If sin theta = -4/5 and theta is in quadrant 4, the value of sec theta is _. If necessary, use the slash mark (/) for a fraction bar.

Step-by-step explanation:

What we need to find

Sec and cos are reciprocal identies and sin and cos are pythagorean identies so we can use those.Use the pythagorean identies to find cosine.

where x is theta.

Plug in -4/5 for x in sin squared.

cosine in the 4th quadrant is positve so 3/5 is cosine of theta.

Cosine and secant are reciprocal so just flip the numbers to find the secant.

25

step-by-step explanation:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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