Answer:
27 miles
Step-by-step explanation:
Find the rate or speed that Shawn hikes at. Find this reduced to lowest terms.
speed = distance / time
speed = 12 miles / 4h
speed = 3miles / h
Every hour, Shawn hikes 3 miles.
Multiply speed by time to find distance.
3mph X 9h = 27 miles
Therefore Shawn could hikes 27 miles in 9 hours.
Answer: 98.6 - x ≥ 2 or x - 98.6 ≥ 2
Step-by-step explanation:
Since, the normal temperature = 98.6° F
Also, the temperature that differs from normal by at least 2°F is considered unhealthy.
If the temperature is x degree F,
Then, we have two conditions,
Condition 1 : x > 98.6,
The difference between 98.6 and x = x - 98.6
Then the inequality be,
x - 98.6 ≥ 2
Condition 2 : x < 98.6
The difference between 98.6 and x = 98.6 - x
Then the inequality be,
98.6 - x ≥ 2
Answer: it will cost $280
Step-by-step explanation:
The diagonal of the rectangular garden divides it into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 24² + 32²
d² = 576 + 1024 = 1600
d = √1600
d = 40 feet
If the path is 2 feet wide, then the area of the path is
Area = 40 × 2 = 80 ft²
If gravel costs $3.50 a square foot, then the cost to install the gravel path is
3.5 × 80 = $280
Answer:
(a) θ = π + 4πn
(b) θ = π
Step-by-step explanation:
(a) sin(θ/2) − 1 = 0
sin(θ/2) = 1
θ/2 = π/2 + 2πn
θ = π + 4πn
(b) Try different values of n.
n = -1, θ = -3π
n = 0, θ = π
n = 1, θ = 5π
If 0 < θ < 2π, then θ = π.
6 8/10
simplify (divide by 2 )
6 4/5
