Answer:
B
Step-by-step explanation:
There are 7 ones on the left and only 2 on the right. The two sides need to be even, or balanced.
7 = 2 + r
r = 5
Hope this helps!
1)volume of the pipeline
The pipeline is a cylinder, therefore;
Volume (cylinder)=πr²h
r=radius
h=height of the cylinder
diameter=6 in*(1 ft / 12 in)=0.5 ft
raius=diameter / 2=0.5 ft / 2=0.25 ft.
height=5280 ft
Volume (pipeline)=π(0.25 ft)²(5280 ft)=330π ft³≈1036.73 ft³.
2) we calculate the number of barrel
1 mile of oil in this pipeline is 330π ft³ of oil.
1 barrel of crude------------------5.61 ft³
x----------------------------------330π ft³
x=(1 barrel*330π ft³) / 5.61 ft³=184.8 barrels
3) we calculate the price.
1 barrel---------------$100
184.8 barrels---------- x
x=(184.8 barrels * $100) / 1 barrel=$18,480
Solution: ≈$18,480
There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.
It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.
Since the triangles are proportional,
to find the base of the big triangle
base(big)/hypotenuse(big)=base(small)/hypotenuse(small)
Plug in the numbers
x/15=3.5/7
x/15=1/2
x=15/2
x=7.5
The length of the base of the big triangle is 7.5cm
-4/2=-2
(-2)^2=4
the blank is +4
x^2-4x+4
factored
(x-2)^2