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timama [110]
2 years ago
15

What is the common ratio of 40,12,3.6

Mathematics
1 answer:
slava [35]2 years ago
3 0

Answer:

0.3

Step-by-step explanation:

Divide the second term (12) with the first term (40), and you'll get 0.3

This is correct because you get the terms in the correct order when multiplying:
(First term: 40. Common ratio: 0.3)
40 x 0.3 = <u>12</u>
<u>12</u> x 0.3<em> </em>= <em>3.6</em>

40, <u>12</u>, <em>3.6</em>

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Find m\angle Am∠Am, angle, A.<br> Round to the nearest degree.
Oxana [17]

Answer:

m∠A = 106°

Step-by-step explanation:

All three sides of the triangle are given in the question.

To find the measure of included angle A between two sides we will apply cosine formula,

BC²= AB² + AC² - 2(AB)(AC)cosA

(13)² = (10)² + (6)² - 2(10)(6)cosA

169 = 100 + 36 - 120cosA

cosA = \frac{-169+136}{120}

cosA = -0.275

A = \text{cos}^{-1}(-0.275)

A = 105.96°

A ≈ 106°

Therefore, m∠A = 106° will be the answer.

3 0
3 years ago
the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?
Oksanka [162]

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

8 0
2 years ago
Which number is irrational? Is 2 correct? And please help on 3 I don’t understand this :(
snow_lady [41]

Answer:

Im pretty sure the 3rd choice on #2 is an irrational number...

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is 5 3/4 -1 5/12= ?
allsm [11]

Answer:

4.33333333333 or 4 and 1/3

Step-by-step explanation:

4 0
3 years ago
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Simplifying the following expression:<br> 6x + 2(3x + 5) + (-9)
Nezavi [6.7K]
= <span>6x + 2(3x + 5) + (-9)
= 6x +6x + 10 - 9
= 12x + 1

In short, Your Final Answer would be 12x + 1

Hope this helps!</span>
3 0
3 years ago
Read 2 more answers
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