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2 years ago

Which of the following is the rule for the geometric sequence 1, 3, 9, 27, ...?

Mathematics

2 answers:

RoseWind [281]2 years ago

7 0

Answer:

D. an =1 x 3 n-1 is the correct answer.

Step-by-step explanation:

Dmitriy789 [7]2 years ago

4 0

Answer:

Multiply by three for every number 1*3 =3 3*3=9 9*3=27

Step-by-step explanation:

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2 years ago

Given: O ∈ AB , ON is ∠ bisector of ∠AOC, OF is ∠ bisector of ∠COB, m∠FOB=70°. Find: m∠AON

Julli [10]

Answer:

AOC = 20 degrees

Step-by-step explanation:

We know that FOB is 70 degrees, and COF is 90 degrees. So just add 70+90 and get 160 degrees. Then you subtract that from AOB which is 20 degrees.

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2 years ago

What's 100,994 rounded to the nearest 100?

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Step-by-step explanation: It would be rounded to 101000 because the nearest 100 would be a 1000.

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2 years ago

Read 2 more answers

Find the value of x if DE is the midsegment of triangle ABC and

Varvara68 [4.7K]

Answer

Find out the value of x.

To prove

Definition of mid- segment

It is a segment connecting the midpoints of two sides of a triangle.

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

As shown in the triangle given below.

As given

DE = 5x and BC = 11x – 15

Thus

$DE = \frac{BC}{2}$

$5x = \frac{11x-15}{2}$

$5x\times 2 = 11x-15$

$10x = 11x-15$

15 = 11x - 10x

15 = x

Therefore the value of x is 15 .

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2 years ago

What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to

olga_2 [115]

Answer:

$\boxed{\text{51.71 cm}^{2}}$

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

$A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}$

Data:

θ = 49°

r = 11 cm

Calculation:

$\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}$

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2 years ago