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bekas [8.4K]
3 years ago
6

What is the common ratio for geometric sequence: 5,15,45,135 ?​

Mathematics
1 answer:
serg [7]3 years ago
5 0

Answer:

the common ratio is 3

Step-by-step explanation:

to solve for the common ratio, I like to take the second term and divide it by the first term

15/5 = 3

then I will check the rest of the terms

15*3 = 45

45*3 = 135

It looks like the common ratio is correct!

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The lengths of the sides of the triangle are 13cm, 14 cm, and 15 cm. Is the triangle a right triangle?
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Answer:

No, it is not a right triangle.

Step-by-step explanation:

If the triangle was a right triangle, then the Pythagorean Theorem states that a^2 + b^2 = c^2. Let's test it on this triangle:

13^2 + 14^2 = 365, or c^2. If this is a right triangle, c should equal 15.

However, sqrt(365) = 19.1, which is not 15. So, the triangle is not a right triangle.

4 0
3 years ago
You are standing 15 ft away from a tree. The angle of elevation from the groumd where you are standing to the top of a tree is 5
Allushta [10]

Answer:

the height of the tree is 19.2 ft

Step-by-step explanation:

Given;

distance from the foot of the tree, d = 15 ft

angle of elevation; θ = 52°

let the height of the tree = h

Make a sketch of the problem as follows;

                                  ↑

                                  ↑ h

     52°---------------------

                  15 ft

If completed to form a right triangle by adding the hypotenuse side, we can calculate the height of the tree as follows;

tan (52)=  \frac{h}{15} \\\\h = 15 \times tan(52)\\\\h = 19.2 \ ft

Therefore, the height of the tree is 19.2 ft

4 0
3 years ago
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Step-by-step explanation:

7 0
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Step-by-step explanation: and you can get a good helpful answer

7 0
3 years ago
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