Cosecant = hypotenuse / opposite side ( that is 1 / sine)
csc C = AC / 8
AC = sqrt (6^2 + 8^2) = sqrt 100 = 10
so cosecant of C is 10/8 = 1.25
Answer:
prolly a lot
Step-by-step explanation:
Given:
Scale of the map 1 1/4cm : 8 yards
Rectangular Park: width : 2 1/2 cm ; length : 6 1/4 cm
Circular Pond: pi = 3.14 ; diameter 1 1/4 cm
Convert mixed factions into fractions.
Scale 1 1/4 = (4*1+1)/4 = 5/4
Width: 2 1/2 = (2*2+1)/2 = 5/2
Length: 6 1/4 = (4*6+1)/4 = 25/4
Diameter: 1 1/4 = (4*1+1)/4 = 5/4
width / scale * 8 yds = width in yards
5/2 ÷ 5/4 = 5/2 * 4/5 = 20/10 = 2 * 8 yds = 16 yds
length / scale * 8 yds = length in yards
25/4 ÷ 5/4 = 25/4 * 4/5 = 100/20 = 5 * 8 yds = 40 yds
Area of a rectangular park = l * w = 40 yds * 16 yds = 640 yds²
diameter / scale * 8 yds = diameter in yards
5/4 ÷ 5/4 = 5/4 * 4/5 = 20/20 = 1 * 8 yds = 8 yds.
radius = d/2 = 8/2 = 4
Area of a circular pond = πr² = 3.14 * 4² = 3.14 * 16yds² = 50.24 yds²
Answer: Natalie make $ 367.5 in a week in which she made $225 in sales .
Natalie make $ ( 300+x ) in a week in which she made $ x in sales .
Step-by-step explanation:
Base Salary of Natalie = $300
Also, she gets 30% of the her total sales for the week.
If total sales in a week = $225
commission = 30% of $225
= $ ( 0.30 × 225)
= $ 67.5
Natalie got = Base Salary + Commission
= $300 + $ 67.5
= $ 367.5
∴ Natalie make $ 367.5 in a week in which she made $225 in sales .
If total sales in a week = $x
commission = 30% of $x
= $ ( 0.30 × x)
= $ 0.30 x
Natalie got = Base Salary + Commission
= $ ( 300+x )
∴ Natalie make $ ( 300+x ) in a week in which she made $ x in sales .
54 is 75% of x.
75% of x:
75% of x is (3/4)x and 75% of x is 54. Set (3/4)x equal to 54:
54 is 75% of
72.
