2 years ago

Should a quadrilateral have at least one pair of parallel sides?

Mathematics

1 answer:

Taya2010 [7]2 years ago

6 0

Answer:

it have two parallel sides

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The question is in the picture (Alegbra 1)

olchik [2.2K]

Answer:

$\frac{s}{s + 3}$

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2 years ago

The length of a swimming pool is 8m longer than its width and the area is 1o5m2?

Nina [5.8K]

Let the breadth be x
length=x+8
according to the question
area of the pool = l*b
105=x*x+8
if u solve this equation further u will get the answer

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2 years ago

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Find the volume of the solid generated when R (shaded region) is revolved about the given line. x=6−3sec y, x=6, y= π 3, and

Dmitrij [34]

Answer:

$V=9\pi\sqrt{3}$

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

$V=\int\limits^b_a {\pi r^{2}} \, dy$

where:

$r=6-(6-3 sec(y))$

$r=3 sec(y)$

a=0

$b=\frac{\pi}{3}$

so the volume becomes:

$V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy$

This can be simplified to:

$V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy$

and the integral can be rewritten like this:

$V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy$

which is a standard integral so we solve it to:

$V=9\pi[tan y]\limits^\frac{\pi}{3}_0$

so we get:

$V=9\pi[tan \frac{\pi}{3} - tan 0]$

which yields:

$V=9\pi\sqrt{3}$ ]

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2 years ago

Which expresses 2700 : 4000 as a decimal?

Naddik [55]

The answer is 0.675. 2700:4000 is a ratio that can be expressed as 2700/4000 = 27/40 = 0.675

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2 years ago

A tree is 14 feet tall. it casts a shadow 20 feet long. if nearby building casts a shadow 15 feet long, how tall is the building

pentagon [3]

My guess is that the building is 10 feet tall

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2 years ago

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