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igomit [66]
3 years ago
8

Given right triangle ABC, what is the value of tan (A)?

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
6 0

12/5 is the answer because if you use the help of "SohCahToa" you find that 12 is the opposite side of angle A and 5 is the adjacent angle

You might be interested in
Find the value of x (Pic Below)
SpyIntel [72]

Answer:

x=3

Step-by-step explanation:

In given triangle, values are written on each side. Now using those values we need to find the value of x.

We see that angls corresponding to sides having values (3x+2) and 11 are marked with equal angles.

We know that equal angles of triangle corresponds to equal sides.

Then 3x+2=11

3x=11-2

3x=9

divide both sides by 3

x=3

<u>Hence final answer is x=3</u>

4 0
3 years ago
6. Simplify: i) (a + b)(5a – 3b) + (a – 3b)(a – b) ii) (a – b) (a² + b² + ab) – (a + b) (a² + b²– ab) iii) (b² – 49) (b + 7) + 3
Shkiper50 [21]

Step-by-step explanation:

<h2>i).</h2>

(a + b)(5a – 3b) + (a – 3b)(a – b)

Expand each of the terms separately

That's

(a + b)(5a – 3b) = 5a² - 3ab + 5ab - 3b²

= 5a² + 2ab - 3b²

(a – 3b)(a – b) = a² - ab - 3ab + 3b²

= a² - 4ab + 3b²

<u>Add the terms</u>

That's

5a² + 2ab - 3b² + a² - 4ab + 3b²

<u>Group like terms</u>

5a² + a² + 2ab - 4ab - 3b² + 3b²

We have the answer as

<h2>6a² - 2ab</h2>

<h2>ii)</h2>

(a – b) (a² + b² + ab) – (a + b) (a² + b²– ab)

Expand the terms separately

<u>For (a – b) (a² + b² + ab)</u>

Using the rule

x³ - y³ = (x - y)( x² + xy + y²) expand the expression

So we have

(a – b) (a² + b² + ab) = a³ - b³

<u>For (a + b) (a² + b²– ab)</u>

Using the rule

x³ + y³ = (x + y)( x² - xy + y²) expand the expression

We have

(a + b) (a² + b²– ab) = a³ + b³

Subtract the terms

That's

a³ - b³ - (a³ + b³)

Remove the parenthesis

a³ - b³ - a³ - b³

Group like terms

a³ - a³ - b³ - b³

We have the final answer as

<h2>-2b³</h2>

<h2>iii)</h2>

(b² – 49) (b + 7) + 343

Expand the terms

That's

b³ + 7b² - 49b - 343 + 343

We have the final answer as

<h2>b³ + 7b² - 49b</h2>

Hope this helps you

6 0
3 years ago
PLEASE HELP I ONLY HAVE 11 MINS LEFT!!!
gulaghasi [49]

Answer:

3, 4, 5, 6

Step-by-step explanation:

2(.7) in not greater than 1.9

3(.7) is greater than 1.9, so everything above 3 is also

4 0
2 years ago
If leo is 6 years old and max is 12 years, how many years would it be until max is 3 times as old as leo
Ivan
<h2>Greetings!</h2>

Answer:

If Leo is 6 and Max is 12 years older, Max is 18.

This means that max is already three years older than Leo:

6 * 3 = 18 , which is Max's age.


<h2>Hope this helps!</h2>
7 0
3 years ago
The ratio of Jared’s stamps to Pablo’s stamps is 4:7. if Jared has 36 stamps how many stamps does Paulo have?
chubhunter [2.5K]
36/4=9
9x7=63
Paulo has 63 stamps
5 0
2 years ago
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