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eduard
3 years ago
6

What is the nth term of 4,9,16,25,36

Mathematics
1 answer:
konstantin123 [22]3 years ago
4 0

Answer:

(n + 1)²

Step-by-step explanation:

note that 4, 9, 16, 25, 36 are square numbers

To generate the terms add 1 to the position n and square, that is

first term : n = 1 → n = 1 + 1 → 2² = 4

second term : n = 2 → n = 2 + 1 → 3² = 9

third term : n = 3 → n = 3 + 1 → 4² = 16

Hence n th term is (n + 1)²


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Tracy needs to find the length and width of the equipment storage room where she works. The room is 2 meters longer than it is w
____ [38]

Answer:

3 meters

Step-by-step explanation:

We assume the storage room is a rectangle, like most rooms, no indication it is otherwise.

We know it's a rectangle and not a square because it is longer than wide.

We have the perimeter measurement (16 meters).

So, we can make the following equation:

2x + 2y = 16

x being the width of the room, y being it's length.  A perimeter is the sum of all sides.

We also know the room is 2 meters longer than wide... so:

y = x + 2

If we replace y in the first equation by its value relative to x, we get:

2x + 2(x + 2) = 16 which becomes

2x + 2x + 4 = 16

4x =12

thus x = 3

Width: 3 meters

Length: 5 meters.

Confirms the 16 meters perimeter.

5 0
3 years ago
Read 2 more answers
Which of the following can you use to find 20 percent of 48?
lana [24]

Answer:

B:0.2(48)

Step-by-step explanation:

Of means multiply

20% of 48

Changing to decimal form

.20 * 48

8 0
3 years ago
Read 2 more answers
A store has clearance items that have been marked down by 30%. They are having a sale, advertising an additional 60% off clearan
Schach [20]

Answer:

28%

Step-by-step explanation:

We get 30% off the original price

The new price is (100-30) = 70$ of the original price

Let x = the original price

The new price is .7x

Now get get an additional 60% off.  We pay (100-60) = 40 percent of the price

Take .7x * .4

The new price is .7*.4 x

                               .28x

This is 28 percent of the original price x

8 0
3 years ago
The area of a regular hexagon inscribed in a circle with radius 2 is . Round your answer to the nearest tenth.
Verdich [7]

Answer:

10.4 to nearest tenth.

Step-by-step explanation:

If we draw lines from the centre of the circle to each vertex of the hexagon we get 6  equilateral triangles  of side length 2.

Altitude of each triangle  = sqrt(2^2 - 1^2)

= sqrt3.

So the area of 1 triangle = 1/2 * 2 * sqrt3

= sqrt3

Therefore the area of the hexagon = 6 * sqrt3

= 6sqrt3

= 10.3923

6 0
2 years ago
A line passes through the point (-8,-9) and has a slope of (-3,-4)
Colt1911 [192]

Answer:

y = -3/4x + 3

Step-by-step explanation:

y - 9 = -3/4 (x-8)

y-9 = -3/4x -6

y = -3/4x - 6 + 9

y = -3/4x + 3

hope this helps if not sorry

3 0
3 years ago
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