Answer:
x = 7
Step-by-step explanation:
Given is the figure of a kite.
Opposite sides are equal... (given)
Since, measures of the angles opposite to equal sides are equal.
Also, diagonals of a kite interests at right angles.
Therefore,

Therefore,
Answer:
Height of the cliff = 13.66 m
Step-by-step explanation:
Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.
From right triangle AOC,
tan 30° = 

y =
------(1)
From right angle triangle BOC,
tan 45° = 

x = y - 10
y = x + 10 -------(2)
From equations (1) and (2),



x = 13.66 m
Therefore, height of the cliff is 13.66 m.
Answer:
5.6
Step-by-step explanation:
Divide :)
Answer:
Ed Moura invest $64000 in certificates of deposit paying 3%
Step-by-step explanation:
Ed Moura has $32000 invested in stocks paying 6%.
Additional money in certificates of deposit paying 3% =x
so that the average return on the two investments is 4%.
32000*6% +3%*x = 4%(32000+x)
32000*0.06 +0.03*x = 0.04(32000+ x)
1920 + 0.03x = 1280 +0 .04x
1920 - 1280 = 0.04x - 0.03x
0.01x = 640
x = 64000
x = $64000
x= $64000 in certificates of deposit paying 3%
Thank you.
The quotient is 16. Because 16 0.5s go into 8