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3 years ago

A rectangle has an area of 82 ft2. What is the length if the width is 10 ft?

Mathematics

1 answer:

Luda [366]3 years ago

7 0

Answer:

187

Step-by-step explanation:

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How to solve this :') please help

blsea [12.9K]

Answer:

3/2

Step-by-step explanation:

sin(3π/4 - β) = sin(3π/4)cosβ - cos(3π/4)sinπ =

$\sin(\frac{3\pi}{4}-\beta)=\sin(\frac{3\pi}{4})\cos\beta-\cos\frac{3\pi}{4}\sin\beta\\=\frac{1}{\sqrt{2}}\cos\beta-(-\frac{1}{\sqrt{2}})\sin\beta\\\\=\frac{1}{\sqrt{2}}(\cos\beta +\sin\beta)\\\\\sin^2(\frac{3\pi}{4}-\beta)=\frac{1}{2}\cos\beta +\sin\beta)^2=\frac{1}{2}(\cos^2\beta +\sin^2\beta+2\sin\beta\cos\beta\\=\frac{1}{2}(1+\sin2\beta)=\frac{1}{2}(1-\frac{1}{5}) = \frac{2}{5}\\$

Use $\cot^2x=\csc^2x-1=\frac{1}{\sin^2x}-1$

$\cot^2(\frac{3\pi}{4}-\beta)=\frac{1}{\sin^2(\frac{3\pi}{4}-\beta)}-1 = \frac{1}{\frac{2}{5}}-1=\frac{5}{2}-1=\frac{3}{2}$

7 0

2 years ago

Hosea borrowed $20,000 to buy a new speed boat. The interest rate on his loan is 5%. If he plans to pay the loan back in three y

Anit [1.1K]

Answer:

a. Interest amount is $3,000.

b. Total cost is $23,000.

Step-by-step explanation:

a. How much interest will he pay

This can be calculated as follows:

Interest amount = Principal loan Amount * Interest rate * Number of years ........ (1)

Where;

Principal loan Amount = $20,000

Interest rate = 5%

Number of years = 3

Substituting the values into equation (1), we have:

Interest amount = $20,000 * 5% * 3 = $3,000

b. What will be the total cost that he will owe including interest?

Total cost = Principal loan Amount + Interest amount = $20,000 + $3,000 = $23,000

7 0

3 years ago

A classic counting problem is to determine the number of different ways that the letters of “dissipate” can be arranged. Find th

alexdok [17]

Answer:

90720 ways

Step-by-step explanation:

Since there are 9 letters, there are 9! ways to arrange them. However since there are repeating letters, we have to divide to remove the duplicates accordingly. There are 2 ‘s’ and 2 ‘i’ hence:

Number of way to arrange ‘dissipate’ = 9! / (2! x 2!) = 90720 ways

Hence there are 90720 ways to have the number of dissipate in the letter.

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3 years ago

H i here are some p o i n t s<br> have a great day everyone!!!!!!!!!!!!!!!!!!!!

jasenka [17]

Thank youuu i needed to answer questions so I can keep reposting my questions until someone answers them so ty for this :)

5 0

3 years ago

Read 2 more answers

Simplify the expression:<br> 6x - 4x + 12 - 1

Rus_ich [418]