Answer:
x ≈ 58.9
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- [Right Triangles Only] tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the missing side length.
<u>Step 2: Identify Variables</u>
<em>POV from the angle measure</em>
Angle = 23°
Opposite Leg = 25
Adjacent Leg = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitution [tangent]: tan23° = 25/x
- Multiply <em>x</em> on both sides: xtan23° = 25
- Isolate <em>x</em>: x = 25/tan23°
- Evaluate: x = 58.8963
- Round: x ≈ 58.9
Answer:
It's a tie!
Step-by-step explanation:
The reason it was a tie is because
56/98 = 0.57 meaning that 57% of Restaurant A won
84/147 = 0.57 meaning that 57% of Restaurant B also won!
Answer:
![v\sqrt[28]{v^{13}}](https://tex.z-dn.net/?f=v%5Csqrt%5B28%5D%7Bv%5E%7B13%7D%7D)
Step-by-step explanation:
The exponent rules that apply are ...
![(a^b)(a^c)=a^{b+c}\\\\a^{\frac{b}{c}}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=%28a%5Eb%29%28a%5Ec%29%3Da%5E%7Bb%2Bc%7D%5C%5C%5C%5Ca%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D)
Using these rules for your product, we have ...
![v^{\frac{3}{4}}\times v^{\frac{5}{7}}=v^{\frac{3}{4}+\frac{5}{7}}\\\\=v^{\frac{41}{28}}=v\cdot v^{\frac{13}{28}}=v\sqrt[28]{v^{13}}](https://tex.z-dn.net/?f=v%5E%7B%5Cfrac%7B3%7D%7B4%7D%7D%5Ctimes%20v%5E%7B%5Cfrac%7B5%7D%7B7%7D%7D%3Dv%5E%7B%5Cfrac%7B3%7D%7B4%7D%2B%5Cfrac%7B5%7D%7B7%7D%7D%5C%5C%5C%5C%3Dv%5E%7B%5Cfrac%7B41%7D%7B28%7D%7D%3Dv%5Ccdot%20v%5E%7B%5Cfrac%7B13%7D%7B28%7D%7D%3Dv%5Csqrt%5B28%5D%7Bv%5E%7B13%7D%7D)
The volume of a sphere is 4/3 x π x (diameter / 2)3, where (diameter / 2) is the radius of the sphere (d = 2 x r), so another way to write it is 4/3 x π x radius3. Visual on the figure below:
Making this sphere's volume 904.778684 yd3 and its cubic yards is 1,183.4.
Answer: 600,000+80,000+3,000+400+20+2
Step-by-step explanation:
Mark me as brainliest if this helps!
