34567890987654321234567898765432
Answer:
66.67 %
Step-by-step explanation:
The surface area of a cake (cylinder) = 2πr² + 2πrh
but since we are not including bottom for chocolate cake so the formula changes to = 2ℎ+²
<h3>
S.A of cake </h3>
πr² + 2πrh
π4² + 2π(4)(4)
16π + 32π
48π inches
<h3>
S.A of chocolate</h3>
2ℎ+²(top)
24(2) + (4)²
16 + 16
32 inches
Percentage of cake that is chocolate = S.A of chocolate/S.A of cake * 100%
Percentage of cake that is chocolate = 32 inches/48π inches * 100%
Percentage of cake that is chocolate = 66.67%
(Assuming that top of chocolate is included)
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (1, 5)
Point (-8, 4)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:

- [√Radical] (Parenthesis) Subtract:

- [√Radical] Evaluate exponents:

- [√Radical] Add:

Answer:
<h3>X=-1/8=-0.125</h3>
Step-by-step explanation:
Isolate x on one side of the equation.
x+2/4=3/8
2/4=1/2 (First, use the common factor of 2.)
x+1/2=3/8
x+1/2-1/2=3/8-1/2 (Then, subtract 1/2 from both sides.)
3/8-1/2 (Solve.)
3/8-1/2=-1/8
-1/8=-0.125
x=-1/8=-0.125
In conclusion, the final answer is x=-1/8=-0.125.
Answer:
Step-by-step explanation:
1). In ΔABC,
For angle A as a reference angle,
Opposite side of ∠A → BC
Adjacent side of ∠A → AC
Hypotenuse → AB
2). By using tangent ratio in ΔYWZ,
tan(72°) = 
tan(72°) = 
x = 
x = 3.899
x ≈ 3.9
3). By using sine rule in ΔKNM,
tan(x°) = 
tan(x) = 
x = 
x = 19.03
x ≈ 19.0°
4). By applying cosine ratio in ΔJKF,
tan(70°) = 
tan(70) = 
x = 
x = 21.838
x ≈ 21.8