Answer: $582,400
Step-by-step explanation:
Hi, to answer this question we have to write a proportion.
Proportion = square feet/ cost
Since a 1425 square feet shop cost 45600 to lease, the proportion is equal to: 1425/45600
For a 1820 square feet shop: 1820/x
Where x is the cost per year for leasing a 1820 square feet shop
1425ft/$456000= 1820ft/$x
1425/456000=1820/x
Solving for x:
x = 1820/(1425/456000)
x = $582,400
Given:
JK is tangent to a circle with center H
To find:
The length of HK.
Solution:
The image is attached below.
JK = 8 mi, HJ = 15 mi
JK is tangent to a circle.
The tangent is always perpendicular to the radius.
Therefore, m∠J = 90°
Using Pythagoras theorem:
HK² = JK² + HJ²
HK² = 8² + 15²
HK² = 64 + 225
HK² = 289
HK² = 17²
Taking square root on both sides.
HK = 17
The length of HK is 17 mi.