let h be the number of hours then
A → C = 150h + 250 ( where C is charge )
B → C = 175h + 150
for 26 hours
A → C = (150 × 26 ) + 250 = 3900 + 250 = $4150
B → C = (175 × 26 ) + 150 = 4550 + 150 = $4700
Attorney A is cheaper for 26 hours, thus better deal
Equate the 2 equations to find hours they charge the same
175h + 150 = 150h + 250 ( subtract 150h from both sides )
25h + 150 = 250 ( subtract 150 from both sides )
25h = 100 ( divide both sides by 25 )
h = 4 ← number of hours when charges for both are equal
Thus Attorney A becomes a better deal at 5 hours
The son gets 1/3 of 42,000, so you divide 42,000 by 3 and get the amount Mr. Joshi gave to his son. Then you do the same for charity, but instead divide 42,000 by 5. Then you add both values and subtract them from 42,000, and then you have what he gave to his wife.
x (amount wife got) = 42,000 - [(42,000/3) + (42,000/5]
x = 42,000 - [14000+8400]
x = 42,000 - 22,400
x = 19,600
Hope this helps!
the equation of the line has form
y=kx+b
, so
The second line is parallel to the first and runs 7 units lower, so b=5
1) What is the slant height x of this square pyramid? Express your answer in radical form
sin 60=x/4--------> x=4*sin 60------> 4*(√3/2)-------> 2 √3 m
the answer Part 1) is 2 √3 m
2) The base of a regular pyramid is a hexagon. What is the area of the base of the pyramid?
[area of the base}=[area of hexagon]
[area of hexagon]=6*[area of triangle]
area of triangle
sin 60=a/14-------> a=(√3/2)*14-------> a=7√3 cm
cos 60=(b/2)/14--------> (b/2)=cos 60*14-----> (1/2)*14---------> (b/2)=7
base of triangle=2*7--------> b=14 cm
[area of triangle]=14*7√3 /2--------> 49√3 cm²
so
[area of hexagon]=6*[49√3]--------> 294√3 cm²
180 degrees - 46 degrees
= 34 degrees
