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3 years ago

Find the 100th term in the arithmetic sequence 0,5,10,15

Mathematics

1 answer:

Viktor [21]3 years ago

8 0

Answer:

easy peasy,

the 'n' th term of any arithmetic sequence can be found with the following formula

=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)

all in this case would be,

a = 0

n = 100

d = +5

hence the 100th term would be,

=> 0 + (100 - 1) 5

=> 99 x 5

=> 495

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3 years ago

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Artist 52 [7]

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The two column proof is presented as follows;

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2 years ago

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Answer:

2.5

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2 years ago

Someone please help me with this

Nadusha1986 [10]

Since 2 sides of the triangle are the same, it's an isosceles triangle.
That would also mean that the two angles are the same; 70 and 70.

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3 years ago

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You are constructing a concrete landing pad for a helicopter. You have 4704 cubic feet of concrete.

MAVERICK [17]

a) We have to calculate the height of the pad.

We know that the volume will be 4704 cubic feet.

We also know that the base of the pad is a square of side length 56 feet.

As the volume is the area of the base times the height, we can find the height by dividing the volume by the base area:

$\begin{gathered} V=A_b\cdot h \\ h=\frac{V}{A_b}=\frac{4704\text{ ft}^3}{(56\text{ ft})^2}=\frac{4704}{3136}\text{ ft}=1.5\text{ ft} \end{gathered}$

The height is 1.5 feet.

b) Now, we have a circular pad of which we know the height (1.5 feet) and the volume (4705 ft³). The area of the base will have to be the same as the are of the square: 3136 ft².

The area of this circular pad can be expressed as πD²/4, so we can calculate the diameter D as:

$\begin{gathered} A=3136 \\ \frac{\pi D^2}{4} \\ D^2=3136*\frac{4}{\pi} \\ D^2=3136*\frac{4}{3.14} \\ D^2=3994.9045 \\ D=\sqrt{3994.9045} \\ D\approx63.21 \end{gathered}$

The diameter is approximately 63.21 feet.

Answer:

a) The pad will be 1.5 feet thick

b) The diameter will be 63.21 feet.

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1 year ago