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4 years ago

Crystal drew a quadrilateral with two sets of parallel, equal sides. Which shape did she draw ?

Mathematics

1 answer:

frosja888 [35]4 years ago

6 0

Rectangle..... she was drawin a rectangle.
hope it helps!

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A transformation describes a change in location, orientation, or size of a figure. Translations, reflections, and rotations belo

marshall27 [118]

Answer: These are called rigid transformations because the structure and shape of the shape remains the same.

Step-by-step explanation: The word rigid and rigidity is often used to describe something that is tough or the strength of something. The transformations might be called a rigid transformation because the rigidity of the shape remains the same because the size is the exact same, it is the exact same shape it is just moved.

3 0

3 years ago

Find the dimensions of a cylinder of volume 17 m3 of minimal cost if the top and bottom are made of material that costs twice as

Viefleur [7K]

Answer:

The answer is below

Step-by-step explanation:

The volume of the cylinder with radius (r) and height (h) is given as:

Volume = πr²h

17 = πr²h

h = 17 / πr²

Let k represent the cost of the side and 2k the cost of the bottom.

The area of the side = 2πrh, hence the cost of the side = k(2πrh)

The area of the top and bottom = 2πr², hence the cost of the top and bottom = 2k(2πr²)

The total cost (T) = cost of side + cost of the top and bottom

T = k(2πrh) + 2k(2πr²)

T = 2kπ(rh + 2r²)

Put h = 17/πr²

T = 2kπ (r×17/πr² + 2r²)

T = 2kπ(17/πr + 2r²)

The minimal cost is at dT/dr = 0

$\frac{dT}{dr} =0=\frac{d}{dr} [2k\pi(\frac{17}{\pi r} +2r^2)]\\\\4r-\frac{17}{\pi r^2} =0\\\\4r=\frac{17}{\pi r^2}\\\\r^3=\frac{17}{4\pi }=1.35\\\\r=\sqrt[3]{1.35}\\\\r=1.1\ m\\\\h=\frac{17}{\pi r^2} =\frac{17}{\pi (1.1)^2} \\\\h=4.42\ m$

5 0

3 years ago

ann arranges her marbles in groups, with 8 marbles in each group. She writes the fraction 5/8 to show the fraction of marbles in

DerKrebs [107]

If there are 8 marbles in a group , and 5 out of every 8 is red, than in six groups there would be 5, 10, 15, 20, 25, 30 red marbles.

This lists the group of 6 sets.

30 red marbles in 6 sets.

8 0

4 years ago

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?

natta225 [31]

Answer:

Polynomials of degree 8 have exactly 8 roots

Step-by-step explanation:

The Fundamental Theorem of Algebra states that every polynomial of degree n

$P(x)=a_0+a_1x+a_2x^2+...+a_nx^n$

with

$a_n\neq 0$

has exactly n roots.

But the roots may be complex numbers.

In your case n=8, so polynomials of degree 8 have exactly 8 roots.

The roots need not be different.

For example, for the polynomial

$x^2-4x+4$

x=2 is root twice.

6 0

3 years ago

Read 2 more answers

A big cruise ship dropped anchor off the Caribbean island of Antigua. The heavy anchor dropped into the water at a rate of 2.5 2

aleksandr82 [10.1K]

Answer:

29 seconds

Explanation

anchor dropped in to water at the rate = 2.5 m/s

so for one second = 2.5 m

so for 45 sec= 2.5 x 45 = 112.5 m

but it was already 40 m under water, so it have fallen from= 112.5-40= 72.5 m

so as we know the rate of falling was =2.5 m/s

so for 72.5 meter, it took = 72.5 /2.5= 29 sec

it took for anchor to get down to the water surface after it started dropping.

4 0

3 years ago