Answer:
.
Step-by-step explanation:
.
You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
The letter (Z) is the symbol used to represent integers. An integer can be 0, a positive number to infinity, or a negative number to negative infinity.
Answer:
523.6 cm^3
Step-by-step explanation:
We know the diameter is 10. The radius is half the diameter, so 10/2=5.
Knowing the radius is 5, we just need to plug it into the formula.
Volume=(4/3)pi5^3
≈523.6
Answer:523.6 cm^3
<h3><em>Answers:</em></h3><h2 /><h2>1/4 + 2/3 =11/12</h2><h2 /><h2>2/5-1/10= 3/10</h2><h2 /><h2>1/6+1/4=5/12</h2><h2 /><h2>5/8-1/4=3/8</h2><h2 /><h2>7/8-1/2=3/8</h2><h2 /><h2>3/10+4/5=11/10 or 1 1/10</h2><h2 /><h2>5/6-2/5=3/5</h2><h2 /><h2>5/12-1/4=1/6</h2><h2 /><h2>7/16+1/8=9/16</h2><h2 /><h2>11/16+5/8=21/16 or 1 5/16</h2><h2 /><h2>2/7+1/2=11/14</h2><h2 /><h2>4/5+3/4=31/20 or 1 11/20</h2>
