Answer:
area of circle is 113.04 (i used 3.14 for pi) 3.14 x 6^2
area of square is 24 - 12 x 2 = 24
area of square without circle is 89.04 - 113.04 - 24 = 89.04
Step-by-step explanation:
Answer:
$76.80
Step-by-step explanation:
Answer:
486 yd^2
Step-by-step explanation:
Surface area is just finding the area of each face in a figure and adding it all up.
For the surface area of a cube, use this formula:
(a^2) 6
(a is the side length) a^2 is the area of one face of a cube, then multiply it by 6 since there are 6 faces on a cube.
Use formula with given dimensions:
(9^2) 6 = 486
Surface area is measured in square yards
(yards in this case)
Therefore, the surface area of the cube is 486 yd^2
Hope this helps!
Answer:
Billy has $27.51
Step-by-step explanation:
First let's set up an equation to solve this problem.
Assign a variable to Billy's amount. Let's make it x.
Then we just interpret the problem and solve:
2x - 1.30 = 53.72
+1.30 +1.30
----------------------------
2x = 55.02
(Divide by 2 on both sides)
----------------------------
x = $27.51
2x = Billy's amount doubled
2x - 1.30 = Taking away 1.30 from double Billy's amount
53.72 = Sara's amount
Answer:
see explanation
Step-by-step explanation:
All of these questions use the external angle theorem, that is
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
18
∠3 = 43° + 22° = 65°
19
∠2 + 71 = 92 ( subtract 71 from both sides )
∠2 = 21°
20
90 + ∠4 = 123 ( subtract 90 from both sides )
∠4 = 33°
21
2x - 15 + x - 5 = 148
3x - 20 = 148 ( add 20 to both sides )
3x = 168 ( divide both sides by 3 )
x = 56
Hence ∠ABC = x - 5 = 56 - 5 = 51°
22
2x + 27 + 2x - 11 = 100
4x + 16 = 100 ( subtract 16 from both sides )
4x = 84 ( divide both sides by 4 )
x = 21
Hence ∠JKL = 2x - 11 = (2 × 21) - 11 = 42 - 11 = 31°
