Hey there! :D
Think of this like a triangle. The dock is 15 feet above ground. It is the side of the triangle. The line connecting the bottom of the dock to the base of the conveyor belt is 40 feet. This is like the base.
The conveyor belt itself is at a diagonal, and should be the hypotenuse.
Use the Pythagorean theorem.
a^2+b^2=c^2
15^2+40^2= c^2
225+1,600= c^2
Add the values together.
1,825= c^2
Find the square root of 1,825.
c= 42.7 (rounded to the nearest tenth)
The conveyor belt is 42.7 feet long.
I hope this helps!
~kaikers
Answer:
tan(θ) = 4/3
Step-by-step explanation:
The tangent is the ratio of the y-coordinate to the x-coordinate:
... tan(θ) = (-4)/(-3) = 4/3
inside angles need to equal 180
180-75-40 = 65
now the question mark and 65 need to equal 180
180-65 = 115
answer is 115
Answer:
e. 1/(49n² +7n)
Step-by-step explanation:
Answer:
x=-9
x+2=-7
Step-by-step explanation:
Let
x and (x+2)= the two consecutive integers
x=smaller odd integer
x+2=larger odd integer
1/3 of the smaller integer plus the larger integer =7 more than the sum of the two numbers
1/3x+(x+2)= (x)+(x+2)+(7)
x/3+x+2=x+x+2+7
x+3/3=2x+9
3/3x=2x+9
x=2x+9
x-2x=9
-x=9
x= -9
The smaller odd integer=x= -9
The larger odd integer=(x+2)=-9+2
= -7
