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DochEvi [55]
3 years ago
15

What is the area of the building below? *

Mathematics
1 answer:
larisa [96]3 years ago
3 0
You’ll need to split the shape into 2 rectangles then find the area of both the rectangles and add them together.
30*10=300
20*10=200
area=500
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Solve the equation: 10^5÷10^3 = _____
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Answer:

100

Step-by-step explanation:

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10^3= 1,000

100,000÷1,000= 100

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Answer:

Step-by-step explanation:

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7 more than 5 times a number is 122
Luba_88 [7]

Answer:

The number is 23.

Step-by-step explanation:

5n + 7 = 122               Subtract 7 on both sides

     5n = 115                 Isolate the variable by dividing 5 on both sides

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<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please mark this as brainliest!!! </em></u></h3><h3><u><em>Thank You!!! </em></u></h3><h3><u><em>:)</em></u></h3>
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3 years ago
What is the most simplified version of the expression shown below?
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4 0
3 years ago
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Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 7y = sin(x)
Elza [17]
The first thing we must do in this case is find the derivatives:
 y = a sin (x) + b cos (x)
 y '= a cos (x) - b sin (x)
 y '' = -a sin (x) - b cos (x)
 Substituting the values:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
 We rewrite:
 (-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
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 sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
 From here we get the system:
 -b-8a = 1
 a-8b = 0
 Whose solution is:
 a = -8 / 65
 b = -1 / 65
 Answer:
 
constants a and b are:
 
a = -8 / 65
 
b = -1 / 65
4 0
3 years ago
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