A field has an area of 9/20 square mile. Find the width of the field if the length is 9/10 mile long.

Answers

Answer 1

Answer:

The area of this rectangle is 9/20 miles squared, then the width of the rectangle exists 1/2.

What is the length of a rectangle called?

A rectangle is a shape with only two dimensions. It is a quadrilateral whose opposite sides are each the same length and parallel, and whose four interior angles are each 90° (circ). As an equiangular quadrilateral, it is also known. The length and width of a rectangle are its longer and shorter sides, respectively.

To find the area of a rectangle:

a = l × w

Where l is the length and w is the width.

length: A= 9/10 miles

Area: w = 9/20 miles

Area = length × Width

9/20 miles = 9/10 miles × Width

Width = (9/20 miles) / (9/10 miles)

simplifying the above equation, we get

$=(9 \cdot 10)/(20 \cdot 9)$$

= 10/20

Cancel the numbers: 10/20 = 1/2

= 1/2

Therefore, the area of this rectangle is 9/20 miles squared, then the width of the rectangle exists 1/2.

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Answer 2

Answer:

Width=Area/Length

Area=9/20(.45)

Length=9/10(.9)

w=.45/.9

w=1/2

Therefore, the width is 1/2(.5)

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Subtract – 7x – 9 from - 4x2 + 3x – 5.

Answers

Answer:

-4x² + 10x + 4

Step-by-step explanation:

(-4x² + 3x - 5) - (-7x - 9)

-4x² + (3x - -7x) + (-5 - -9)

-4x² + (3x + 7x) + (-5 + 9)

-4x² + 10x + 4

Final answer:

To subtract – 7x – 9 from - 4x² + 3x – 5, we change the signs of all the terms in the second expression and then combine like terms. The final answer is -4x² + 10x + 4.

Explanation:

To subtract – 7x – 9 from - 4x² + 3x – 5, you simply replace the minus sign before the second expression (– 7x – 9) with a plus sign, and then change the signs of all the terms in that expression. This is analogous to the subtraction of scalars, where for example, 5–2 equals 5+(-2).

Thus, the expression becomes: -4x² + 3x - 5 + 7x + 9. Now, you simply combine like terms. The 3x and 7x can be combined to get 10x, and -5 and 9 can be combined to get 4. The final answer is -4x² + 10x + 4.

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You read 50 pages in an hour. Your sister reads 40 pages in an hour. Explain how to find out how many more pages you read than your sister reads in 1/2 hour?A. I know that 50 • 40 = 2,000, so I read 1,000 more pages than my sister reads in 1/2 hour.
B. I know that 50 ÷ 40 = 5454, 5 ÷ 4 = 1 1/4, so I read 1 1/4 more pages than my sister reads in 1/2 hour.
C. Because I read 10 more pages than my sister reads in 1 hour, I read 5 more pages in 1/2 hour.
D. Since 5 • 4 = 20, I read 20 more pages than my sister reads in 1/2 one half hour.

Answers

C because you have to do 50÷2=25 and 40÷2=20 and 20-25=5

What can be represented by the expression -3 + 3?

Answers

Answer: Zero

Step-by-step explanation:

If you calculate -3 + 3 you get the answer of zero. Not sure if there is more to the problem.

Answer is Zero. Hope this helps ;)

Emmett participated in a race. During the race, he ran 5 miles north and then ran 12 miles west. What is the shortest distance that Emmett must travel to return to the starting point?

Answers

I'd suggest you sketch this situation. If you did, you'd likely see right away that the shortest distance back to the starting point would be the hypotenuse of the right triangle whose legs are of lengths 5 miles and 12 miles.

Apply the Pythagorean Theorem to solve this.

Helppppp..............

Answers

Answer:

Step-by-step explanation:

I am not sure if this correct since I used my notes.

What are the solutions to the equation x2 + 6 = 87? A. –9 and 9 B. –10 and 10 C. –6 and 6 D. The equation has no solutions.

Answers

$x^2 + 6 = 87 \ \ | -87\n \nx^2 + 6 -87 = 0 \n \n x^2 -81 = 0 \n \n(x+9)(x-9)=0 \n \n x+9 =0 \ \ \vee \ \ x-9 =0 \n \n x= -9 \ \ \vee \ \ x= 9 \n \n\nAnswer : \ A.) \ \ -9 \ \ and \ \ 9$

$a^2 - b^ 2 =(a-b)(a+b)$

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