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3 years ago

Write an explicit formula for an, the nth term of the sequence 8, 16, 24, ....

Mathematics

1 answer:

Vanyuwa [196]3 years ago

5 0

Answer:

For an nth term U(n) = a + (n -1)d

n = number of terms

a = first term

d = common difference

a = 8

d = 16 - 8 = 8

U(n) = 8 + (n-1)8

= 8 + 8n - 8

= 8n

The formula for the sequence is 8n

Hope this helps.

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Navigators locate an object by measuring its location clockwise direction from due north. The measure of the angle is called the

kotegsom [21]

Answer:

<em>Refer to attached.</em>

Part 1

Since bearing is taken from north, i.e. 90°, this will be represented by -45° on the units circle.

Part 2

The ordered pair is: (0.707, -0.707)

Part 3

sin (-45°) = -√2/2
cos (-45°) = √2/2
tan (-45°) = -1

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3 years ago

The four cities on the map below form a square. About how many miles is the most direct route from Washington to Springfield?

natali 33 [55]

Answer:

Step-by-step explanation:100 miles down the middle when you do pythagorean thearom.

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3 years ago

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Find the area and the circumference of a circle with Diameter 6 yd . Use the value 3.14 for pi , and do not round your answers .

Maurinko [17]

Step-by-step explanation:

i hope this helps its kind of hard to see but i tried lol

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3 years ago

Consider 7×10^3. Write a pattern to find the value of the expression

kkurt [141]

Answer:

7*10*10*10 = 7000

7*10 = 70

70*10 = 700

700*10 = 7000

Step-by-step explanation:

The given expression is:

7*10^3

Here 10^3 means that 10 will be multiplied 3 times:

7*10*10*10 = 7000

How did we get 7000?

7*10*10*10 = 7000

7*10 = 70

70*10 = 700

700*10 = 7000

We can also say that there are 7 1000s in 7000....

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3 years ago

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HELPPPPPPPPPPPPPPPPPPP!!!

Angelina_Jolie [31]

Answer:

15.13cm

Step-by-step explanation:

From that above question:

We are told that:

Lateral surface area of a right circular cone : πr√r² + h²

We are give the following parameters:

Lateral surface area = 236.64cm²

Radius = 4.75cm

We are to find the height

Making h the subject of the formula

h = √[(A/r)² - πr²]/π

h = √[(236.64/4.75)²- π ×4.75²]/π

h = 15.12975 cm

Approximately to the nearest hundredth = 15.13cm

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3 years ago