If θ is an angle in standard position and its terminal side passes through the point (-4,-3), find the exact value of secθ in simplest radical form.

Step-by-step explanation:

point(-4,-3) shows that it lies in 3rd quadrant.Hence cos θ and sec θ are both negative.

radius vector r=√[(-4)²+(-3)²]=5

cos θ=-4/5

sec θ=-5/4

d 192

step-by-step explanation:

we find our area to find area we multiply thoses numbers to get our answer so our area is 192

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.