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Alina [70]
3 years ago
5

A farmer wants to plant an apple orchard. His design consists of 10 rows of trees, where each row is 29.79 feet long. When he ge

ts to the nursery, the sales clerk tells him that each tree has to be planted 6 feet apart. Use estimation to calculate the number of trees required for this project.
Mathematics
1 answer:
Elis [28]3 years ago
7 0
First divide 29.79 feet by 6
\frac{29.79}{6} = 4.97
But since you can't plant only a fraction of a tree, you can plant a maximum of 4 trees per row.
Now there are ten rows so...
10×4 = 40
You can plant 40 trees at the maximum.
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How do you this question (pre-cal)
Novay_Z [31]

The goal to proving identities is to transform one side into the other. We can only pick one side to transform while the other side stays the same the entire time. The general rule of thumb is to transform the more complicated side (though there may be exceptions to this guideline).

So I'll take the left hand side and try to turn it into \csc^2( B )

One way we can do that is through the following steps:

\frac{\tan(B) + \cot(B)}{\tan(B)} = \csc^2(B)\\\\\frac{\tan(B)}{\tan(B)} + \frac{\cot(B)}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\frac{1}{\tan(B)} = \csc^2(B)\\\\1 + \cot(B)*\cot(B) = \csc^2(B)\\\\1 + \cot^2(B) = \csc^2(B)\\\\1 + \frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)}{\sin^2(B)}+\frac{cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{sin^2(B)+cos^2(B)}{\sin^2(B)} = \csc^2(B)\\\\\frac{1}{\sin^2(B)} = \csc^2(B)\\\\\csc^2(B)=\csc^2(B) \ \ {\Large \checkmark}\\\\

Since we've shown that the left hand side transforms into the right hand side, this verifies the equation is an identity.

4 0
3 years ago
4x^2-12x-1=0 in quadratic form
Tom [10]

Answer:

Step-by-step explanation:

8 0
3 years ago
Add 3/14+4/14 simply your answer
Mila [183]

Answer:

\Large \boxed{\frac{1}{2}}

Step-by-step explanation:

\displaystyle \frac{3}{14} +\frac{4}{14}

Add the fractions since the denominators are the same.

\displaystyle \frac{3+4}{14}

\displaystyle \frac{7}{14}

Simplifying the fraction.

\displaystyle \frac{7(1)}{7(2)}

\displaystyle \frac{1}{2}

5 0
3 years ago
Simpify the expression.<br>5+4z-2z<br><br>Simpilfied expression ​
Dafna11 [192]

Answer:

2z + 5

Step-by-step explanation:

you have to combine like terms

subtract 4z - 2z and you get 2z

the number with the variable next to it goes first not the constant

2z + 5

the variable is z and the constant is 5 because it doesn't have variable next to it

hope this makes sense and helps :)

tell me if you have any questions

4 0
2 years ago
Read 2 more answers
Jane earns a 5.5% commission on the selling price of each home she sells. She earned $9,020 in commission on the sale of a home.
ratelena [41]

Answer:

"$164000" is the appropriate answer.

Step-by-step explanation:

Let the selling price be "s".

As per the question,

If Jane take 5.5% of selling price i.e.,

= 0.055\times s

Given commission,

= $9,020

then,

The selling price will be:

⇒ 0.055\times s=9020

                s=\frac{9020}{0.055}

                   =164000 ($)    

6 0
2 years ago
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