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KonstantinChe [14]

3 years ago

12

The first term of an arithmetic sequence is –12 and the ninth

1 answer:

shtirl [24]3 years ago

8 0

Answer:

d = $\frac{7}{2}$

Step-by-step explanation:

The nth term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₉ = 16 , then

- 12 + 8d = 16 ( add 12 to both sides )

8d = 28 ( divide both sides by 8 )

d = $\frac{28}{8}$ = $\frac{7}{2}$

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3 years ago

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charle [14.2K]

Answer:

u = 12

Step-by-step explanation:

formula : (base x height) / 2

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3 years ago

Find the sum of the measures of the interior angles of each of the following convex polygons: a pentagon, an octagon, a dodecago

TiliK225 [7]

Answer:

$540^{\circ},\ 1080^{\circ},\ 1800^{\circ},\ 6840^{\circ},\ 9000^{\circ},\ 17640^{\circ}$

Step-by-step explanation:

The sum of the measures of the interior angles of each convex n-sided polygon is always equal to

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1. A pentagon is 5-sided polygon, then the sum of the measures of the interior angles of pentagon is

$(5-2)\cdot 180^{\circ}=540^{\circ}.$

2. An octagon is 8-sided polygon, then the sum of the measures of the interior angles of octagon is

$(8-2)\cdot 180^{\circ}=1080^{\circ}.$

3. A dodecagon is 12-sided polygon, then the sum of the measures of the interior angles of dodecagon is

$(12-2)\cdot 180^{\circ}=1800^{\circ}.$

4. For 40-sided polygon the sum of the measures of the interior angles is

$(40-2)\cdot 180^{\circ}=6840^{\circ}.$

5. For 52-sided polygon the sum of the measures of the interior angles is

$(52-2)\cdot 180^{\circ}=9000^{\circ}.$

6. For 100-sided polygon the sum of the measures of the interior angles is

$(100-2)\cdot 180^{\circ}=17640^{\circ}.$

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4 years ago

Jakob rolls an 8-sided die that is numbered from 1 through 8 a total of 400 times. About how many times should Jakob expect to r

Sindrei [870]

Answer: 50

Step-by-step explanation:

400 ÷ 8 = 50

7 0

3 years ago

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Alex777 [14]

Answer:

Each oven is discounted by $40

Step-by-step explanation:

Total discount for 12 ovens is $480, so:

$480/12 = $40

$40 discount per oven.

4 0

2 years ago