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polet [3.4K]
3 years ago
9

Students are painting the backdrop for the school play the backdrop is 15 feet wide and 10 feet high every 16 inches on the scal

e drawing represents 5 feet in the backdrop what is the area of the scale drawing
Mathematics
1 answer:
laiz [17]3 years ago
5 0
Actual:
15 ft wide and 10 ft high.

Area = 15ft * 10ft
Area = 150ft²

Scale drawing.
Every 16 inches represent 5 feet in the back drop.

15ft ÷ 5ft = 3 * 16 inches = 48 inches
10ft ÷ 5ft = 2 * 16 inches = 32 inches

Area = 48 in * 32 in
Area = 1536 in²

Area of the scale drawing is 1,536 square inch.
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Triangle DEF has vertices D(−4, 1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of
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Answer: D'(-14,1);\ E'(4,7);\ F'(4,1)

Step-by-step explanation:

Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

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The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given
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Answer:

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Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where \tau is the time constant and k = \frac{1}{\tau}

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\tau = \frac{1690\,yr}{\ln 2}

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The particular solution of the differential equation is:

m(t) = 10\cdot e^{-\frac{t}{2438.155} }

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