Answer:
y = 7
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other, then
AC = BD , that is
AE + EC = BD [ AE = EC = 6y ]
6y + 6y = 84
12y = 84 ( divide both sides by 12 )
y = 7
Answer:
The number 1 is not necessary when expressing powers of one. For example, you needn't write "5" as 
.
Step-by-step explanation:
Answer:
39.6 cm
Step-by-step explanation:
Applying
s = 2πrθ/360................ Equation 1
Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes
From the question,
Given: r = 9 cm, θ = 252°
Constant: π = 22/7 = 3.14
Substitute these values into equation 1
s = (2×3.14×9×252)/360
s = 39.564
s = 39.6 cm
Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
We are given with the costs: 4$ entrance fee and 3$ per pound of pumpkin picked. The total amount of costs is represented by the function: y = 4 + 3x where y is the total cost of a person entering the patch and x is the number of pounds of pupmkin bought.
