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Ymorist [56]
4 years ago
12

The perimeter of a rectangle is found by using the formula P = 2l + 2w, where P is the perimeter, l is the length and w is the w

idth. Use the formula and operations of equations to fill in the missing information on the table below. Complete your work in the space provided. Include the entire process for completing the table.

Mathematics
1 answer:
velikii [3]4 years ago
5 0

Answer:

#1: 11 cm

#2: 16.5 in

#3: 2.5 feet

Step-by-step explanation:

#1

P=2l+2w Solve for width by substracting 2l on both sides to isolate 2w

P-2l=2w

or

2w=P-2l

Replace.

2w=26-2(2)\\2w=26-4\\2w=22\\w=\frac{22}{2}\\ w=11cm

----------------------------------------------------------------------------

#2

P=2l+2w

P=2(3.5)+2(4.75)\\P =7+9.5\\P=16.5in

----------------------------------------------------------------------------

#3

P=2l+2w

Solve for l

2l=P-2w\\2l=7-2(1)\\2l=7-2\\2l=5\\l=\frac{5}{2}\\ l=2.5feet

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y-2=-1/2(x+2)

Step-by-step explanation:

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3 years ago
Pls answer this...its very important for me...i have an exam coming up...and this 2 questions will come up so pls help. I WILL M
tamaranim1 [39]

Answer:

a. x = 3

b. x = 3

Step-by-step explanation:

Given

\frac{4^{2x}}{4^x} = 64

(2^{2x}) = 64

Required

Find x

Solving \frac{4^{2x}}{4^x} = 64

From laws of indices;

\frac{a^{m}}{a^n} = a^{m-n}

So;

4^{2x-x} = 64

4^{x} = 64

Write 64 in base of 4

4^{x} = 4^3

From laws of indices;

if\ x^a = x^b;\ then\ a = b

So; x = 3

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Write 64 as a base of 2

(2^{2x}) = 2^6

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3 0
3 years ago
The angle of depression from a lighthouse to a boat in the water is 14 degrees. If the boat is 532 feet from the base of the lig
MA_775_DIABLO [31]

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Step-by-step explanation:

6 0
3 years ago
Consider the points R and S in the figure. How many different lines pass through both R and S? Explain.
OLga [1]

Answer:

  1

Step-by-step explanation:

Two distinct points define exactly one line.

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3 years ago
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ratelena [41]

Answer:

Number of year = 25 year and 7 month (Approx.)

Step-by-step explanation:

Given:

Amount deposit = $200,000

Future amount = $1,000,000

Rate of interest = 6.5%

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Number of year

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Using compound amount formula;

A = P[1+r]ⁿ

1,000,000 = 200,000[1+6.5%]ⁿ

1,000,000 / 200,000 = [1+6.5%]ⁿ

5 = [1+0.065]ⁿ

n = 25.557

Number of year = 25.557

Number of year = 25 year and 7 month (Approx.)

7 0
3 years ago
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