Use the Pythagorean theorem
H = sqrt (8^2 + 15^2)
H = sqrt(64 + 225)
H = sqrt(289)
H = 17 km
Answer:
Part a)
Part b) Added only one side triangular face instead of three side triangular faces
Step-by-step explanation:
we know that
The surface area of a triangular prism is equal to two times the area of the base plus the area of its three triangular faces
so
Riley's error was
added only one side triangular face instead of three side triangular faces
Answer: y = 3.5 x+ 43.8
Step-by-step explanation:
Here x represents the number of years after 1990
Thus, we get the table that is used to find the equation will be,
x 0 2 4 6 8
y 45 51 57 61 75
Let the equation that shows the above data,
y = b + a x ---------(1)
By the above table,
By substituting these values in the above value of a and b,
We get b = 43.8 and a = 3.5
Substitute this value in equation (1)
we get, the equation that shows the given data is,
y = 3.5 x + 43.8
⇒ Option (3) is correct.
Method 1:By graphing, we can find the graph of y = 5log(x + 3) and y = 5 to see where they intersect.
Method 2:Alternatively, by subtracting 5 from both sides, we can find where the graph 5log(x + 3) - 5 hits the x-axis. In essence, we are finding when y hits 0 and thus, finding where it hits the x-axis.
Method 3:We can also just solve this algebraically. When we don't have any superscripts, we take the assumption that we're working in base 10.
Divide both sides by 5:
Take the inverse of log(x + 3) to both sides:
Hence, we know that at x = 7, 5log(7 + 3) = 5.
The graphs of Method 1 is pictured first, and the graph of Method 2 is pictured on the right.
The slope would be -5/4 or -1.25 because the y-intercept is (0,5) and x-intercept is (4,0), thus giving y = 5 - (5 x)\/4