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Otrada [13]
2 years ago
13

2, 5, 25/2 ​ ,... Find the 9th term.

Mathematics
1 answer:
Cloud [144]2 years ago
8 0

Step-by-step explanation:

seems to be multiplication, because the differences between the numbers change.

so, let's find the factor.

2 × f = 5

f = 5/2

5 × f = 5 × 5/2 = 25/2

ok, the factor 5/2 is confirmed.

a1 = 2

a2 = a1 × 5/2 = 2 × 5/2 = 10/2 = 5

a3 = a2 × 5/2 = a1 × 5/2 × 5/2 = 2 × 5/2 × 5/2 = 25/2

an = an-1 × 5/2 = a1 × (5/2)^(n-1) = 2 × (5/2)^(n-1)

a9 = 2 × (5/2)⁸ = 2 × 390,625/256 =

= 390,625/128 = 3,051.7578125

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tyler has a rectangular garden measuring 12m by 20 m that he wants to split diagonally from corner to corner using a fence. how
adelina 88 [10]

Answer:

23.3

(or 4\sqrt{34} (let me know if you wanted this one and is you want it explained) lol)

Step-by-step explanation:

To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:

a^{2} +b^{2} =c^{2}

Insert values:

12^{2} +20^{2} =c^{2}

Solve for c:

Evaluate exponents

144+400=c^2

Simplify addition

544=c^2

Find the square root of both

\sqrt{544} =\sqrt{c^2}\\\\\sqrt{544} =c\\\\23.324=c\\\\c=23.3

The fence needs to be approximately 23.3 m.

5 0
3 years ago
Read 2 more answers
What is the quotient
GREYUIT [131]
What you must do for this case is to follow the following steps.
 1) Rewrite the expression completely.
 2) make a double c.
 3) Factor each quadratic expression correctly.
 4) cancel similar terms.
 Answer:
 2n
 See attached images.

3 0
3 years ago
Can someone explain how to get the answer if do 5 stars and have good rating
8_murik_8 [283]

Answer:

3:1

Step-by-step explanation:

We know that the number of students who prefer cheese AND vegetable pizza is 16 cheese + 2 vegetable = 18 combined

We also know that the number of students who prefer sausage AND pepperoni pizza is 3 sausage + 3 pepperoni = 6 combined

If we take the ratio between these figures, this ratio would be 18:6 (read as 18 to 6) which simplifies to 3:1 (read as 3 to 1).

5 0
2 years ago
Read 2 more answers
Please can someone help me.
Vladimir79 [104]

Answer:

4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
10. What is an expression for the perimeter of the triangle?
Whitepunk [10]

Answer:

See explanation, and comment for more details!

Step-by-step explanation:

10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.

11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.

12.

a. x=3, y=4, z=5

b. x=\sqrt{2}, y=\sqrt{2}, z=2

c.x= \sqrt{3}, y=2, z=\sqrt{7}

Hope this helps!

4 0
3 years ago
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