A hinged lid opens 89 degrees. What type of angle is formed by the open lid?

Final answer:

The question involves finding the coordinates of the second endpoint of a line segment with a known length and one endpoint, which can be solved using the distance formula or the Pythagorean theorem. Two-dimensional path questions often require calculating straight-line distances by applying the Pythagorean theorem to right triangle setups. In coordinate geometry, the position vector describes a point's location, with its magnitude being the straight-line distance to the origin.

Explanation:

The student is likely asking to find possible coordinates for the other endpoint of a line segment with a known length and one given endpoint. To solve such problems, we typically use the distance formula, which is based on the Pythagorean theorem to determine the coordinates of the second point. For instance, if the line segment is horizontal or vertical, we would just add or subtract the length from the appropriate coordinate of the known endpoint. However, if the line segment is diagonal, we would need to determine the direction and apply the length as the hypotenuse of a right triangle, then calculate the second point's coordinates using trigonometric ratios or algebraic manipulations based on the Pythagorean theorem.

A two-dimensional path problem typically requires the use of the Pythagorean theorem to find the straight-line distance between two points, such as after walking a certain number of blocks east and north. By constructing a right triangle with the walked blocks forming the legs, the hypotenuse represents the straight-line distance.

The coordinates of a point in two or three dimensions can be interpreted as components of a vector, known as the position vector. This vector has both magnitude and direction, with its magnitude representing the straight-line distance from the point to the origin, calculable through the Pythagorean theorem by taking the square root of the sum of the squares of the coordinates.

The expanded algorithm and the standard algorithm are both methods used to multiply two numbers, but they differ in how the calculations are organized and performed.

The expanded algorithm and the standard algorithm are both methods used to multiply two numbers. They are alike in that they both involve multiplying the digits of the numbers together and then adding the products. For example, in the problem 4 x 57, both algorithms would multiply 4 by 7, then by 5, and then add the products together.

The difference between the two algorithms lies in the way they organize the calculations. The expanded algorithm separates the numbers into place values (ones, tens, etc.) and performs the multiplication and addition step by step. The standard algorithm, on the other hand, stacks the numbers vertically and performs the multiplication and addition in a more condensed and efficient way.

Overall, the expanded algorithm is often used as a stepping stone to understanding the concept of multiplication, while the standard algorithm is the more efficient method commonly used in practice.

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The solution is $ 46.80

The cost of the shipping of Aurelia's computer is $ 46.80

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given as

Let the cost of Aurelia's computer be = $ 585

And , the percentage of cost of shipping Aurelia's computer = 8 % of cost of computer

So , the cost of shipping is given by the equation ,

Cost of shipping the computer = percentage of cost of shipping Aurelia's computer x cost of Aurelia's computer

Substituting the values in the equation , we get

Cost of shipping the computer = 585 x ( 8/100 )

Cost of shipping the computer = 585 x 0.08

Cost of shipping the computer = $ 46.80

Therefore , the value of A is $ 46.80

Hence , The cost of the shipping of Aurelia's computer is $ 46.80

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The cost per day of renting a car from A-1 depends on various factors such as car type, rental duration, and additional fees. It is always a good idea to check with A-1 or the rental car company for accurate pricing information.

The cost per day of renting a car from A-1 can vary depending on the specific rental car company and location. Generally, the cost is determined by factors such as the type of car, duration of rental, and any additional fees or insurance coverage. For example, if you rent a compact car from A-1 for 3 days and the total cost is $150, then the cost per day would be $50. It is always recommended to check with A-1 or the specific rental car company for accurate pricing information.

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it's -4.6 not and -2.2

Answer:

D. x2 + (x + 7)2 = 169

Step-by-step explanation:

The taxi fare equation is F = 2.00 + 1.10m, where F is the total fare and m is the number of miles traveled.

The equation for taxi fare, which is $2.00 plus $1.10 per mile, can be represented in a linear equation form. Let F be the total fare, and m be the number of miles traveled. The equation that represents this scenario is:

F = 2.00 + 1.10m

The base fare of $2.00 is a fixed charge, while $1.10m indicates the variable charge, which depends on the number of miles traveled. To calculate the total fare for any given trip, you would multiply the number of miles by $1.10 and then add the base fare of $2.00.

To solve the equation m^2 + 8m + 16 = 45 using square roots, rearrange the equation to equal zero, substitute the values of a, b, and c into the quadratic formula, and calculate the solutions for m.

To solve the equation m^2 + 8m + 16 = 45 using square roots, we can rearrange the equation so that one side is equal to zero:
m^2 + 8m + 16 - 45 = 0.
Simplifying further, we have m^2 + 8m - 29 = 0.
Using the quadratic formula, which is x = (-b ± √(b^2 - 4ac))/(2a), where a = 1, b = 8, and c = -29, we can calculate the solutions for m.
Plugging in the values into the quadratic formula, we get m = (-8 ± √(8^2 - 4(1)(-29)))/(2(1)).
Simplifying further, we have m = (-8 ± √(64 + 116))/(2).
Summing up, the solutions for m are m = (-8 ± √180)/2.

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Answer:

Sanjay needs to make a score of 96% to have an overall average of 91%.

Step-by-step explanation:

Sanjay has already done six quizzes, whose qualification was of 96%, 89%, 92%, 77%, 100% and 87%, a total of 541 points, thus giving an average of 90.16%. In order to know which qualification should Sanjay reach to have an overall average of 91%, we have to do the following calculation:

(541 (total points of the six previous exams) + X (qualification that Sanjay should achieve)) / 7 (total amount of exams) = 91

(541 + X) / 7 = 91

541 + X = 91 x 7

541 + X = 637

X = 637 - 541

X = 96

Sanjay needs to make a score of 96% to have an overall average of 91%.

If recipe needs the dry ingredients: 1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips then  [tex]1\frac{1}{4}[/tex]  total cups of dry ingredients are in the recipe.

Two or more expressions with an Equal sign is called as Equation.

Given that a recipe needs the following dry ingredients:

1/4 cup of flour,3/4 cup of sugar, and 1/4 cup of chocolate chips

Flour=1/4

Sugar=3/4

Chocolate chips =1/4

We need to find the total cups of dry ingredients are in the recipe.

To find this we just needed to add all the ingreadients.

Flour+sugar+Chocolate chips

1/4+3/4+1/4

5/4

The improper fraction 5/4 can be written as [tex]1\frac{1}{4}[/tex]

Hence,  [tex]1\frac{1}{4}[/tex] total cups of dry ingredients are in the recipe.

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the correct answer would be 9.125x10^{10}

you're welcome :)

Answer:

Option D

Step-by-step explanation:

Let's explain why the Option D is correct :

This is a parabola equation with vertex at x = -8.

Despite that the "traditional equation" is [tex]$ y=x^2 + b $[/tex]  in this case  the parabola equation is plotted in the X axis and has a [tex]$ <= $[/tex] sign which indicates that X will take values less and equal than [tex]$ y^2 -8 $[/tex]

The graph of the parabola is attached to the answer.

This is a hyperbola equation with center at (0,0) and vertex's : V1=(3;0) and V2=(-3;0)

The two points (0;5) and (0;-5) on the Y axis are not on the hyperbola.

It's similar to the previous case of the parabola, Despite that the "traditional equation"  of the Hyperbola : [tex]$ {x^2 /{a^2}} - {y^2 / {b^2}} = 1 $[/tex]  in this case  the hyperbola  equation has a [tex]$ > $[/tex] sign which indicates that hyperbola will take values greater than those who correspond to [tex]$ {x^2 /{3^2}} - {y^2 / {5^2}} = 1 $[/tex]

The graph of the Hyperbola is also attached

Finally we deduce  that the  D system of inequalities is the correct one.

Also the answer is attached.

Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.

A cup is equal to 8 fluid ounces. If Kip has a 6-fluid-ounce bottle of lemon juice and the recipe calls for 1/4 cup, we need to convert 1/4 cup to fluid ounces. Multiplying 1/4 by 8 gives us 2 fluid ounces. So, Kip has 2 fluid ounces of lemon juice in the bottle. Now we can divide the total amount of lemon juice in the bottle by the amount required for each batch of the recipe, which is 2 fluid ounces. Therefore, Kip can make 3 batches of the recipe using the 6-fluid-ounce bottle of lemon juice.

Answer:

what the worls

Step-by-step explanation:

what the worls