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2 years ago

A floor plan shows that a tiny house has a length of 40 feet and a width of 25 feet

Mathematics

1 answer:

Oduvanchick [21]2 years ago

3 0

Answer:

1000 square feet.

Step-by-step explanation:

to find the area, you multiply the length by the width

40*25=1000

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Solve the system of equations by substitution. What is the solution for x? 2x + y = 1 4x + 2y = −1

lapo4ka [179]

Solve your system of equations.

2x+y=1;4x+2y=−1

Solve 2x+y=1 for y:

2x+y+−2x=1+−2x(Add -2x to both sides)

y=−2x+1

Substitute (−2x+1) for y in 4x+2y=−1:

4x+2y=−1

4x+2(−2x+1)=−1

2=−1(Simplify both sides of the equation)

2+−2=−1+−2(Add -2 to both sides)

0=−3

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2 years ago

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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3 years ago

The graph y=e^x is transformed as shown in the graph blow which equation represents the transformed function ?

Ymorist [56]

Answer:

$y=e^x+3$

Step-by-step explanation:

y=e^x will go through (0,1). Since it goes through (0,4), then the function moves up 3 units. So we need to add 3 after e^x

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2 years ago

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Ahat [919]

It’s A. The first option. Also pls brainlist

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2 years ago

Geometry help, anyone???

vaieri [72.5K]

Answer:

Step-by-step explanation:

you will not incur a delivery charge because you live in the 25 mile radius, because your house is within the radius, so you wouldn't incur the delivery charge. when they say a 25 mile radius, that means in every direction.

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2 years ago

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