Answer:
all real numbers
Step-by-step explanation:
The domain is the input values
All values for x are valid as inputs to the function
Answer:
He must start his journey by 11 AM
Step-by-step explanation:
Speed of Toshi while walking up the mountains is 1.5 kilometres per hour
Speed of Toshi while walking down the mountains = 2 * Speed of Toshi while walking up the mountains = 3 kilometres per hour
Time taken to travel 9 Km in the upward direction by Toshi = 9 Km/1.5 kilometres per hour = 6 hours
Time taken to travel 9 Km in the downward direction by Toshi = 9 Km/3 kilometres per hour = 3 hours
He will take total 6 hours + 3 hours = 9 hours to travel 18 Km distance
Thus, He must start his journey by 11 AM
To know what kind of triangle is it. use the pythagorean theorem:
A^2 + B^2 = C^2,
where C is the longest side of the triangle
if it satisfies the equation then it is a right triangle
if it does not then A^2 + B^2 > C^2 so it is acute triangle
if A^2 + B^2 < C^2 it is obtuse triangle
18^2 + 13^2 ? 27^2
324 + 169 ? 729
493 < 729 so it is obtuse triangle
Answer:
The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.
Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.
We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.
We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.
Solving for "h", we get h = LSA / (s1+s2+s3)
For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20
Answer:
$514.50
Step-by-step explanation:
7+4+2+8=21
$12.25x21=$514.50
