Answer:
$27.2
Step-by-step explanation:
A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression (0.85).32 represents the final price of the cake in dollars.
This is explained in the calculation below
= A cake that costs $32 is on sale for 15% off
The amount off the cake is calculated as
= 15% of $32
= 15/100 × 32
= $4.8
The amount he is paying for the cake =>$32 - $4.8
= $27.2
The above expression is obtained as
(0.85).32
= (100% - 15%) × 32
=( 1 - 0.15) × 32
= 0.85 × 32
= $27.2
The final price of the cake = $27.2
Answer:
The surface area of the cylinder is 276.32m²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
To calculate the area of the circle we use the following formula
a = area
r = radius = 2m
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (2m)²
a = 3.14 * 4m²
a = 12.56m²
The area of the circle is 12.56m²
To calculate the lateral area of the cylinder we use the following formula
a = area =
h = heighti = 20m
r = radius = 2m
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 2m * 20m
a = 6.28 * 40m²
a = 251.2m²
The lateral area of the cylinder is 251.2m²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
251.2m² + (2 * 12.56m²) = 276.32m²
The surface area of the cylinder is 276.32m²
Answer:
ΔCFG is an isosceles triangle.
Step-by-step explanation:
From the picture attached,
From ΔABF and ΔEDG,
Conditions for ΔABF and ΔEDG by SSS property of congruence,
1). AB ≅ DE [Given]
2). (BC + CF) = (DF + CG)
CF = CG [Given → BC = DF]
3). FA ≅ EG
(AG + GF) ≅ (EF + GF)
AG ≅ EF
Since, two sides of ΔCFG are equal in measure
ΔCFG is an isosceles triangle.
Line of sym is. x= -12/2*2 =-3
plug 3 in to original equation to get 2*9+12*-3-5 =23
vertex is 3, -23
Answer:
5x + y = 26
Step-by-step explanation:
Step 1: Distribute
y - 1 = -5x + 25
Step 2: Add 1 to both sides
y = -5x + 26
Step 3: Move 5 to the other side
5x + y = 26