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3 years ago

Find the areas of the figures below. Show all work on for each problem.

Mathematics

1 answer:

kenny6666 [7]3 years ago

5 0

Answer:

310 in²

Step-by-step explanation:

Area of the figure = area of the larger rectangle + area of the medium rectangle + area of smaller rectangle

✔️Area of the larger rectangle = L*W

L = 20 in

W = 7 in

Area = 20*7 = 140 in²

✔️Area of the medium rectangle = L*W

L = 20 - 2 = 18 in

W = 22 - (10 + 7) = 5 in

Area = 18*5 = 90 in²

✔️Area of the smaller rectangle = L*W

L = 8 in

W = 10 in

Area = 8*10 = 80 in²

✅Area of the figure = 140 + 90 + 80 = 310 in²

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Very confused on this.... have a test tomorrow

Lostsunrise [7]

Answer:

ln(5/256)

Step-by-step explanation:

Step 1, do the stuff in parenthesis:

1/5 (2ln5 + 3ln5) - 8ln2 = 1/5 (5ln5) - 8ln2

Step 2, remove parenthesis and simplify:

1/5 (5ln5) - 8ln2 = ln5 - 8ln2

Step 3, use this formula-

8*ln2 = ln2^8 = ln256

-to get:

ln5 - 8ln2 = ln5 - ln256

Step 4, use another formula:

ln(A) - ln(B) = ln(A/B), so the answer is ln(5/256) TADA!

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4 years ago

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Lesechka [4]

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4 years ago

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

What is bigger 1/5 or -4

kaheart [24]

Answer:

1/5

Step-by-step explanation:

The best way to think about this is on a number line. -4 would be on the left of 0 meaning it is less than 0 and $\frac{1}{5}$ is on the right side of 0 but it is less than 1.

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Answer:

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Step-by-step explanation:

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