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pishuonlain [190]
3 years ago
14

Convert 67 sq ft to sq in

Mathematics
1 answer:
lianna [129]3 years ago
4 0
67*12=804
804 inches=67 feet
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Analyze the diagram below and complete the instructions that follow. Find a, b, and c.
ahrayia [7]

Answer:

<u>The correct answer is the letter C. </u>

Step-by-step explanation:

We can use the following trigonometric identity:

cos(60)=\frac{6}{b} (1)

cos(45)=\frac{c}{b} (2)

Solving each equation by b and equaling we have:

\frac{6}{cos(60)}=\frac{c}{cos(45)}

\frac{6}{cos(60)}=\frac{c}{cos(45)}

Let's recall that:

cos(45)=\frac{1}{\sqrt{2}}

cos(60)=\frac{1}{2}

Then we have:

c=\frac{cos(45)*6}{cos(60)}

c=\frac{2*6}{\sqrt{2}}

c=\frac{12}{\sqrt{2}}

c=6\sqrt{2}

Using equation (1) we can find b.

cos(60)=\frac{6}{b}  

b=12      

Finally, we can find a using the next equation:

tan(60)=\frac{a}{6}

a=6*tan(60)

a=6\sqrt{3}

<u>Therefore, the correct answer is the letter C. </u>

I hope it helps you!

5 0
3 years ago
The following is a square, solve for x
QveST [7]

Answer:

6

Step-by-step explanation:

Multiply 7x+3 by 2. When you get 14x+6, set equal to 90 and solve for x.

7 0
3 years ago
I need help, please?
Drupady [299]

x is timed by .5 in the first one (A) which would make it the linear function.

6 0
3 years ago
Read 2 more answers
What is the midpoint of (4, 6) and (2, 10)?
Black_prince [1.1K]
I believe it is (3,8)
5 0
3 years ago
Read 2 more answers
Alex is building a rectangular fence around his yard. The total perimeter of the fence is 68 feet and the area of the yard is 24
pychu [463]

Perimeter (P) = 2L + 2w


68 = 2L + 2w


68 - 2L = 2w


2(34 - L) = 2(w)


34 - L = w


********************                                


Area (A) = L * w


     240 = L (34 - L)


     240 = 34L - L²


L² - 34L + 240 = 0


(L - 10)(L - 24) = 0


L = 10  or  L = 24


w = 34 - L   = 34 - 10   = 24      or      w = 34 - 24   = 10


Answer: width = 10, length = 24   assuming length is bigger than the width


6 0
3 years ago
Read 2 more answers
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