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2 years ago

If x and y are complementary angles, then y is a right angle. right?

1 answer:

3 0

Answer: No

Step-by-Step Explanation:

Complementary angles are a set of angles that sum up to 90 degrees. Neither y nor x can be 90 since if it is, then the other angle would have to be 0 degrees which is not possible in a triangle.

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What is an a priori proposition? an a posteriori proposition?

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A priori means as things were in the beginning or at the start.
a posteriori means as things are after any event.

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3 years ago

What is the area of a square with a side length of 7 units

Alexandra [31]

Answer:

343

Step-by-step explanation:

L×W×H= area

squares have equal L W And H

7×7×7= 343

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3 years ago

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Step-by-step explanation:

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3 years ago

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Evaluate each expression if a=2,6=-3,c=-1, and d=4. 2d-a ———- b

Volgvan

2(4)-(2) / -3 = -2
2•4 is 8 - 2 is 6, 6 divided by -3 is -2.

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4 years ago

4. A geometric sequence is defined recursively by a(1) = 40 and a(n)= a(n-1)

Anarel [89]

The complete question is:

A geometric sequence is defined recursively by

$a_{(1)}=40\text{ and }a_n=(-1/2)a_{(n-1)}$

(a) Write out the first four terms of this sequence.

(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.

Answer:

The 9th term is larger than 1/10.

Explanation:

You are given the first term, $a_(1)=40$ , and the recursive formula

$a_{(n)}=(-1/2)a_{(n-1}$

Thus, you can find the sequence of terms by multiplying each term by the constant ratio, (-1/2).

(a) First four terms of the sequence

$a_{(1)}=40\\ \\ a_{(2)}=40\times (-1/2)=-20\\ \\ a_{(3)}=-20\times (-1/2)=10\\\\ a_{(4)}=10\times (-1/2)=-5$

Those are the first four terms.

(b) 9th term

You can write the explicit formula of the sequence as:

$a_{(n)}=a_{(1)}\times r^{(n-1)}\\ \\ a_{(n)}=40(-1/2)^{(n-1)}$

Thus, for the 9th term, n = 9, and the term is:

$a_{(9)}=40\times (-1/2)^{(9-1)}\\ \\ a_{(9)}=40\times(-1/2)^8\\ \\ a_{(9)}=40\times(1/256)=0.1526$

Since 1/10 = 0.1, and 0.1 < 0.1526, the 9th term is larger than 1/10.

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3 years ago