Sin ø = opposite/hypotenuse = 2/3, cos ø = adjacent/hypotenuse = ?/3, tan ø = opposite/adjacent = 2/?, sec ø = 1/cos ø
to solve ?, Pythagorean theorem must be applied
hypotenuse^2 = adjacent^2 + opposite^2
Manipulating the equation to find the adjacent value = ?
adjacent = sqrt(hypotenuse^2 - opposite^2) = sqrt(9-4)
adjacent = sqrt(5)
so cos ø = sqrt(5)/3, tan ø = 2/sqrt(5) and sec <span>ø = 3/sqrt(5) since the value is positive the possible equivalent trigonometric function should be positive, the answer should be b </span>
51/2x-7=62
- Multiply both sides by 2x-7
×(2x-7) = 62(2x-7)
2. Switch sides
62(2x-7) = 51
3. Divide each side by 62
= 
4. Simplify
2x-7 = 51/62
5. Add 7 on both sides
2x-7+7 = (51/62)+7
6. Simplify
2x = 485/62
7. Divide both sides by 2
2x/2= 485/62/2
x= 485/124
A = (1/2) * apothem * pperimeter
A = (1/2) * 4.2 * (4 * 7)
A = 58.8 inches
Answer:
C
Step-by-step explanation: