Answer:
b = 33 miles
Step-by-step explanation:
The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.
5280 ft = 1 mile
735 ft = ? miles
cross multiply
735/5280
miles = 0.13920454545 miles
The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14 miles
using Pythagoras theorem
c² = a² + b²
c = 4000.14
a = 4000
4000.14² = 4000² + b²
b² = 4000.14² - 4000²
b² = 16001120.0196 - 16000000
b² = 1120.0196
b = √1120.0196
b = 33.4666938911
b = 33 miles
$820.02
Step-by-step explanation:
Since the Taylor family had cash receipts of $876.16 and their excess of cash receipts above cash payments was $56.14.
The total cash payments for the month will be calculated as:
= $876.16 - $56.14
= $820.02
Answer:The graph of a proportional relationship is a straight line that passes through the origin. Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph.
Step-by-step explanation:
Call the angles of depression D.
then tan(D)=20/30, or I
arctan(tan(D)) = arctan(⅔)
D=33.690. A is the answer
your calculator probably uses tan^-1 rather than arctan
Answer:
1306.24 cm².
Step-by-step explanation:
From the diagram given above, we obtained the following information:
Radius (r) = 13 cm
Pi (π) = 3.14
Slant height (l) = 19 cm
Surface Area (SA) =.?
The surface area of the cone can be obtained as follow:
SA = πr² + πrl
SA = πr ( r + l)
SA = 3.14 × 13 ( 13 + 19)
SA = 40.82 (32)
SA= 1306.24 cm²
Therefore, the surface area of the cone is 1306.24 cm².
