Step-by-step explanation:
your teacher was very nice and warned you about the trap in the question.
so, really, what do we have to do ?
a full circle represents 360°.
the shaded sector is the full circle minus the white sector !
this is the same as directly calculating the shaded sector for 360-75 = 285°.
so, the area of a circle is
pi×r²
in our case
pi×20² = 400pi
the needed fraction of the whole circle is either
75/360, if we want to subtract it for the solution
or
285/360, if we want to calculate the solution directly.
both lead to the same result.
400pi×360/360 - 400pi×75/360 =
= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =
= 316.6666666...pi ≈ 316.7pi
D=dimes
Q=quarters
D=32+Q
Q=?
D+Q=$11.6
D=(32*10)+Q=
$3.2+Q
$11.6-$3.2=$8.4
Each quarter must include 1 dime from now on because there’s 32 MORE dimes than quarters. $8.4/$0.35=24. (Divide 8.4 dollars by 1quarter+1dime, which is 35 cents.)
35 cents goes into $8.4 dollars 24 times. This means there’s 24 quarters and 24 more dimes. Returning to our original equations,
D=32+24
D=56
Q=24
This follows the rule of having 32 more dimes than quarters and the two add up to the correct amount, $11.60
There’s 56 dimes and 24 quarters
Subtract 80 _ 65 and get 15
Answer:
B
Step-by-step explanation:
The line on the left has a negative slope of - 1 and a y- intercept at 2
The line has a closed circle at x = 1, thus
- x + 2 for x ≤ 1
The line on the right has a positive slope of 1 and a projected y- intercept at 1
The start of the line has an open circle at x = 1 indicating it cannot equal 1, thus
x + 1 for x > 1
The definition for the function is B
