12 is what percent of 75? 0.16% 6.25% 9% 16%

The correct answer is 16%

Explanation:

In mathematics, a percentage refers to a ratio or fraction of one specific amount in reference to 100; additionally, percentages can be identified because they use the symbol %. Besides this, considering the complete amount of something represents the 100%, the percentage of a specific number or quantity of the 100% can be found by multiplying 100 by the specific number and dividing this amount into the total quantity.

For example, if there is a room with 50 people and 15 of them are children you can find the percentage of children by multiplying 15 (amount of children) by 100, and dividing this into 50 (total of people) which would result in 30% (15 x 100 = 1500/ 50 = 30). This implies 12 is the 16% of 75 considering 12x100= 1200 and 1200/ 75 = 16%.

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions