To solve for cos use
adjacent over hypotenuse
divide the lengths of the sides
adj. / hyp.
Answer:
John has $21.
Step-by-step explanation:
Let John's "wealth" be w. Then 2w+8 = 50, or 2w = 42, or w = 21.
John has $21. Eight more than twice this is 42+8 = 50, as expected.
Answer:
98 ft²
Step-by-step explanation:
There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...
A = (1/2)(14 ft)(14 ft) = 98 ft²
Of course the area of the square from which it is cut is ...
A = (14 ft)² = 196 ft²
So, the net area of the two triangles shown is ...
A = (196 ft²) - (98 ft²) = 98 ft²
_____
Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...
A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)
We can factor out 7 ft to get ...
A = (7 ft)(x ft + (14 -x) ft)
A = (7 ft)(14 ft) = 98 ft²
6 divided by 1.89= 3.17 so you can say she bought 3 bottles of fruit juice
