Let unit cost of one rake be : r
Given : Total number of volunteers = 12
Given : Each pair of gloves cost $8.00
⇒ Cost of 12 pair of gloves for 12 volunteers = (12 × 8) = $96
Given : The gardener spends a total of $300 on both rakes and gloves
⇒ Cost of 12 rakes + Cost of 12 pair of gloves = $300
⇒ 12r + 96 = 300
⇒ 12r = 204
⇒ r = 17
<u>Answer</u> : Cost of one rake is $17
Answer:
Step-by-step explanation:
We are given that
Length of rope=l=160 feet
Radius of quadrant of circle=r=160 feet
We have to find the maximum grazing area of the cow.
We know that
Area of quadrant of circle=
Where 
Using the formula
Area grazed by cow=
Area grazed by cow=
The slope is 9/1 hope i helped
Answer:
5.0 ft - 5.6 ft
Step-by-step explanation:
Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.
Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;
Tan α = opposite side length/adjacent length
Tan 40°= h/8
h= 8 tan 40° = 6.71 ft
Applying the cosine of an angle formula to find the length of the sliding side
Cosine β = adjacent length /hypotenuse
Cosine 40°= 8/ sliding side length
sliding side length = 8/cosine 40° =10.44 ft
Checking the perimeter = 10.44 +8+6.71= 25.15 ft
This is more than the total lengths of the boards, so you need to adjust the height as;
24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft
h≤ 5.6 ft
