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Nat2105 [25]
3 years ago
15

The nth term of a sequence is 2n-1.

Mathematics
1 answer:
Zinaida [17]3 years ago
6 0

Answer:

25,31,37

Step-by-step explanation:

n should be positive integer number. The three numbers in both sequences have different term number n but same value. We can equalize each nth term in the question to "a" which represents one of the three numbers.

a=2n-1, then n=(a+1)/2

a=3n+1, then n=(a-1)/3

remember the two n above are different but both should be positive integer. That means, we have to find the "a" number that gives me an integer n for the first equation. The possible numbers between 20 to 40 are 22,25,28,31,34,37,40.

The possible numbers for the second equation are 21,23,25,27,29,31,33,35,37,39.

Now find the common numbers between the two sets above. They are 25,31,37

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The side lengths of a right triangle are 18 cm, 24 cm, and 30 cm. You are asked to find the area of the triangle by using A = 1/
vekshin1

Answer:

1. Use the Adjacent and opposite side (Ignore the Hypotenuse)

Or use HERO'S FORMULA based on the information given

2. Area = 216cm^2

Step-by-step explanation:

There are three to four ways we can go about finding the area of a triangle. And a these would be dependent on the information given about the triangle.

From the question, you said the three side lengths are given. In such case, we employ the HERO FORMULA.

HERO FORMULA:

Area = √ s(s-a)(s-b)(s-c)

where s = 1/2(a + b + c)

a, b, c are the three sides

But since the question insisted that we use 1/2* base * height. Let's use our know of right angle to dissolve that.

A right angle triangle has three sides. The longest is always the Hypotenuse.

Let's take it this way.

Hypotenuse = 30cm

Opposite= 18cm

Adjacent = 24cm

Area = 1/2 * base * height

Area = 1/2 * 18 * 24

Area = 1/2 * 432

Area = 216cm^2

We ignored the longest side, (the Hypotenuse)

6 0
3 years ago
The volume of a box can be found by multiplying the length times width times height of a box (v=lwh). If the volume of a box is
Andrej [43]

Answer:

  about 10.924 inches

Step-by-step explanation:

If all of the dimensions are equal, the box is a cube. Its side length is the cube root of the volume.

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3 years ago
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Which matrix represents the solution to this system of equations?
Xelga [282]

Answer:

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Step-by-step explanation:

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4x = -36<br> plz helpppp
san4es73 [151]

Hi there! :)

4x=-36

Divide both sides by 4 in order to isolate x:

x=-9

Hope this helps you and have a nice day!

~Just a joyful teen

SilentNature

8 0
2 years ago
I need help I did most of them but not sure if there right if you could tell me that would be great. Also can you help me with 9
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Explanation:

In the given identified the following with reasons.

1. Given

2. Corresponding Angles postulate

3. Reflexive property of congruence

4. AA similarity postulate.

5. Triangle proportionate  

6. Cross multiply

7. Distributive property of equality

8. Subtraction property of equality

9. Division property of equality

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3 years ago
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