Answer:
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=
The width of the classroom in drawing=
Now, the area of the scale drawing of the classroom :-
Hence, the area of the scale drawing of the classroom =
Answer:
3240 cm. sq. is your answer
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)
The equation of the perpendicular line is x = 5.
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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∫ e^(3x)*(cosh(2x)dx
= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx
= ∫ [(e^(5x)+e^x)/2]dx
=e^(5x)/10+e^x/2+C
=(1/10)(e^(5x)+5e^x)+C
A = sq. in.
Answer
Area of a regular hexagon is given by:
.....[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:
Substitute the given values we have;
Divide both sides by 6 we have;
or
a = 8 inch.
Substitute the value of a = 8 inches in [1] we have;
⇒
Therefore, the area of a regular hexagon is sq. in
In the triangle given, the missing angle z = 48°
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°
Learn more about calculating the sum of angles in a triangle here:
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