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Darina [25.2K]
3 years ago
5

Use inductive reasoning to describe the pattern. then find the next two numbers in the pattern. –3, 9, –27, 81, . . .

Mathematics
2 answers:
erastovalidia [21]3 years ago
6 0
Tmes -3 each times so next 2 numbers are -243 then 729
miv72 [106K]3 years ago
5 0

Answer:

-243 and 729.

Step-by-step explanation:

We have been given a pattern –3, 9, –27, 81, . . . We are asked to find the next two numbers of our given pattern.

We can see that our given pattern is in form of geometric sequence. We need to find the common ratio of our given sequence by dividing any term of sequence by its previous term.

r=\frac{9}{-3}=-\frac{9}{3}=-3.

So the next number of our given term would be 81\times -3=-243.

The next number would be  -243\times -3=729.

Therefore, the next two numbers of our given sequence are -243 and 729.

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Angle D has a measure between 0° and 360° and is coterminal with a –920° angle. What is the measure of angle D?
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Take -920/360 = -2.55555
Take the fraction part -0.5555555 * 360 = -200
The positive of that would be 160 degrees
7 0
3 years ago
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Consider ΔABC, where ∠C = 90° and ∠A + ∠B = 90°. Click on the statements that are true about the relationships of the angles Ang
Novay_Z [31]

Answer: Angles A and B are complementary angles

If Sin A ≈ 0.766 then Cos B ≈ 0.766.

If Cos B ≈ 0.766 then Sin A ≈ 0.766

Step-by-step explanation: In any given right angled triangle, one angle measures 90 degrees while the addition of the other two angles equals to 90 degrees. Hence if angle C is given as 90 degrees, then angles A and B added together equals 90 degrees (complementary angles equal 90 degrees).

Also, Sin A cannot be the same value as Sin B, since angle A and angle B are not equal in measurement. However, being complementary, the Sin of angle A equals the Cos of angle B.

If Sin A ≈ 0.766, then angle A ≈ 50 degrees

That makes angle B equal to 40 degrees. The Cos of B ≈ 0.766

Therefore if Sin A ≈ 0.766, then Cos B ≈ 0.766

If Cos B ≈ 0.766 then Sin A ≈ 0.766 are both correct

6 0
4 years ago
suppose that a number written as a decimal has an infinite number of non- repeating digits after the decimal point. What is this
faltersainse [42]

Answer: Irrational number

If the decimal digits repeat forever, then the repeating decimal is considered rational.

For instance, 2/99 = 0.020202020202... where the "02" repeats forever

If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.

8 0
3 years ago
I need help!!! As fast as possible!!!!
ale4655 [162]

Answer:

x = 44º

Step-by-step explanation:

∡P  = 360 - 112*2 = 136º

∡A = x = 180 - 136º = 44º

6 0
3 years ago
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What is the opposite integer of –(–7)?
klio [65]
-7

-(-7) is 7 because two negative signs result in a positive. The opposite integer of 7 is -7
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3 years ago
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