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3 years ago

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Mathematics

1 answer:

Rainbow [258]3 years ago

4 0

Answer:

Step-by-step explanation:

hope this helps

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The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the

Scilla [17]

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0 ⇒

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

Since, the width cannot be a negative number, the width of the field is 120 feet.

6 0

3 years ago

Read 2 more answers

A laboratory experiment requires 2400 milligrams of sugar. How many kilograms of sugar does the experiment require?

telo118 [61]

Answer:

0.0024

Step-by-step explanation:

1 killogram=1000000

5 0

3 years ago

A rectangle has vertices (8, 6), (4, 6), (8, −4), and (4, −4). What are the coordinates after dilating from the origin by a scal

Mama L [17]

Answer: (12,9), (6,9), (12,-6) and (6,-6)

Step-by-step explanation:

Given: The coordinates of the original rectangle are (8, 6), (4, 6), (8, −4), and (4, −4). We know that the coordinates of the image after dilation from the origin by a scale factor of k is given by:_

$(xy)\rightarrow(kx,ky)$

Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_

(8, 6)→ $(8\times1.5,6\times1.5)=(12,9)$

(4, 6)→ $(4\times1.5,6\times1.5)=(6,9)$

(8, −4) → $(8\times1.5,-4\times1.5)=(12,-6)$

(4, −4)→ $(4\times1.5,-4\times1.5)=(6,-6)$

Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).

3 0

3 years ago

What is the least angle measure by which this figure can be rotated so that it maps onto itself?

Morgarella [4.7K]

C, 180 i would guess without a picture. do you have a photo of the figure?

7 0

3 years ago

Read 2 more answers

Hi can you help me please?)

Ad libitum [116K]

<em>To solve for a variable, you just need to isolate the variable to one side.</em>

For this, just divide both sides by r and <u>your answer will be $\frac{d}{r}=t$ </u>

For this, divide both sides by nR and <u>your answer will be $\frac{PV}{nR}=T$ </u>

Firstly, multiply both sides by T: $AT=FV-OV$

Next, subtract FV on both sides of the equation: $AT-FV=-OV$

Lastly, multiply both sides by -1, and <u>your answer will be $-AT+FV=OV$ </u>

Firstly, multiply both sides by 1000: $1000C=Wtc$

Lastly, divide both sides by tc and <u>your answer will be $\frac{1000C}{tc}=W$ </u>

8 0

4 years ago

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