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Levart [38]
3 years ago
15

If tan a = 9/40use trigonometric identities to find the values of sin a and cos a.​

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Given

tan a = \frac{9}{40} = \frac{opposite}{adjacent}

We require the hypotenuse h

Using Pythagoras' identity

h² = 9² + 40² = 81 + 1600 = 1681 ( take square root of both sides )

h = \sqrt{1681} = 41 , thus

sin a = \frac{opposite}{hypotenuse} = \frac{9}{41}

cos a = \frac{adjacent}{hypotenuse} = \frac{40}{41}

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26<br> Convert to a mixed number.<br> 3
GalinKa [24]

Answer:

26/3 as a mixed number is 8 2/3

Step-by-step explanation:

hope this helped you if it did plz mark brainiest

5 0
3 years ago
[(7+3)x5-4](divided by) 2+3<br> SHOW ALL WORK WILL MARK BRAINLIEST
Nesterboy [21]

Answer:

26

Step-by-step explanation:

[(7+3)5-4]/2+3

-To solve this equation you have to use PEMDAS

P- Parentheses

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction-

- With MD and AS you work left to right of the equation since they are in the same spot. (PE[MD][AS])

Step 1) [(10)5-4]/2+3

- First you do "P," parentheses, so you add 7+3=10

Step 2) [50-4]/2+3

- Next you do "M," multiplication, and multiply 10x5=50

Step 3) [46]/2+3

- Then you do "S," subtraction, and subtract 50-4=46

(FYI: Steps 1-3 were still in the parentheses. We had to start with the parentheses in the parentheses, work PEMDAS, and now we are out of the parentheses and have to work PEMDAS on the rest of the problem.)

Step 4) 23+3

- Now we do "D," division, and divide 46/2=23

Step 5) 23+3=6

- Finally we do "A," addition, and add 23+3=26 so the answer is 26

(FYI: "/" means division)

4 0
3 years ago
Please help me. I need to find what W is​
cluponka [151]

Answer:

9

Step-by-step explanation:

w+13-\frac{2w}{3}=16

w · \frac{3}{3} -\frac{2w}{3}+13=16

\frac{w}{3}+13=16

\frac{w}{3}=3

w=9

6 0
3 years ago
Solving polynomial(2y-4)(3y+6)​
jeka57 [31]

Answer:

6y² - 24

Step-by-step explanation:

Expand. Follow FOIL method. FOIL =

First

Outside

Inside

Last.

First, multiply the first term of each parenthesis:

2y * 3y = 6y²

Next, multiply the outside terms from both parenthesis:

2y * 6 = 12y

Then, multiply the inside terms from both parenthesis:

-4 * 3y = -12y

Finally, multiply the last terms of each parenthesis:

-4 * 6 = -24

Combine like terms:

6y² + 12y - 12y - 24

6y² + (12y - 12y) - 24

6y² - 24

6y² - 24 is your answer.

~

3 0
4 years ago
Read 2 more answers
Write an equation of the line that is perpendicular to y=1/2x-3 and goes through the point (1,3)
Alex_Xolod [135]

Answer:

y = -2x + 5

Step-by-step explanation:

y=\frac{1}{2}x-3

Slope of this line m₁ = 1/2

Slope of the line perpendicular to this line = m₂

m₁ *m₂ = -1

m₂ = -1 *2/1 = -2

Slope  = -2; (1,3)

y- y₁ = m(x-x₁)

y - 3 = -2(x - 1)

y - 3 = -2x + 2

y = -2x +2 +3

y = -2x + 5

5 0
3 years ago
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