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3 years ago

This is a Khan Academy question from Trig

Mathematics

1 answer:

Paha777 [63]3 years ago

4 0

Answer:

Option A

Step-by-step explanation:

By definition, tan∅=opposite/adjacent, so A would be your other option. HI represents the length of the side opposite to ∠H while GI represents the length of the side adjacent to ∠H.

Hope that clears things up!

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Quadrant for for number 5

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3 years ago

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A triangle has 2 sides of lengths 7 and 12 what value could the length of the third side be

yawa3891 [41]

Answer:

Step-by-step explanation:

a^2+b^2=c^2

7^2+12^2=c^2

=193^2

find the square root of 193

13.9ish

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3 years ago

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A=bxtc
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3 years ago

Plz do both of them for me and even show the work plzzzzzz

Vinvika [58]

Answer:

(a)= option 3

(b)= option 3

Step-by-step explanation:

(A) It is given that a sequence is defined by the recursive function $a_{1}=1$ and $a_{n}=a_{n-1}+n$

Now, substituting the value of n=2 in above equation,

$a_{2}=a_{1}+2$

$a_{2}=1+2$

$a_{2}=3$

Again putting n=3,

$a_{3}=a_{2}+3$

$a_{3}=3+3$

$a_{2}=6$

Putting n=4,

$a_{4}=a_{3}+4$

$a_{4}=6+4$

$a_{4}=10$

Putting n=5,

$a_{5}=a_{4}+5$

$a_{5}=10+5$

$a_{5}=15$

Putting n=6,

$a_{6}=a_{5}+6$

$a_{6}=15+6$

$a_{6}=21$

Putting n=7,

$a_{7}=a_{6}+7$

$a_{7}=21+7$

$a_{7}=28$

Hence, option 3 is correct.

(B) The given sequence is :

5, -10, 20, -40, 80.....

Since, the given sequence is GP, therefore

$a_{1}=5$ and r=-2

The nth term is given by:

$a_{n}=a_{1}r^{n-1}$

For fifteenth term, put n=15 in above equation, we get

$a_{15}=5(-2)^{14}$

= $5{\times}16384$

= $81920$

Hence, the fifteenth term is 81920.

Option 3 is correct.

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3 years ago

Given the following information, determine which lines, if any, are parallel. State the

Bas_tet [7]

1. Lines a and b are parallel by the converse of alternate interior angles theorem

2. l║m by the converse of consecutive interior angles theorem.

<h3>What is the Converse of Alternate Interior Angles Theorem?</h3>

Given that the interior angles, ∠3 ≅ ∠7, according to the converse of alternate interior angles theorem, the lines they are found on, lines a and b would be parallel.

1. Lines a and b are parallel.

<h3>What is the Converse of Consecutive Interior Angles Theorem?</h3>

Given that the interior angles, m∠5 + m∠12 = 180, according to the converse of consecutive interior angles theorem, the lines they are found on, lines l and m would be parallel.

2. Lines l and m are parallel.

Learn more about the converse of alternate interior angles theorem on:

brainly.com/question/10565830

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2 years ago