Answer:
-7
Step-by-step explanation:
Answer:
First find the inner angle:
[ given hypotenuse = 500 ft ]
using sine rule:




using pythagoras theorem:
Answer:
ABCD is a rhombus
Step-by-step explanation:
Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...
AB = CD
2x +1 = 3x -11
12 = x . . . . . . . . add 11-2x to both sides
Sides AB and CD have length ...
2x +1 = 2(12) +1 = 24 +1 = 25
Then the length of side AD is ...
AD = x +13 = 12 +13 = 25
Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.
Answer:
$8,240
Step-by-step explanation:
We are given that,
Principle amount in the savings account, P = $5,000.
Rate of interest, r = 5% = 0.05
Time period, t = 10
Also, the interest is compounded monthly, n = 12
As, we now that the value of the investment is given by 
Thus, we have,
Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = $8,240
Hence, the investment amount after 10 years is $8,240.
X = 180 - 150 = 30°
z = 180 - 100 = 80°
y = 180 - 30 - 80 = 70°
Answer: x = 30, y = 70, z = 80