Answer:
Answer should be D and E
Step-by-step explanation:
First, you need to figure out the radius of B.
As radius of A is 6 in, 20% of 6in would be 1.2in. So total radius of B = 6+1.2 = 7.2
Now you get the radius of B, calculate th area of B using the formula πr^2.
= π(7.2)^2 = 162.86 = area of B
Now, all answers except D and E is smaller than B. So, the answer would be D and E.
Answer:
x=c/a-b/a
Step-by-step explanation:
ax+b=c
1) Subtract b from both sides:
ax=c-b
2) Divide both sides by a:
x=c/a-b/a
Answer:
4 oz of water must be evaporated
Step-by-step explanation:
If we let x represent the amount of water to be evaporated, the relation between the solutions is ...
0.08 · 36 oz = 0.09 · (36 -x) oz
0.09x = 36(0.09 -0.08) . . . . . divide by oz; add .09x, subtract .08·36
x = 36· 0.01/0.09 = 36/9 = 4
4 ounces of water must be evaporated.
Answer:
x=2 and y= -3
Step-by-step explanation:
This is a simultaneous equation. To solve this type of equation, there are three methods; substitution, Elimination and Graphical.
But here, we would be using the substitution method.
3x-y=9 Equation 1
2x-y=7. Equation 2
Getting y from equation 2, we have
-y= 7-2x
Multiply both sides by -
y= 2x-7 Equation 3
Substituting y for 2x-7 in equation 1, we have
3x- (2x-7)=9
3x-2x+7=9
x+7=9
x=9-7
x=2
Substituting x as 2 in equation 3
y=2x-7
y= 2(2)-7
y= 4-7
y= -3
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 :(