The area of the plastic used to form the lampshade is 2021.25 square centimeters
<h3>How to determine the area of the plastic used to form the lampshade?</h3>
The given parameters in the question are:
Outer radius, R = 28 cm
Inner radius, r = 7 cm
Angle, ∅ = 315
The area of the plastic used to form the lampshade is calculated using the following area of sector formula
A = ∅/360 * π(R² - r²)
Substitute the known values in the above equation
A = 315/360 * 22/7 * (28² - 7²)
Evaluate the exponents
A = 315/360 * 22/7 * (784 - 49)
Evaluate the difference
A = 315/360 * 22/7 * 735
Evaluate the product
A = 2021.25
Hence, the area of the plastic used to form the lampshade is 2021.25 square centimeters
Read more about sector areas at:
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4:10 because its sandwiches to milk cartons
Since < ABD is a right triangle (with a measure of 90 °), we can establish the formula to solve for the value of x:
Let < BAC = m < 1 = (15x - 2)°
< CAD = m < 2 = (7x + 4)°
Use the formula:
m < 1 + m < 2 = 90°
Substitute the values of m < 1 and 2:
15x - 2 + 7x + 4 = 90°
Combine like terms:
22x + 2 = 90°
Subtract 2 from both sides:
22x + 2 - 2 = 90° - 2
22x = 88°
Divide both sides by 22:
22x/22 = 88/22
x = 4
Now that we have the value of x, we can plug this value into the given angles:
< BAC = m < 1 = (15x - 2)° = 15(4) - 2 = 58°
< CAD = m < 2 = (7x + 4)° = 7(4) + 4 = 32°
m < 1 + m < 2 = 90°
58° + 32° = 90°
90° = 90° (true statement).
Therefore, (15x - 2)° = 58° and (7x + 4)° = 32°.
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Answer:
y = (1/8) x
Step-by-step explanation:
recall that slope - intercept form of a linear equation looks like
y = mx + b,
where m is the slope and b is the y-intercept
all we need to do is to rearrange the equation so that it looks like the equation above.
given:
x=8y (flip sides)
8y = x (divide both sides by 8)
8y/8 = x/8
y = x/8
y = (1/8) x
Answer:
a) Line perpendicular to AB , that crosses AB in the mid point.
b)bisectors (2 different) of the angle XOY. O is the crosspoint of the axis x and axis y
Step-by-step explanation: