Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.
2 answers:
First we imagine triangle. Triangle vertices are: xy coordinate center, point (4,3) and projection of that point on x axis (x = 4). Because angle is in standard position, just from knowing (4,3) coordinates we know 2 of triangle sides and we can find its hypotenuse which will be marked as "h":
Now the sinq is:
sinq = 3/5 because of definition of sin.
sin = opposite side of triangle/hypotenuse.
answer is 3/5
Now the sinq is:
sinq = 3/5 because of definition of sin.
sin = opposite side of triangle/hypotenuse.
answer is 3/5
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The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>
a) The equation with fractions two ninths times three fourths is equal to six thirty sixths
An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.
Please find attached the area model to multiply the fractions
The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;
The equation that the model represents is therefore;
- The equation with fractions two ninths times three fourths is equal to six thirty sixths
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