divided by 775,

that means,

30/775

= 0.0387, this is the remainder.

Therefore, 0.0387 is the remainder.

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Both aviv and marco were correct about the expression

given that

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Many authors distinguish an expression from a formula, the former denoting a mathematical object, and the latter denoting a statement about mathematical objects

Aviv and Marco were trying to describe the parts of the expression 5a/2a+3.

Aviv said, "The entire expression is the quotient of 5a and 2a+3"

Marco said, "On it's own, 2a+3 is a sum with 2 terms."

now , we need to find who is correct

according to aviv The expression 5a/2a+3 is the quotient of the terms as it can be written as 5a ÷ ( 2a+3 ).

according to marco the expression 2a+3 is sum of two terms

Therefore both aviv and marco are correct

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Answer:

A)  See below

B) Yes

Step-by-step explanation:

A)

Substitute 0 for x

3(x + 2) + 2x - 1

3(0 + 2) + 2(0) -1

3(2) + 0 - 1

6 + 0 - 1

5

5x + 5

5(0) + 5

0 + 5

5

B

Yes, I got the same answer 5.

We can also simplify the first expression and we can see that the expressions are equal.

3(x + 2) + 2x -1  Distribute the 3

3x + 6 + 2x -1  Combine like terms

5x + 5

This equals the second expression.

Answer:

16 logs

because if 4 logs are burned  in 2 hours then in 8 hours it would be 16 because 2hrs times 4 is 8 hours

you do the same to the logs which is 4 x 4

then u get 16

hope this helps!

The simple interest earned by Edin after 3 years is $45.

The formula for the simple interest is-

SI = PRT/100

The interest which would be earned in 3 years:

SI = 300*5*3 / 100

SI = 45

Thus, the interest earned by Edin after 3 years is $45.

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Lee has saved $255. This can be found by multiplying Jee's aved amount of $51 by 5. Therefore, Lee has aved $255.

First, we need to calculate how much money Jee has aved. We know Jee has aved $51, so we multiply that by 5 to find out how much money Lee has aved.

51 x 5 = 255

Therefore, Lee has aved $255. Jee has aved $51, and if we multiply that amount by 5, we can calculate how much money Lee has aved. To find the answer, we first need to multiply 51 by 5. When we do this, we get the amount of money that Lee has aved, which is $255. This means that Lee has aved five times as much money as Jee has aved, which is $255. This can be found by multiplying Jee's aved amount of $51 by 5. Therefore, Lee has aved $255.

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Answer:

b = 10.24 units.

Step-by-step explanation:

The adjacent is 10.24 units long.

Please let me know if this helped!!!

Carthik weighs 225 grams, and the mean weight of the mice is 238g.

An equation is a expression that shows the relationship between numbers and variables.

Given that Dorothy weighs 152 g. Let x represent the weight of Amin, y represent that of Brenda and z represent Carthik.

Amin weighs twice as much as Carthik, hence:

x = 2z

x - 2z = 0    (1)

Brenda weighs 100g less than Carthik, hence:

y = z - 100

y - z = -100    (2)

The mean weight of the mice is 238g. hence:

(x + y + z + 152)/4 = 238

x + y + z = 800    (3)

Solving the 3 equations by elimination gives:

x = 450, y = 125 and z = 225

Carthik weighs 225 grams

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Answer:

its c

Step-by-step explanation:

2 x 12= 24, 3 x 8=24 and 4 x 6=24

Answer: To find the percent of gas used, we need to divide the amount of gas used by the total amount of gas the van can hold and multiply by 100.

Percent of gas used = (Gas used / Total gas) * 100

Given that the van uses 8.4 gallons of gas and can hold 14 gallons of gas, we can substitute these values into the formula:

Percent of gas used = (8.4 / 14) * 100

By performing this calculation we can get that the percent of gas used was: 8.4/14 = 0.6 = 60%

So, 60% of the total gas was used during the trip to the Seattle Zoo.

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

8.4 divided by 14 = 0.6. Let 1 be the 100%. Since 0.6 is the same as 0.60, we remove the decimal and make it 60.

The majority of the data is split to the right and left of the mean.

The data is mostly divided to the right and left of the mean. The normal distribution is symmetric and continuous. Positively skewed data will have a higher mean than the median. If the data distribution is tilted to the left, the mean is less than the median, which is frequently less than the mode. A probability function that defines how the values of a variable are distributed is known as the normal distribution. The mean, median, and mode values in a normal distribution are all equal. So, in the context of a normal distribution curve, point (ii) is valid.

Here,

The data is mostly divided to the right and left of the mean. The normal distribution is symmetric and continuous. Positively skewed data will have a higher mean than the median.

The data is mostly divided to the right and left of the mean.

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Answer:(f+g) is 2668, (f-g) is -2800

Step-by-step explanation: