Answer:
B. is a polynomial. it has 4 (or more) terms with variables. the others are mono. ,bino. ,and trinomials
Answer:
C. s= 75
Step-by-step explanation:
One radian is the angle subtended by an arc length equal to the radius of the circle.
∅=s/r where s is the arc length ∅ the angle and r the radius of the circle.
Thus s=∅×r
In the circle provided arc s subtends and angle of 5 radians.
s= 5 radians× 15
=75
Answer:
a.
<u>cos θ = 2/5, tan θ = ?</u>
- tan θ = sin θ / cos θ
- tan θ = √sin² θ / (2/5)
- tan θ= 5√(1 - cos²θ) / 2
- tan θ = 5√(1 - 4/25) / 2
- tan θ = 5√(21/25) / 2
- tan θ = √21 / 2
b.
<u>cosec θ = 7/3, cos θ = ?</u>
- cosec θ = 1/ sin θ
- cosec θ = 1/ √(1 - cos²θ)
- √(1 - cos²θ) = 1 / cosec θ
- 1 - cos²θ = (1 / (7/3))²
- cos²θ = 1 - 9 / 49
- cos²θ = 40/49
- cos θ = √40/49
- cos θ = 2√10/7
c.
<u>cot θ = 4/3, sec θ = ?</u>
- cot θ = cos θ / sin θ
- cos θ = cot θ * sin θ
- cos θ = 4/3 * √(1 - cos²θ)
- 9cos²θ = 16(1 - cos²θ)
- 25cos²θ = 16
- cos²θ = 16/25
- cos θ √16/25
- cos θ = 4/5
- sec θ = 1/ cos θ
- sec θ = 1/ (4/5)
- sec θ = 5/4
d.
<u>tan θ = 3, cosec θ = ?</u>
- sin²θ + cos²θ = 1
- 1 + cos²θ/sin²θ = 1/ sin²θ
- 1 + 1/tan²θ = cosec²θ
- 1 + 1/9 = cosec²θ
- cosec²θ = 10/9
- cosec θ = √(10/9)
- cosec θ = √10 / 3
Answer:
The width of the rectangle is 5 inches.
Step-by-step explanation:
Perimeter of a rectangle: 2L+2W where L=length and W=width
P=56
56=2(4W+3)+2W
56=8W+6+2W
56=8W+2W+6
56=10W+6
56-6=10W
50=10W
W=50/10=5
W=5
L=4W+3=4(5)+3=20+3=23