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Fantom [35]
3 years ago
13

The area of a rectangular table top is 24 ft.² the length of the table is 2 feet longer than its width which equation could be u

sed to find the width of the table top?

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer: D) 24 = w^2 + 2w

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle (A) = length (L) x width (w)

Since:

Length = w+2

Substituting: L =w+2 in the formula:

A = (w+2) w

Replacing with the value given:

24 = (w+2)w

Applying distributive property:

24 = w^2 + 2w

Feel free to ask for more if needed or if you did not understand something.

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3 years ago
Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.
KengaRu [80]

We have the following expression

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})

This is equivalent to

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})

Since

\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi

we have that

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})

Therefore, the answer is the second option from top to bottom.

3 0
1 year ago
The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a
Leno4ka [110]
The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?

A. The letter t occurs less than 26 times on approximately 170 of these pages. 

B. The letter t occurs less than 26 times on approximately 15 of these pages. 

C. The letter t occurs more than 26 times on approximately 420 of these pages. 

D. The letter t occurs more than 26 times on approximately 80 of these pages.

.Answer: 
<span>mean = 44 </span>
<span>sd = 18 </span>
<span>that means that "26" is 1 s.d. down, or at the 16th %ile </span>


<span>so, there is a .16 chance that "t" will occur less than 26 times on any single page. </span>
<span>consequently, there is a .84 chance that it will occur more than 26 times on any single page. </span>

<span>Using that information, and knowing that 16% of 500 is 80, and 84% of 500 is 420, can you see where "C" is correct? </span>
4 0
3 years ago
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(12 points and brainliest!) A group of armed forces personnel were surveyed. The branch of service was recorded in the chart bel
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Answer:

43.2 degrees

Step-by-step explanation:

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165+135+60+130+10=500

2. Next, figure out how many the Marine Corps is out of those 500 people.

60/500= 0.12 =12%

3. Last, find out what degree the 12% would take up.

We know that a circle is 360 degrees. To find 12% of 360 degrees, you will do:

0.12*360=43.2

So, the answer is 43.2 degrees

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D. 0.75 is the correct answer 

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