Answer:
see explanation
Step-by-step explanation:
the angles in a square are right .
the diagonals bisect the angles , then
∠ OKL = 45°
The diagonals are perpendicular to each other , then
∠ MOL = 90°
All sides are congruent , so
perimeter = 4 × NM = 4 × 8 = 32
Answer:
40π/3 cm^2 ≈ 41.89 cm^2
Step-by-step explanation:
The centerline of the shaded region has a radius of 3cm+(4 cm)/2 = 5 cm. Its length is 1/3 that of the circumference of a circle with that radius (because 120° is 1/3 of 360°).
The area is the product of the centerline length and the width of the shaded area (4 cm).
shaded area = (1/3)(2π(5 cm))(4 cm)
shaded area = 40π/3 cm^2 ≈ 41.89 cm^2
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<em>Alternate solution</em>
The area of the donut is the difference in the areas of the outer and inner circles:
πr₂² -πr₁² = π((7 cm)^2 -(3 cm)^2) = 40π cm^2
The are of the shaded region is (120°/360°) = 1/3 of that, so is
shaded area = (40/3)π cm^2
Answer: someone please help bc i have no idea
Step-by-step explanation: bad werewolf
Answer:
The number = 45
Step-by-step explanation:
Let the 10s digit = x
Let the units digit = y
10*x + y = 5(x + y) Start here: remove the brackets
10*x + y + 9 = 10y + x Subtract y and 10x from both sides
Using the first equation
10x + y = 5x + 5y
5x + y - 5y = 0
5x - 4y = 0
5x = 4y
y = 5/4x
From the second equation
9 = 9y - 9x
1 = y - x Substitute y = 5/4 x
1 = 5/4x - x
1 = 1/4 x
x = 4
y = 5/4 * 4
y = 5.
As given,
Number of sheets of paper put in the binder 8 days ago = 50 sheets
Current number of sheets left after 8 days = 2 sheets
So, number of sheets used in 8 days = 
sheets
As it is stated that the same number of sheets are used each day, so number of sheets used per day = 
sheets.
Hence, 6 sheets of paper were used each day.
