Answer: 47.4 yds.
So, if this is a right triangle then you will have a hypotenuse, opposite Leg, and the adjacent. I get it that the first Leg is X an the other is 40 and the hypotenuse is 62.
C=62
A=40
B= X
We gonna use the Pythagorean theorem to solve this problem
C^2=a^2+b^2
62^2=40^2+x^2
x^2 = (62^2) -(40^2)
x^2= 3844-1600
x^2= 2244
x= 47.3708771293
X = height of bush
12/3.5 = 3.2/x [cross multiply]
(12)(x) = (3.2)(3.5)
12x = 11.2 [Divide 12 on both sides]
x = 0.93 m
The height of the bush is 0.93 meters.
Best of luck.
Answer:
y=2x
Step-by-step explanation:
it is a proportional relationship and the slope is 2
Answer:
{x,y} = {-2,-3}
Step-by-step explanation:
System of Linear Equations entered :
[1] -9x + 4y = 6
[2] 9x + 5y = -33
Graphic Representation of the Equations :
4y - 9x = 6 5y + 9x = -33
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 5y = -9x - 33
[2] y = -9x/5 - 33/5
// Plug this in for variable y in equation [1]
[1] -9x + 4•(-9x/5-33/5) = 6
[1] -81x/5 = 162/5
[1] -81x = 162
// Solve equation [1] for the variable x
[1] 81x = - 162
[1] x = - 2
// By now we know this much :
x = -2
y = -9x/5-33/5
// Use the x value to solve for y
y = -(9/5)(-2)-33/5 = -3
Answer:
13! or 6227020800
Step-by-step explanation:
With no restrictions, we can figure out the answer to be 13! by the following analysis:
For the first position in line, there are 13 different students who could fill that spot. If we fill it and proceed to the next position in line, there are now only 12 students left who can fill it, since one is already in line. Then the next position only has 11 possibilities, and the next 10, and so on.
Multiplying all of this together gives us 13*12*11*10*9*8*7*6*5*4*3*2*1 or 13!
