Step-by-step explanation:
This can be put into fractions like this
Say x is the length of the missing dimension
8.5/11 = 10.5/x
Because the 2 drawings are SIMILAR, the ratio of their side lengths has to also be the same
8.5 ÷ 10.5 = 0.8095
11 × 0.8095 = 8.9047
Roung the answer to the nearest tenth
x = 8.9 in
Volume of the shape
= 4ft * 4ft * 15ft
= 240ft³
Answer: Georgia used 10 dollies and she has left 4 dollies .
Step-by-step explanation:
Given: Georgia bought a package of of 14 dollies to use in her valentines.
Therefore, the number of dollies in a package = 14
If she used 
of the package to make her in valentines.
The number of dollies she used = 
The number of dollies left = 
Hence, Georgia used 10 dollies and she has left 4 dollies .
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.
