9514 1404 393
Answer:
A) 504
B) 8
Step-by-step explanation:
The statement of proportionality can be written as the equation ...
m = kr²
Then we can find k from ...
k = m/r² = 14/2² = 7/2
That is, ...
m = (7/2)r²
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Using this relation, we can find m for r=12:
m = (7/2)·12² = 7·72
m = 504 . . . for r = 12
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And, we can use the same equation to solve for r when m=224.
224 = 7/2·r²
r² = 64
r = √64
r = 8 . . . for m = 224
8(number of soup) times 3 =x (number of vegetable cans)
Parentheses first
9q-14+3q-3(8)=7
9q-14+3q-24=7
Combine like terms
9q + 3q - 14 - 24 = 7
12q -38=7
add 38 to both sides
12q - 38 + 38 = 7 + 38
12q = 45
divide both sides by 12
q = 45/12
q = 3.75
8) The figure is a heptagon. This means the sum of the interior angles would be 180(7-2) = 5 * 180 = 900. Then this means you can say that the sum of all angles would equal 900.
(133 + 106 + 120 + 133 + (13 - 9)) + (m + m + m) = 900
-------Combine Like terms----------
496 + 3m = 900
-------Subtraction------------
3m = 404
--------Division--------
m = 404/3
If the answer doesn't seem right, just plug it in!
496 + 3(404/3) = 900
496 + 404 = 900
900 = 900
10) Same thing. The sum of the interior angles in a pentagon are 540.
(122 + 90 + 88 + 96) + k = 540
396 + k = 540
k = 144
11) The angle supplementary to the angle which measures 138 is 42. The sum of all the interior angles of a quadrilateral is 360. Let us call the missing INTERIOR angle x.
(104 + 98 + 42) + x = 360
244 + x = 360
x = 116
So the missing EXTERIOR angle is 180 - 116 which is 64.
12 is a bit confusing without showing you sorry :(
