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.

36

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500