Answer:
Plan C will be the fastest - it will take 10 weeks
Step-by-step explanation:
Plan A will take 60 weeks
Plan B will take the longest 104 weeks
Plan D will be the fastest - it will take 12 weeks
Answer:
$163.85
Step-by-step explanation:
Markup 45% means selling price is 100+45 = 145% of cost
145/100 × 113 = 163.85
1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x
=1
this simplifies to 1.
Scale :
Map 1 : Actual
1 cm : 2 km
1 cm : 200 000 cm | Convert 2km to 200 000cm
Answer: The scale is 1 : 200 000
Map 1 : Actual
1 cm : 200 000 cm
(x8) : (x8)
8 cm : 1 600 000cm
1 600 000 cm = 16 km
Answer: The length of the actual trail is 16 km
Map 1 : Map 2
8cm : 6cm
1cm : 0.75 cm
Answer : The scale is 1 : 0.75
Map 1 : Map 2
1 : 0.075
3mm : 0.075 x 3 = 0.225mm
4mm : 0.075 x 4 = 0.3 mm
5mm : 0.075 x 5 = 0.375 mm
Answer: The side lengths are 0.225mm, 0.3 mm and 0.375 mm
Let p = weight of papaya and g = weight of grapes.
Then (3/4)g = (3/5)p. Since the weight of grapes is x + 28,
(3/4)(x + 28) = (3/5)p. We must solve for x. To do this, mult. both sides by (5/3):
(5/3)(3/4)(x+28) = (5/3)(3/5)p
Then p = (15/9)(x+28), or (after reduction), p = (5/3)(x+28).
