Answer:
x ≈ 18
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA
- a is a side length
- b is a side length
- c is a side length
- A is an angle corresponding with side a
Step-by-step explanation:
<u>Step 1: Define</u>
a = x
A = 30°
b = 16
c = 30
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: x² = 16² + 30² - 2(16)(30)cos30°
- Exponents: x² = 256 + 900 -2(16)(30)cos30°
- Evaluate: x² = 256 + 900 -2(16)(30)(√3/2)
- Multiply: x² = 256 + 900 - 480√3
- Add: x² = 1156 - 480√3
- Subtract: x² = 324.616
- Isolate <em>x</em>: x = √324.616
- Evaluate: x = 18.0171
- Round: x ≈ 18
Answer:
Step-by-step explanation:
2+2=4 that give you your answer
0.45 (weight of each cupcake) *100 (number of cupcakes) = 45
The box of 100 cupcakes will weight 45 pounds. :)
Answer: 48 sweets
Step-by-step explanation:
Let the total number of sweets be X
Thereforee, 5X/11 + 6X/11 = X.
When Sarah ate 16 sweets, the ratio of sweets left is 1 : 2.
[(5X/11) - 16] / [6X/11] = 1/2.
Cross multiply,
10X/11 - 32 = 6X/11
10X/11 - 6X/11 = 32
4X/11 = 32
4X = 32 × 11
4X = 352
X = 352/4
X = 88
therefore, sarah = 5X/11
= (5 × 88) ÷ 11 = 440/11 = 40
Henry = 6X/11
= (6 × 88) ÷ 11
= 48
Therefore, the original ratio was:
5 : 6 = 40 : 48
Sarah ate 16 sweets, her balance is:
40 – 16 = 24
Sarah : Henry = 24:48 = 1:2
Henry has 48 sweets.
<span>A
hair stylists works ¼ to trim customer’s hair
=> 1/6 to style customer’s hair
=> 1/6 + ¼
Find the least common multiple of both denominator:
=> 1/6 + ¼ = 10/24
Simplify
=> 5/12
Now, he works 3 1/3 hour each day in 5
days
=> 3 1/3 x 5
=> 16 ½ hours in 5 days
Now, divide
=> 16 ½ divided by 5/12
=> 39 ; approximately 39 customer in 5 days can a hairstylist accommodate.</span>
