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Nadusha1986 [10]
2 years ago
7

Lin and her brother each created a scale drawing of the backyard, but at different scales. Lin used a scale of 1 inch to 1 foot.

Her brother used a scale
of 1 inch to 1 yard. Express the scale for the drawings without units. Whose drawing is larger. Explain or show your reasoning
Mathematics
1 answer:
Gnom [1K]2 years ago
7 0
Idkidkodkidkidkidkidkidkidkidk
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The length of a rectangle is twice it’s width.The perimeter of the rectangle in 162 inches.How long is the rectangle?
Artist 52 [7]
The perimeter of a rectangle is all sides added  up, so length + length + width + width.

L = length

W = width

then the perimeter is L+L+W+W, or 2L + 2W, or 2(L+W).

\bf \textit{perimeter of a rectangle}\\\\
P=2(L+W)~~
\begin{cases}
P=162\\
L=\stackrel{\textit{twice W}}{2W}
\end{cases}\implies 162=2(2W+W)
\\\\\\
\cfrac{162}{2}=3W\implies 81=3W\implies \cfrac{81}{3}=W\implies 27=W

what's the length?  well, is just 2(27).
6 0
3 years ago
the hu family goes out for lunch, and the price of the meal is $43. The sales tax on the meal is 6%, and the family also leaves
Anna007 [38]

Answer:

Step-by-step explanation:

43.00x.06=2.58

43.00x.15=6.45

43.00+2.58+6.45=54.03

6 0
3 years ago
Evaluate 5a+3b and (5+a)(3+b) for a=2 and b=4. How is the order of the steps different for the two expressions?
Lynna [10]
5a+3b
5(2)+3(4)
10+12
22

(5+a)(3+b)
(5+2)(3+4)
(7)(7)
49

The order of the steps differ for the two expressions because for the first expression, you multiply 5a and 3b first. Then, you add them together. However, for the second expression, you add what's inside the parenthesis first then multiply them. So, the order of the steps is the opposite of the other expression. 
7 0
2 years ago
Which of the following is equivalent to 7^2•7^5•2^2/7^3•2^6
kondor19780726 [428]

When you add, you subtract the exponents. When you divide, you subtract the exponents.

When you have multiplication and division in one expression, you do it from left to right.

7^2 times 7^5 = 7^ (2+5) = 7^7

7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2

7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8

Put it in a calculator.

614656.

That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!

If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.

3 0
3 years ago
Given that sin 2x = cos(2x - 30). Find the value of tan x.​
Paul [167]

Answer:

x=30o+n90on∈Z

Step-by-step explanation:

cos2x=sin(90o−2x)=sin(2x−30o)

Which mean 90o−2x=2x−30o+n360o

or 90o−2x+2x−30o=(2n+1)180o

The later cannot be true.

so x=30o+n90on∈Z

4 0
2 years ago
Read 2 more answers
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