Answer:
The distance of the bottom of the ladder be from the bottom of the building is = 15 feet
Step-by-step explanation:
Given:
Length of the ladder =17 ft
Height of the building = 8 ft
To find the length between the bottom of the ladder and the bottom of the building.
Solution:
On drawing out the situation, we find out that a right triangle is formed with the ladder being the hypotenuse and the building being a leg of the right triangle.
<em>We need to find the length of the other leg of the triangle which is the distance from the bottom of the ladder to the bottom of the building.</em>
Applying Pythagorean theorem:
Plugging in values in feet from the given data.
Simplifying.
Subtracting both sides by 64.
Taking square root both sides.
∴ 
Thus, distance of the bottom of the ladder be from the bottom of the building is = 15 feet
The correlation coefficient is independent of changes in origin or scale.
b) The correlation coefficient would remain unchanged (whatever its decimal value may be)
c) The correlation coefficient does not change.
Let x be the initial amount of money. We know that mum spent 2/3 of this amount, so she's left with
Of this remainder, only 1/4 was deposited, which is
And this amount equals 20, so we have
Answer:
8 inches
Step-by-step explanation:
The surface area of a cone (without the base) is given by:
Surface area = pi*r*s
Where r is the base radius and s is the slant height.
The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:
41.6pi = pi*r*s
41.6 = 6.4s
s = 6.5 in
If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:
r'/s' = r/s = 6.4/6.5
s' = r'*6.5/6.4
So for the larger cone, we have:
65pi = pi*r'*s'
65 = r'*r'*6.5/6.4
r'^2 = 64
r' = 8 inches
No it's 2.125 so it's not repeating
