Let's call the length L, the width w.
We have w=1+L/4.
The perimeter is P=2(L+w)=24 hence L+w=12
L+w=L+(1+L/4)=5L/4+1=12
Hence L=11/5*4=8.8 meters
Answer:
D. 264°
Step-by-step explanation:
When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,
60° = 1/2[(18x - 6)° - (5x +17)°]
60° * 2 = (18x - 6 - 5x - 17)°
120° = (13x - 23)°
120 = 13x - 23
120 + 23 = 13x
143 = 13x
143/13 = x
11 = x
x = 11
(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°
(5x +17)° = (5*11 +17)° =(55+17)° = 72°
m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°
m (arc KNL) = 264°
Answer:
D
Step-by-step explanation:
given p² + 4p - 12 = 0 ← in standard form
with a = 1, b = 4, c = - 12, then the discriminant
Δ = b² - 4ac
= 4² - (4 × 1 × - 12) = 16 - (- 48) = 16 + 48 = 64 → D
Answer:
$50.84
Step-by-step explanation:
By multiplying $3.28 × 15.5 = $50.84
Answer: option A is the correct answer.
Step-by-step explanation:
The rope, the flagpole and the ground would form a right angle triangle. The length of the rope represents the hypotenuse of the right angle triangle. The vertical height of the flagpole represents the opposite side of the right angle triangle. The distance from the point where the rope is staked to the ground to the base of the pole represents the adjacent side of the right angle triangle.
To determine the height if the flagpole h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
29² = 21² + h²
841 = 441 + h²
h² = 841 - 441 = 400
h = √400 = 20 ft
