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Vadim26 [7]
3 years ago
13

Please answer correctly! I will mark you as Brainleist!

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

square pyramid

Step-by-step explanation:

you name a shape by its bases

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Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.
Elina [12.6K]

The first four-term of the sequence is found by the given equation a_{n-1} = 4a_n is given as 144, 36, 9, and 9/4.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The given equation will be

\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n

And

a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}

For n = 4, we have

\rm a_{4-1} = 4a_4\\\\a_3 \ \ \  = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9

For n = 3, we have

\rm a_{3-1} = 4a_3\\\\a_2 \ \ \  = 4*9 \\\\ a_2 \ \ \ = 36

For n = 2, we have

\rm a_{2-1} = 4a_2\\\\a_1 \ \ \  = 4*36 \\\\ a_1 \ \ \ = 144

More about the sequence link is given below.

brainly.com/question/21961097

7 0
2 years ago
The rectangle shown has a perimeter of 44cm and the given area. Its length is 4 more than its width. Write and solve a system of
nasty-shy [4]

Answer:

Hope it helps◉‿◉Have a nice day.

6 0
3 years ago
In a deck of cards, 8 are yellow, 14 are blue, and 12 are green. What is the ratio of yellow to blue?
Sati [7]

Answer:

B: 8:14

Step-by-step explanation:

Its because there are 8 yellow one out of 14 blue ones pls mark me brainliest

4 0
3 years ago
Read 2 more answers
I am redesigning a rectangular prism in geometry where I have to minimize the surface area while maintaining the same volume. I
Romashka [77]

Strategy:

You will need to make use of the formulas for volume and area of the shapes you have chosen.

... volume of a sphere = (4/3)πr³

... area of a sphere = 4πr²

You will have to use the volume equation to find the radius of the sphere with the desired volume. Then use the area formula to verify the area is smaller than for your rectangular prism. (A sphere has the smallest surface area for a given volume of any figure.)

___

For your pyramid, it's a bit more complicated. You can use the formula for volume to find a relationship between the side length and the height. Then you can solve for height and put that expression into the equation for surface area. Now, you have an equation for surface area as a function of side length, which you can use to choose side lengths that give surface area in the range you want. You may find a graphing utility to be helpful for this.

... volume of a pyramid = (1/3)b^2h . . . . . b is the edge length of the base; h is the verical height.

... area of a pyramid = b^2 + 2bs, where s is the slant height: s=√((b/2)^ +h^2)

___

The cylinder is solved essentially the same way the pyramid is solved, except the formulas are slightly different.

... volume of a cylinder = πr²h

... area of a cylinder = 2πr² + 2πrh

Numbers:

If I did it right, a pyramid with a base edge length of 4 or 5 inches (or somewhere between) should give a smaller surface area for the volume you want.

For the cylinder, the radius may be around 2 or 2.1 inches.

5 0
3 years ago
Robert climbed 775 steps in 12 1/2 minutes.
Svetllana [295]

Answer:

I don't really understand what the question you are asking is, is there a question that goes along with this?

5 0
3 years ago
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