Ally is making a scale diagram of her classroom. She uses a scale factor of 3 centimeters per foot to draw the diagram. The actual length of the classroom is 18 feet, and its width is 20 feet. What is the area of the scale drawing of the classroom?

Answers

Answer 1
Answer:

Answer: 3240\ cm^2

Step-by-step explanation:

Given: The actual length of the classroom= 18 feet

The actual width of the classroom= 20 feet

Scale factor =3 centimeters per foot

i.e. 1 foot = 3 cm

Therefore, The length of the classroom in drawing= 3*18=54\ feet

The width of the classroom in drawing= 3*20=60\ cm

Now, the  area of the scale drawing of the classroom :-

l* w=54*60=3240\ cm^2

Hence, the area of the scale drawing of the classroom =3240\ cm^2

Answer 2
Answer:

Answer:  

        3240 cm. sq.                   is your answer


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Write the equation of line perpendicular to y = 4 that passes through (5, 2).

Answers

Answer:

x= -5

Step-by-step explanation:

just graphed it . y = 4 is a flat horizontal line.

x=5 is a vertical line that passes through (5,2)

Final answer:

The equation of the perpendicular line is x = 5.

Explanation:

To find the equation of a line perpendicular to y = 4 that passes through the point (5, 2), we need to determine the slope of the original line. The equation y = 4 represents a horizontal line with a slope of 0. Perpendicular lines have slopes that are negative reciprocals of each other. The negative reciprocal of 0 is undefined, so the equation of the perpendicular line will be x = 5.

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Evaluate ∫ e3x cosh 2x dx A. 1/2e5x + 1/2ex + C B. 1/10e5x + 1/5 x + C C. 1/10e5x + 1/2ex + C D. 1/4e3x + 1/2 x + C

Answers

∫ e^(3x)*(cosh(2x)dx

= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx

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50/8 converted as a mixed number

Answers

50/8

Simply divide 8 into 50. That is 6.  Because 8 *6 = 48.

There would be a remainder of 2.

So  50/8 =  6 whole number    2/8.

 So the answer =    6 whole number  2/8.      As mixed fraction.

You can reduce the 2/8 to 1/4.

So  6 whole number  1/4  is also correct.
6 1/4 because do 50÷8=6 (remainder: 2) 

So it is 6 2/8. Simplify it and it will be 6 1/4.

Find the area of a regular hexagon with the given measurement48-inch perimeter
A = sq. in.

Answers

Answer

Area of a regular hexagon is given by:

A = (3√(3))/(2)a^2            .....[1]

where,

A is the area of a regular hexagon

a is the side of the hexagon.

As per the statement:

Perimeter of a regular hexagon is 48 inch.

Perimeter(P) of a regular hexagon is given by:

P=6a

Substitute the given values we have;

48 = 6a

Divide both sides by 6 we have;

8 = a

or

a = 8 inch.

Substitute the value of a = 8 inches  in [1] we have;

A = (3√(3))/(2)(8)^2

A = 3√(3) \cdot 32 = 96√(3)

Therefore, the area of a regular hexagon isA = 96√(3) sq. in

Area = (3 √(3) )/(2) s^(2) \n \n (48)/(6) = 8=s \n \n Area =(3 √(3) )/(2) 64 \n \n Area =166.28

Fill in the blank. In the triangle below, z = _____.

Answers

Well, for any triangle the angles inside of it will add up to 180...
So the square in the corner of the triangle means its a right angle, meaning its 90 degrees.
If we add 90 and 42 together that equals 132.
180 minus 132 equals 48.
This meaning that angle z is 48 degrees.

Answer: z = 48 degrees

In the triangle given, the missing angle z = 48°

What is the sum of angles in a right-angle triangle?

The sum of angles in a right-angle triangle is 180°. To calculate a missing angle in the right angle triangle, we have to sum up the given angles and equate it to 180°.

From the given information, we have:

90° + 42° + z = 180°

132° + z = 180°

z = 180° - 132°

z = 48°

Therefore, we can conclude that the missing angle z = 48°

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Jina drove 693 miles in 11 hours at the same rate how many miles would she drive in 7 hours

Answers

693 / 11 =  63, she drives 63 miles per hour.
63 x 7 = 441.

So she would drive 441 miles in 7 hours if going at the same speed of 63mph.