Part (a)
The radius is r = 42 because OA = 42.
The circumference, aka distance around the circle, is
C = 2*pi*r
C = 2*(22/7)*42
C = 264
We're told that arc AB is 110 mm which is 110/264 = 5/12 of the full distance around the circle.
So we'll apply 5/12 to the full rotation 360 to get (5/12)*360 = 150
<h3>
Answer: 150 degrees</h3>
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Part (b)
Compute the area of the full circle
A = pi*r^2
A = (22/7)*(42)^2
A = 5544
Then take 5/12 of this because we only want 5/12 of the full circle area (to get the area of the shaded pizza slice)
(5/12)*(5544) = 2310
<h3>Answer: 2310 square mm</h3>
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Side note: Both answers are approximate because pi = 22/7 is approximate.
So, if "d" equals the diameter, we need to plug in 1.5 for "d". The equation now looks like: f(h) = 2(1.5) +4.3. Now if you multiply, it's: f(h) = 3 + 4.3, which then is: f(h) = 7.3. The height would be 7.3 in, when the diameter is 1.5 in. Hope this helps =). Have a great day!
Answer:
y^3/4x
Step-by-step explanation:
Given that the expression 6x^2/5y multiplied by some unknown gives answer as 3xy^2/10
We know that if ab = c, the b = c/a
Using the same principle, we have
unknown value = 3xy^2/10 divided by 6x^2/y
Use the fact that a/b divided by c/d = ad/bc
We get unknown = 5y(3xy^2)/6x^2 (10)
=15xy^3/60x^2
Simplify the constant part 15/60 as 1/4
xy^3 /x^2y
X term becomes x/x^2 = 1/x
so multiplying term =y^3/4x