Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° = and tan60° =
, then
sin60° = =
=
( cross- multiply )
x = 4
( divide both sides by
)
x = 4
and
tan60° = =
=
( multiply both sides by y )
y = 2
( divide both sides by
)
y = 2
Answer:
The equipment will cost $1740.
Step-by-step explanation:
Let the Cost of equipment, furniture and decoration be x, y and z.
Now, According to question,
x + y + z = 3600 ...... (1) (cost of all items)
x = 500 + y (∵ equipment cost 500 more than furniture)
and y = 2z ( ∵ furniture twice as much as decoration)
so, z = y/2
Now substituting the value of x and z in eq (1)
So, the cost of furniture (y) = 1240
∴ Cost of equipment = y + 500 = 1240 + 500 = 1740
Therefore the cost of equipment was $1740.