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son4ous [18]
3 years ago
5

If 8 is an angle in standard position and its terminal side passes through the point (21,20), find the exact value of cos 0 in s

implest radical form.​
Mathematics
1 answer:
Sati [7]3 years ago
8 0

Answer:

so x = 20 , y = -21 , which is in quad IV

r^2= 400+441 = 841

r = √841 = 29

then cos Ø = 20/29

sec Ø = 29/20 = 1.45

please mark me as the brainliest answer and please follow me for more answers to your questions.

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Subtract and simplify. Show work please!
ra1l [238]

1) Final expression: +7y^2-6y-17

2) Final expression: 21x^3-46x^2+59x-30

Step-by-step explanation:

1)

The first expression is

(-2y^2-11y-7)-(-9y^2-5y+10)

First, we remove the 2nd bracket by changing the sign of all the terms inside:

-2y^2-11y-7-+9y^2+5y-10

Now we group the terms with same degree together:

(-2y^2+9y^2)+(-11y+5y)+(-7-10)

Now we solve the expression in each brackets:

(-2y^2+9y^2)+(-11y+5y)+(-7-10)=\\+7y^2-6y-17

So, this is the final expression.

2)

The second expression is

(7x-6)(3x^2-4x+5)

We apply the distributive property, so we rewrite the expression as follows:

(7x-6)(3x^2-4x+5)=7x(3x^2-4x+5)-6(3x^2-4x+5)

Solving both brackets,

7x(3x^2-4x+5)-6(3x^2-4x+5)=\\21x^3-28x^2+35x-18x^2+24x-30

Now we group terms of same degree together:

21x^3-28x^2+35x-18x^2+24x-30=\\21x^3+(-28x^2-18x^2)+(35x+24x)-30

And solving each bracket,

21x^3+(-28x^2-18x^2)+(35x+24x)-30=\\21x^3-46x^2+59x-30

So, this is the final expression.

Learn how to simplify expressions:

brainly.com/question/7014769

brainly.com/question/11007572

brainly.com/question/11334714

#LearnwithBrainly

3 0
3 years ago
What type of symmetry does a regular pentagon have
solong [7]

Just a regular pentagon has 5 sides. and also has 5 lines of symmetry.

So if a shape has 7 sides it will have 7 lines of symmetry.

Its always going to be the same number.

plz mark me as brainliest :)

8 0
3 years ago
Find the length of the hypotenuse of a right triangle with legs of lengths 12 ft and 16 ft answer
Finger [1]
Use Pythagorus theorem: 

a²+b²=c²
(12)²+(16)²=c²
400=c²
√400=c 
20=c 

Therefore, the hypotenuse would be 20 ft. 

Hope I helped :) 
8 0
3 years ago
Solve the equation 1/4 (x+2)+5=-x
AnnyKZ [126]

Answer:

Exact Form:

x=−225

Decimal Form:

x=−4.4

Mixed Number Form:

x=−4 2/5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Gabriela drew a net of a rectangular prism on
shtirl [24]

Answer:

412 squares

Step-by-step explanation:

16o

140

172

412

trust me on this

5 0
3 years ago
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