Answer:
14
Step-by-step explanation:
The law of cosines is a² = b²+c²-2bc(cos A).
We will use s in place of a, since it is the unknown side. This makes b and c 8 and 9.
Angle A will be the angle opposite side a, or in this case side s. This makes it 111.
This gives us
s² = 8²+9²-2(8)(9)(cos 111)
s² = 64+81-2(8)(9)(cos 111)
s² = 145-144(cos 111)
s² = 196.605
Take the square root of each side:
√(s²) = √(196.605)
s = 14.02 ≈ 14
Answer:
(2,12)
Step-by-step explanation:
Original point is given as (2,-4) and the image point is give as (-3,6).
How do we get from x=2 to x=-3? We move left 5 units from x=2.
How do we get from y=-4 to y=6? We move up 10 units from y=-4.
So let's do this translation to the point (7,2)
Starting at x=7 we move left 5 units to get x=7-5=2.
Starting at y=2 we move up 10 units to get y=2+10=12.
The new point is (2,12)
Answer:
Step-by-step explanation:
What
are you calculating area or circumference??
4 / (1/4 - 5/2)
4 / (1/4 -10/4)
4 / (-9/4)
4 x (-4/9) = -16/9
Answer:
11.25 cups of water is needed to cook 5 cups of Beans.
Step-by-step explanation:
Given:
The amount of water required varies directly with the cups of beans.
2 cups of beans require 4.5 cups of water.
we need to find how many cups of water are needed to prepare 5 cups of beans.
4.5 cups of water =2 cups of bean
Number of cups of water = 5 cups of bean.
Now Using Unitary method for solving above we get,
Number of cups of water required = 
Hence 11.25 cups of water is required to prepare 5 cups of beans.
