Answer:
The distance between the end of the ramp and the bottom of the platform is about 9.8 feet
Step-by-step explanation:
use the pythagorean theorem (a²+b²=c²) to solve
a and b are the legs, c is the hypotenuse
plug in given values:
2² + x² = 10²
solve for x:
x² + 4 = 100
x² = 96
x ≈ 9.80
Answer:
The original length of each side of the equilateral triangle = x =15 inches
Step-by-step explanation:
Let Original length of side of equilateral triangle = x
If it is increased by 5 inches, the length will become = x+5
Since in equilateral triangle all the ides have same length so,
New Length of side 1 = x+5
New of side 2 = x+5
New Length of side 3 = x+5
Perimeter of triangle = 60 inches
We need to find the value of x
The formula used is:
Putting values in formula and finding x
So, the original length of each side of the equilateral triangle = x =15 inches
Answer:
1) x=0.465
2) option A.
Step-by-step explanation:
1) The given equation is:
We rewrite this as logarithm to get:
The change of base formula is:
We apply the change of base formula on the RHS to get:
Group similar terms:
2)
From the graph, the logarithmic function approaches negative infinity as x approaches -6.
Therefore the vertical asymptote is x=-6
The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.
The correct answer is A.