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Licemer1 [7]
2 years ago
5

A regulation soccer field has an area of 59,400 square feet. If the length is 330 feet, what is the width in feet

Mathematics
1 answer:
zvonat [6]2 years ago
8 0

To find the width of a rectangle when given the area and length, divide the area by the length:

Width = 59,400 / 330 = 180 feet

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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
Read 2 more answers
Convert 12 cups to quarts
Trava [24]

Answer: 3 quarts

using the information 1 cup = 0.25 quarts, we can use dimensional analysis or a conversion factor to find the number of quarts in 12 cups.

start by expressing x as your unknown value being the number of quarts

there are 3 quarts in 12 cups

Step-by-step explanation:

7 0
3 years ago
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What value of c makes x2 − 24x + c a perfect square trinomial?<br><br> −144<br> −48<br> 48<br> 144
NARA [144]
I believe that the answer is 144 

8 0
3 years ago
Read 2 more answers
Which expression can be used to find the area of a circle with a diameter of 80 cm?
ycow [4]
Its D............................
8 0
3 years ago
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are
valkas [14]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?

a. The data are skewed left, so most student's practice times are more than the mean practice time.

b. The data are skewed left, so most student's practice times are less than the mean practice time.

c. The data are skewed right, so most student's practice times are less than the mean practice time.

d. The data are skewed right, so most student's practice times are more than the mean practice time.

Answer:

The correct option is a.

The data are skewed left, so most student's practice times are more than the mean practice time.

Step-by-step explanation:

Refer to the attached box plot which shows number of hours the students spent on practice for playing their instrument each week.

When the data distribution is not symmetric around the mean then it is either skewed to right or skewed to left.

The given box plot is skewed to the left since the tail of the distribution on the left side is longer than the right side or in other words, most of the data is leaning to the right side of the curve.

Due to this, most student's practice times are more than the mean practice time.

A left skewed distribution is also known as negatively skewed distribution.

Therefore, we can conclude that the correct option is a.

a. The data are skewed left, so most student's practice times are more than the mean practice time.

4 0
3 years ago
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