find the sum 670 +1401+9124

Answer:

865

Step-by-step explanation:

if minus than answer

The area of the largest equilateral triangle that can be inscribed in a square of side length 1 unit is (1/4) * √3 square units.

To find the area of the largest equilateral triangle that can be inscribed in a square of side length 1 unit, follow these steps:

1. Draw an equilateral triangle inside the square with one of its vertices touching the midpoint of the bottom side of the square, and the other two vertices touching the midpoints of the other two sides.

2. The height (h) of the equilateral triangle can be found using Pythagorean theorem. Since the triangle is equilateral, it can be split into two 30-60-90 right triangles. In this case, the shorter leg (a) is half the side length of the square (1/2), and the longer leg (b) is the height of the equilateral triangle (h).

3. In a 30-60-90 triangle, the ratio of the sides is a:b:h = 1:√3:2. Therefore, we can write the equation:

1/2 : h : 1

4. To find the value of h, we can set up the proportion:

(1/2) / h = 1 / √3

5. Cross-multiply to solve for h:

h = (1/2) * √3

6. Now we can find the area (A) of the equilateral triangle using the formula:

A = (1/2) * base * height

In this case, the base is the side length of the square (1 unit) and the height is h:

A = (1/2) * 1 * ((1/2) * √3)

7. Simplify the expression:

A = (1/4) * √3 square units

So, the area of the largest equilateral triangle that can be inscribed in a square of side length 1 unit is (1/4) * √3 square units.

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Answer:

Step-by-step explanation:

hi

Answer:

A 3 1/2

Step-by-step explanation:

There are a number of ways that you can solve this

Method 1)

Since these proportions are set equal to each other, we know that x is also equivalent to 1/2. So, we need to find the whole-number that was multiplied by the first fraction (1/2/4) that gave us the second fraction (x/28).

So we need to divide the denominators

28/4 = 7

Now that we have that number, we will mutiply 1/2 by it because we know that whatever x is the 1/2 times 7 since 28 is 4*7:

1/2 * 7 = 3.5 or 3 1/2, so 3 1/2 is our answer...

Another way that we can solve this is by using the cross product (butterfly method)

Method 2)

Multiply 28 by 1/2 = 14.

Now we will divide 14 by 4. 14/4 = 3.5

3.5 = 3 1/2, so that is our answer.

Answer:

D

Step-by-step explanation:

the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.

otherwise, we would have a "<=" ("smaller or equal") symbol.

let's start for the first limit to calculate without the absolute value :

-2 + (x - 3) < 7

-5 + x < 7

x < 12

the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :

-1×(-2 + (x - 3)) < 7

2 - (x - 3) < 7

2 - x + 3 < 7

-x + 5 < 7

-x < 2

x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:

1. diagrams C. D. and F. are adjacent angles, which are angles that share a vertex and side

2. diagram B. are vertical angles

3. diagram A. are complementary angles

4. diagram E. are supplementary angles

5. diagram D. is a linear pair

The answer is shown below

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common  \(vertex\).and a common side but they do not overlap each other.

The properties of adjacent angles given below help us identify them easily.

Given:

according to the property of adjacent angle,

1. Figure (C), (D) and (F) are adjacent angles, which are angles that share a vertex and side

2. Figure B shows vertical angles

3. Figure A shows complementary angles

4. Figure E shows supplementary angles

5. Figure D forms a linear pair

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Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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This question is incomplete

Complete Question

At Tom's workplace, the thermometer is reading 86 degrees Fahrenheit. When the temperature goes over 32 degrees Celsius, Tom must have an extra break. He uses the formula below to calculate the temperature in °C.

C=(F−32)5/9

Will Tom get an extra break? YES ? NO ?

Answer:

No

Step-by-step explanation:

We are given the formula

°C=(F−32)5/9

F = 86°F

°C = (86 - 32) × 5/9

°C = 54 × 5/9

°C = 6 × 5

°C = 30°C

The rule says: When the temperature goes over 32 degrees Celsius, Tom must have an extra break.

From the question, the temperature does not go above 30°C , hence, Tom doesn't get an extra break.

Using inequality, we know that Mia needs to buy 41 sets of knives.

So, the number of sets of knives Mia could buy:

At least 657 knives are required by the restaurant, so:

The difference is:

Now, solve as follows:

Rounding off: 41

Therefore, using inequality, we know that Mia needs to buy 41 sets of knives.

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Answer:

b. 0.25

Step-by-step explanation:

40 + 120 = 160

40 / 160

Answer:

x = 4

Step-by-step explanation:

The image provided below, I find very helpful when trying to solve difficult problems such as this one.

We use the same relationship, the only difference is we are given expressions and numbers for the segments

If the product of the segments in one chord equal the product of the segments in the other chord then,

x * 6 = 8 * ( x - 1 )

Or 6x = 8 ( x - 1 )

Now we solve for

Step 1 distribute the 8

8 * x = 8x

8 * -1 = -8

We now have 6x = 8x - 8

step 2 subtract 8x from each side

6x - 8x = -2x

8x - 8x cancels out

we now have -2x = -8

step 3 divide each side by -2

-2x / -2 = x

-8 / - 2 = -4

we're left with x = 4

If there are \(2\pi\) radians and \(360 \textdegree\) in one full rotation and an angle has a measure of \(2.1 radians\) then the angle is 33.4 percent of a full rotation , and the measure of the angle in degrees is \(120.2\textdegree\) .

we know that in 1 full rotation , the radians is 2π ;

and in 1 full rotation , the degree is 360 degree ;

We know that the relation between the degree and the radian measure is

⇒ \(1 radian = \frac{180\textdegree}{\pi }\) ;

Part(i) ;

we have to express the 2.1 radians as a percent of full rotation ;

we get ; ⇒ \(\frac{2.1}{2\pi } \times 100\%\)

on simplifying further ,

we get ; \(\approx 33.4\%\) .

Part(ii)  ;

we have to determine the measure of the angle in degrees.

from part(i) , we find the percent is \(33.4\%\) ,

So , \(33.4\%\times 360\textdegree\)

On simplifying ,

⇒ \(\frac{33.4}{100} \times 360\textdegree\)

\(\approx 120.2\textdegree\) .

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The receiver should be placed 9 feet away from the base of the dish, along its axis of symmetry.

This was found by using the equation for a vertical parabola, y = (¹/₄a)(x - h)² + k,

where (h, k) are the coordinates of the center.

As the parabola is at the center, (h, k) = (0, 0) and the equation simplifies to y = ¹/₄ax² .

Using the given information that the dish is 12 feet across at its opening and 2 feet deep at its center, the coordinate of the given point is (12,4) and by substituting this information into the equation,

the value of a is found as 9 ft which represents the distance between the vertex and the focus.

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Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

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

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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As per the unitary method the number of students who attended the play is 280.

The unitary method is a mathematical method used to find the value of a single unit in a given set of values. In this case, we will be using it to find the number of student tickets sold at the local play.

Let's say that "x" represents the number of student tickets sold.

The cost of each student ticket is $6, so the total cost of student tickets is $6x. The total cost of adult tickets is $11y, where "y" represents the number of adult tickets sold. The total ticket sales for the play was $3,000, so we can write the equation:

$6x + $11y = $3,000

We already know the cost of student tickets and adult tickets, so we can substitute those values into the equation:

$6x + $11y = $3,000

$6x = $3,000 - $11y

Now we can divide both sides of the equation by $6 to find the value of x:

x = ($3,000 - $11y) / $6

Since the total ticket sales were $3,000 for 400 tickets, we can use that information to solve for y:

$3,000 = $6x + $11y

$3,000 = $6x + $11(400 - x)

Expanding the equation:

$3,000 = $6x + $4400 - $11x

Combining like terms:

$3,000 = $-5x + $4400

Adding $5x to both sides:

$3,000 + $5x = $4400

Subtracting $3,000 from both sides:

$5x = $4400 - $3,000

$5x = $1400

Dividing both sides by 5:

x = $1400 / $5

x = 280

So, 280 students attended the play.

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Answer:

19x + 550n + 200

Step-by-step explanation:

Total cost of the skirts

\(7x + 150n + (2n + 1) \times 200 + 4 \times 3x \\ \\ = 7x + 150n + 400n + 200 + 12x \\ \\ = \purple{ \bold{19x + 550n + 200}}\)

We will be using the Angle Addition Postulate in this problem.

This states that if c is on the interior

of <ABD, then m<ABC + m<CBD = m<ABD.

Since m<ABC is 4x + 2, m<CBD is 3x - 7, and m<AVD is 100,

our equation will be 4x + 2 + 3x - 7 = 100.

Solving from here, we first simplify the left side to get 7x - 5 = 100.

Now add 5 to both sides to get 7x = 105.

Dividing both sides by 7, we find that x = 15.

Now we can use the value of x to help us find m<ABC.

Since the m<ABC is 4x + 2, we can substitute a 5 in for x.

This gives us 4(15) + 2 or 60 + 2 which is 62.

So m<ABC is 62°

Statistical power is a measure of the ability to reject the null hypothesis when it is false. It represents the probability of correctly identifying a true effect or relationship in a statistical hypothesis test.

A high statistical power indicates a greater likelihood of detecting a significant result if the null hypothesis is indeed incorrect. The power of a statistical test depends on several factors, including the sample size, the effect size (the magnitude of the true effect or difference), the chosen significance level (often denoted as α), and the variability or noise in the data. Increasing the sample size or effect size generally increases the statistical power, while a lower significance level or higher variability decreases it.

Power analysis is commonly used to determine an appropriate sample size for a study, ensuring that it is adequately powered to detect the desired effect. A higher power is desirable as it reduces the chances of a Type II error (failing to reject the null hypothesis when it is false) and increases the chances of correctly detecting real effects or relationships.

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Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

The eigenvalue of the state-space coefficient matrix [-1] is λ = -1.

To calculate the eigenvalue of the state-space coefficient matrix [-₁, we need to use the methods demonstrated in the lecture notes. Let's proceed with the calculation.

To find the eigenvalues, we need to solve the characteristic equation |A - λI| = 0, where A is the coefficient matrix, λ is the eigenvalue, and I is the identity matrix.

The coefficient matrix is:

[-1]

Subtracting λ from the diagonal elements, the characteristic equation becomes:

|[-₁ - λ]| = 0

Expanding the determinant, we have:

(-₁ - λ)(- λ) - ( - ₁)(0) = 0

Simplifying further:

(λ + ₁)(λ) = 0

The eigenvalues are the values of λ that satisfy this equation. From the equation, we can see that there are two eigenvalues: λ = -₁ and λ = 0.

Now, we need to determine the value of ₁ based on the given conditions. Since the eigenvalues are real and different, we take the smaller absolute value, which is 0. Therefore, ₁ = 0.

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Isotopes are creation of a chemical element with specific properties. They are different nuclear species (or nuclides) of the same element.

They are generated by the same atomic number (number of protons in their nuclei) and their position in the periodic table (and hence belong to the same chemical element), but they are different in nucleon numbers (mass numbers) due to different numbers of neutrons in their nuclei.

The periodic table is considered a space which comprises a table of the chemical elements which are arranged in order of atomic number, generally in rows, so that elements with similar atomic structure appear in vertical columns.
It is globally used in chemistry, physics, and other sciences, and is generally seen as an icon of chemistry. The periodic table is sub divided into four blocks, reflecting the filling of electrons into types of subshell. Here, the table columns are referred as groups, and the rows are referred as periods.
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The midpoint of the line segment with endpoints (-9, -20) and (14, 12) is (2.5, -4).

The midpoint of the line segment with endpoints (-4, -2) and (2, 6) is (-1, 2).

The midpoint of this line segment with endpoints (3, 4) and (0, 2) is (5, 3).

In order to determine the midpoint of a line segment with two (2) endpoints, you should add each endpoint together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

By substituting the given points into the formula for the midpoint of a line segment, we have the following;

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Midpoint = [(-9 + 14)/2, (-20 + 12)/2]

Midpoint = [(5)/2, -8/2]

Midpoint = (2.5, -4).

Based on the endpoints (-4, -2) and (2, 6), we have:

Midpoint = [(-4 + 2)/2, (-2 + 6)/2]

Midpoint = [(-2)/2, 4/2]

Midpoint = (-1, 2).

Based on the endpoints (3, 4) and (7, 2), we have:

Midpoint = [(3 + 7)/2, (4 + 2)/2]

Midpoint = [(10)/2, 6/2]

Midpoint = (5, 3).

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The smallest initial number that results in a win for Bernardo is 31.

Here's the breakdown of how the game would play out:

If Bernardo starts with any number less than 31, the final number will be less than 100 and Bernardo will win. Any number greater than 31 will result in Bernardo losing.

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Answer:

4.5=x*t

EX x=1,t=4.5

Step-by-step explanation:

4+5=2(xt1)

9=2(xt1)

4.5=x*t

Answer:

The square root of 4096 is 64. The cube root of 4096 is 16. The fourth root of 4096 is 8 and the fifth root is 5.2780316430916.

Step-by-step explanation:

The real fourth roots of 4096 are 8 and -8, as these values satisfy the equation \(x^4 = 4096\).

To find all the real fourth roots of 4096, we need to determine all the real values of x that satisfy the equation \(x^4 = 4096\).

The equation we need to solve is \(x^4 = 4096\).

To find the fourth root of 4096, take the positive and negative square roots of the positive value 4096.

Fourth root of 4096:

x = ±√4096

Simplify the square root.

√4096 = √(64 * 64) = √64 * √64 = 8 * 8 = 8

so, we get,

x = ±8

So, the real fourth roots of 4096 are 8 and -8, as these values satisfy the equation \(x^4 = 4096\).

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One glass contains 7,000 milligrams of protein.

One glass contains 7 grams of protein. In order to calculate how many milligrams of protein one glass contain, we have to remember that 1 gram equals 1,000 milligrams.

Thus, we can calculate the number of milligrams of protein in one glass as follows:

7 grams x 1,000 milligrams/1 gram = 7,000 milligrams

Therefore, one glass contains 7,000 milligrams of protein.

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The statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is false.

What is meant by probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

The given statement is:

"the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring."

This is a false statement.

The probability of the union of two events is the probability of individual events without considering the probability of the intersection of the events.

When the events do not have an intersection, then the probability of a union of events is greater than the probability of an intersection of events.

The chance of both occurrences occurring together is given by the union of two events, but the probability of both events occurring simultaneously is given by the intersection of two events, which is smaller than probability of union of events.

Therefore the statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is false.

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Answer:

AngleRST and AngleRSV

Step-by-step explanation:

You first draw the diagram with statement given

Answer:

a) RTS & RSV b) RST & TSU d) TSU & USV

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

b i think hsjshdidhdidjd