Answer:
11.4 feet
Step-by-step explanation:
Using the right triangle formed by the tent pole, the ground and the guy rope, where the guy rope (g) is the hypotenuse.
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )
g = 
≈ 11.4 feet
Answer:
a = 1/8
b = 8
Step-by-step explanation:
a (1/2) ^3 = (1/2) *(1/2) * (1/2) = 1/8
b( 1/2 ) ^ -3 The negative exponent means 1 / (1/2)^3 = 1/ (1/8) = 8
Answer:
52
Step-by-step explanation:
plug in 3 if we're going by 0,1,2,3
2+ (3-1)25
2+50
52
The perpendicular line will have the x and y coefficients swapped and one of them negated. We can write the desired line as
9(x -6) -3(y -4) = 0
where the coordinates of the point of interest are (6, 4).
Dividing by 3, this is
3(x -6) -(y -4) = 0
3x -y = 14
An equation for the line of interest is ...
3x -y = 14
Lets just use
for an example. If the number is increased by 60% and the denominator is decreased by 20% we get the new fraction being:
. Since then new one is equal to 1, and the original is equal to
, we see that this manipulation of the fraction causes an increase of 100%.
