The distance between the goals on a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field. What is the distance from the front at one end of the field to the front of the box at the other end of the field

The solution to the division of 0.623  by 0.07 is;

8.9

We want to divide 0.623 by 0.07.

This is;

0.623/0.07

Now, to solve this easily, let's make use of multiplication property of equality where if we multiply the numerator and the denominator by the same number, we will still get the same answer.

Let's multiply numerator and denominator by 100 to get;

(0.623 × 100)/(0.07 × 100)

⇒ 62.3/7

Dividing this gives us a final answer of; 8.9

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Answer:

The answer is D. p=7.50h

L'area del rettangolo in questione è 6449.5 cm quadrati, calcolata risolvendo l'equazione che unisce le due lunghezze date.

In questo problema matematico, siamo interessati a trovare l'area di un rettangolo. Sappiamo che la somma delle lunghezze dei due lati del rettangolo è 154 cm e che un lato è 5/6 della lunghezza dell'altro .

Possiamo iniziare ponendo x come la lunghezza più corta e 5x/6 come la lunghezza più lunga, in quanto è 5/6 della lunghezza di x. Sommando questi due valori, otteniamo l'equazione: x + 5x/6 = 154. Risolvendo questa equazione, otteniamo x = 88 cm.

Il lato più lungo del rettangolo sarà quindi 5/6 * 88, che è uguale a 73.33 cm. Per calcolare l'area del rettangolo, moltiplichiamo la lunghezza con la larghezza: 88 cm * 73.33 cm = 6449.5.

Quindi, l'area del rettangolo è 6449.5 cmquadrati.

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Answer:

5 1/3 hours

Step-by-step explanation:

Answer:

5 1/3 hours or 320 minutes

Step-by-step explanation:

To find the amount of white sugar if it were increased by a factor of 2 1/2, multiply the original amount by 2 1/2. The answer is A. 2 1/2 cups.

To find the amount of white sugar if it were increased by a factor of 2 1/2, we need to multiply the original amount by 2 1/2. Let's assume the original amount is x. Multiplying x by 2 1/2 gives us:

x × 2 1/2 = x × 2 + x × 1/2 = 2x + (1/2)x = (4/2)x + (1/2)x = (5/2)x

So, the amount of white sugar after it is increased by a factor of 2 1/2 is (5/2)x cups. This is equivalent to 2 1/2 times the original amount of white sugar. Therefore, the answer is A. 2 1/2 cups.

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The repeating decimal 7.2222222222... as a rational number is 7 2/9. The conversion involves setting the repeating decimal equal to x, scaling it by a power of 10, subtracting the original number, and then solving for x to find the equivalent fraction.

The number 7.2222222222..., when expressed as a rational number, is the fraction 7 2/9. To convert a repeating decimal to a fraction, you can use the following steps:

This process shows how to express the repeating decimal as a fraction and thereby convert it into a rational number.

Albrecht Dürer used the term 'net' to describe a pattern because of its geometric nature and the way it mirrors a literal fishing net, which can be both flat and three-dimensional. His background in printmaking and geometry likely influenced this descriptor, showing his dedication to precision and instruction in visual arts.

The term net used by Albrecht Dürer in 1525 refers to a pattern that when folded, creates a three-dimensional shape. Dürer, a prominent figure in the Northern Renaissance, was a master in various forms of visual art. He possessed expertise in painting, printmaking, and had an understanding of geometrical principles as well as the new technology of print. The use of the word 'net' to describe a flattenable 3D pattern aligns with Dürer's keen attention to detail, precision, and geometry in his artworks. His choice of the term could have been inspired by the resemblance of the interconnected lines in a pattern to a fishing net, which can be spread out flat but typically exists in a more complex, three-dimensional form.

Through his prints and craft manuals, Dürer contributed to the dissemination of knowledge on artistic techniques and the use of geometry in art. His detailed illustrations often acted as visual instructions, which would align with the concept of a 'net' aiding in the construction of a three-dimensional understanding of shapes and forms. The term might have been quite intuitive for someone with Dürer's graphical sensibility, as it connects the craft of design with a term that people could visualize and comprehend easily.

The selling price of the jacket is $36. so the correct option is B.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Given that store buys a jacket for $20.00 and then sells it to customers for 80% more than that.

We need to add 80% of $20 to $20.

Therefore, First we calculate 80% of $20.

80% of $20

= 80% x $20

= 0.80 x $20

= $16

So 80% of $20 is $16.

This is the amount the store adds to the cost called  as the markup.

Now we add the cost $20 and the markup $16.

$20 + $16 = $36

Thus The selling price is $36

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The relationship between Crystal's age and her height is determined by examining the ratios of age to height for different entries in the table. If the ratios are equal, then the relationship is proportional.

To determine if the relationship is proportional, compare the ratios of Crystal's age to her height for different entries in the table. If the ratios are equal, then the relationship is proportional. If the ratios are not equal, then the relationship is not proportional.

For example, if Crystal's age is 10 and her height is 50 inches, the ratio would be 10/50 = 0.2. If Crystal's age is 20 and her height is 100 inches, the ratio would be 20/100 = 0.2. Since the ratios are equal, the relationship between Crystal's age and her height is proportional.

The function f(x) = (1/2)^x accepts any real number as an input, so its natural domain is the set of all real numbers. However, the question specifies that the domain is all real numbers greater than 1/2, which might be due to the context in which this function is used.

The function f(x) = (1/2) x is a function that will accept any real number as an input. Therefore, the natural domain of this function would be the set of all real numbers. However, in your question, the function is given a specific domain, that is, all the real numbers greater than 1/2. This domain restriction might be due to the context in which this function is used.

Remember, the domain of a function is the set of all possible input values (x-values) that will give a valid output value (f(x)). For example, in the function f(x) = 1/x, the domain is all real numbers except zero because we cannot divide by zero.

In your function f(x) = (1/2)x, there is no value of x that will result in a not defined output, so unless stated otherwise, the domain is all real numbers. However, here we are given that the domain is all real numbers greater than 1/2.

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