In ∆abc, what is the value of cos b?

Answers

Answer 1

Answer: $c^2=a^2+b^2-2ab\cos\beta\n\n2ab\cos\beta=a^2+b^2-c^2\n\n\boxed{\cos\beta=(a^2+b^2-c^2)/(2ab)}$

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Inequalities x minus -3>-15

Answers

$x-3>-15\nx>-15+3\nx>-12$

Factor completely 10xy + 3y + 20ax + 6a.(10x − 3)(y − 2a)

(10x − 3)(y + 2a)

(10x + 3)(y + 2a)

(10x + 3)(y − 2a)

Answers

Answer:

Option 3 is correct.

Step-by-step explanation:

The given expression is

$10xy+3y+20ax+6a$

This expression can be written as

$(10xy+3y)+(20ax+6a)$

Take out the common factors from each parenthesis.

$y(10x+3)+2a(10x+3)$

Now, take out the common factor (10x+3).

$(10x+3)(y+2a)$

Therefore option 3 is correct.

10 xy + 3y + 20 ax + 6a = y(10x+3) + a(20x+6) = y(10x+3)+2a(10x+6)=
(y+2a)(10x+3)

63360 inches, and the risers of the steps of the capitol building are 8 inches high. Barry is visiting the capitol, and as he climbs up from the one-mile step, his altitude above sea level, in inches, is given by the following sequence: 63,360, 63,368, 63,376, 63,384, 63,392, ... What is Barry's altitude above sea level, in inches, when he is standing on the 55th step above the one-mile step (counting the one-mile step itself as step #1)?

Answers

This is an arithmetic sequence question
The formula for the nth term of a sequence is 1+(n-1)d where a is the first term(63360), n is the 55th term, d is the common difference between consecutive terms(63368-63360)=8
Altitude on 55th step= 63360+(55-1)8
=63360+(54x8)
=63360+432
=63792 inches

Which statement is true about the function f(x)= x?O The domain of the graph is all real numbers.
The range of the graph is all real numbers.
The domain of the graph is all real numbers less than or equal to 0.
The range of the graph is all real numbers greater than or equal to 0.

Answers

Answer:

Step-by-step explanation:

$√(x)$ only takes positive inputs and only outputs positive integers

EASY MATH QUESTION PLEASE HELP:

Answers

Step-by-step explanation:

a, b, c are real number

Then,

Always True statements are -

abc = cba
a(b + c) = ab + ac
(b - c)a = ab - ac

Answer:

ABC are real numbers

Step-by-step explanation:

The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object’s distance from the center of the circular path: a=v^2/r . Solve the formula for r.

Answers

Answer:

r = V^2/a

Step-by-step explanation:

Here, we want to write the formula for r

What this simply mean is that we want to make r the formula subject

We have this as follows;

a = V^2/r

r = V^2/a

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