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Goryan [66]
3 years ago
9

What are the explicit equation and domain for an arithmetic sequence with a first term of 6 and a second term of 2?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0
Hello,

Domain={1,2,3,4,5,6...}

a(1)=6
a(2)=6-4=2
a(3)=2-4=-2=6-2*4
...
a(n)=6-4*(n-1)

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What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter
n200080 [17]

Question:

What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the values of radius and central angle are not given.

However, I'll answer the question using the attached figure.

From the attached figure, the radius is 3 unit and the central angle is 120 degrees

The area of a sector is calculated as thus;

Area = \frac{\alpha }{360} * \pi r^2

Where \alpha represents the central angle and r represents the radius

By substituting \alpha = 120 and r = 3

Area = \frac{\alpha }{360} * \pi r^2 becomes

Area = \frac{120}{360} * \pi * 3^2

Area = \frac{1}{3} * \pi * 9

Area = \pi * 3

Area = 3\pi square units

Solving further to leave answer as a decimal; we have to substitute 3.14 for \pi

So, Area = 3\pi becomes

Area = 3 * 3.14

Area = 9.42 square units

Hence, the area of the sector in the attached figure is 3\pi or 9.42 square units

8 0
3 years ago
Can someone please help me
PtichkaEL [24]

Answer:

The size is 37.5 degrees

Step-by-step explanation:

The total angle in the triangle is 180

Since the other two angles are congruent. it means that they are equal

Let us call each of the angles x

Mathematically,

x + x + 105 = 180

2x = 180-105

2x = 75

x = 75/2

x = 37.5

7 0
3 years ago
2. Write the expressions using an exponent. Then solve.
Maurinko [17]
B. Five cubed because there at 5 2s there and 2*2*2*2*2 would be the same thing as saying 5^2
7 0
3 years ago
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Wei has already saved $1,220 for college. She expects the total cost of her first year to be $9,850, and she expects to receive
Kruka [31]

Answer: she needs to save $6510

Step-by-step explanation:

In the first year, she expects her total cost to be $9,850. Wei has already saved $1,220 for college. This means that the remaining amount that she needs would be

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she expects to receive grants and scholarships that total $2,120. Therefore, the amount of money that she should save to be able to pay for her first year of college would be 8630 - 2120 = $6510

8 0
3 years ago
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Lana's toy boat can sail 7 1/2 yards in 4 1/6 minutes. How far would it sail in 8 3/4 minutes if kept the same pace?
Inessa [10]

Answer:

63/4

Step-by-step explanation:

Let the sails yard in 8 3/4 minutes= X

7 1/2 yards sails= 4 1/6 minutes

X = 8 3/4 minutes

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Then

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8 0
3 years ago
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