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3 years ago

Find the surface area.

Mathematics

1 answer:

Triss [41]3 years ago

3 0

Answer:

196 $ft^{2}$

Step-by-step explanation:

Surface are of 2 rectangles = 2(2*4) = 16 $ft^{2}$

surface are of the base rectangle = 4*3 = 12 $ft^{2}$

Area of tow triangles =2( $\frac{1}{2}$ * 2* 2)= 4 $ft^{2}$

total = 16+12+4

= 196 $ft^{2}$

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

The region bounded by y=x^2+1, y=x, x=-1, x=2 with square cross sections perpendicular to the x-axis.

VLD [36.1K]

Answer:

The bounded area is 5 + 5/6 square units. (or 35/6 square units)

Step-by-step explanation:

Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)

Such that f(x) > g(x) in the given interval.

This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).

We want to find the area bounded by:

f(x) = y = x^2 + 1

g(x) = y = x

x = -1

x = 2

To find this area, we need to f(x) - g(x) between x = -1 and x = 2

This is:

$\int\limits^2_{-1} {(f(x) - g(x))} \, dx$

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx$

We know that:

$\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}$

$\int\limits^{}_{} {1} \, dx = x$

$\int\limits^{}_{} {x^2} \, dx = \frac{x^3}{3}$

Then our integral is:

$\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2} + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3} + (-1) - \frac{(-1)^2}{2} )$

The right side is equal to:

$(4 + 2 - 2) - ( -1/3 - 1 - 1/2) = 4 + 1/3 + 1 + 1/2 = 5 + 2/6 + 3/6 = 5 + 5/6$

The bounded area is 5 + 5/6 square units.

3 0

2 years ago

Find the quotient. 28 over 0

Jlenok [28]

I am assuming 28/0. The short answer is that it is infinity. (Or they may want undefined)

Here is a bit longer explination:
Let's start by taking 28/1, that gives 28. What about 28/0.5 that gives 56, and as we keep decreasing the denominator closer to zero then the quotient will become larger and larger. We we reach zero, the quotient becomes so large that it is considered infinity.

5 0

3 years ago

Jason built a model of the Pentagon for a social studies project. He made each outside wall 33 centimeters long. What is the per

sammy [17]

Answer:

165 centimeters

Step-by-step explanation:

A pentagon has 5 sides

Each side is 33 centimeters long

5 x 33 = 165

8 0

3 years ago