Answer:
24.5672 cm² (answer rounded up to four decimal places)
Step-by-step explanation:
The area of the shaded region = The area of the circle with a diameter of 6.4 cm - the area of the two circles with diameters of 2.2 cm each
The area of the circle with a 6.4 cm diameter is:
Area(A) = π × r²
The radius here is
= 3.2 cm
A = π × 3.2² = 32.1699087728 cm² or 32.1699 cm² (rounded up to four decimal places)
The area of the the circles with diameters of 2.2 cm each is:
Area(A) = π × r²
But because the circles are two, the area will be;
A = 2 × π × R²
The radius here is 2.2 cm ÷ 2 = 1.1 cm
A = 2 × π × 1.1² = 7.60265422169 cm² or 7.6027 cm² (rounded up to four decimal places)
The area of the shaded region = 32.1699 cm² - 7.6027 cm² = 24.5672 cm²
Answer:
x = 0.3333333333
Step-by-step explanation:
Simplifying
42x = 14
Solving
42x = 14
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '42'.
x = 0.3333333333
Simplifying
x = 0.3333333333
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Answer:
y = -7/9 x +1
Step-by-step explanation:
7x + 9y = 9
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
Subtract 7x from each side
7x -7x+ 9y =-7x+ 9
9y = -7x+9
Divide each side by 9
9y/9 = -7/9 x +9/9
y = -7/9 x +1
The slope is -7/9 and the y intercept is 1