Answer:
circumference of the cake board = 109.9 cm
Step-by-step explanation:
diameter of cake = 30cm
diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm
radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm
radius of cake board = 17.5 cm
circumference of a circle = 2 × π × r (where π = 3.14)
circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm
Therefore the circumference of the cake board = 109.9 cm
Answer:
(2x+18) degrees
Step-by-step explanation:
A triangle is a total of 180 degrees, so you would do:
(2x+18)+55+(4x+11)=180
(2x+4x)+(18+55+11)=180 <- take out parentheses and add like terms
6x+84=180 <- subtract 84 from both sides of the equation
6x=96 <- divide 6 from each side
x=16
Now that you know what x is you would plug it into each of the angles
Angle 1: 2x+18 --> 2(16)+18= 32+18= 50
Angle 2: 55
Angle 3: 4x+11 --> 4(16)+18= 64+18= 82
Then out of these three angles of the triangle, angle 1 (2x+18) would be the smallest.
Answer:
volume of given figure is
Step-by-step explanation:
volume = product of all dimensions
- v = 2 × 6 × 14
- v = 168 cubic feet
Answer:
Any line with the slope of 2/3 would be perpendicular.
Step-by-step explanation:
To find this, first solve the equation for y.
-2y = 3x + 7
y = -3/2x - 7/2
Perpendicular lines always have opposite and reciprocal slopes. Therefore, we flip the slope in the original equation (-3/2 becomes -2/3) and then we change the sign (-2/3 becomes 2/3)
