Answer:
figure B
Step-by-step explanation:
it’s facing the same way
Translations slide shapes
30% of £10 = £3
30% discount = £10 - £3 = £7
Cake costs £7
A cube has equal sides if they are 2÷ 1/2 each then L×W×H would be (2÷ 1/2)^3. To divide fractions we multiply the reciprocal.
2÷ 1/2 = 2/1 × 2/1 = 4
4×4 = 16×4= 64
answer is V = 64 inches cubed.
Answer:
![\displaystyle r \approx 5.8 \ ft](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%5Capprox%205.8%20%5C%20ft)
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
Volume of a Sphere Formula: ![\displaystyle V = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Volume <em>V</em> = 797 ft³
<u>Step 2: Solve for </u><em><u>r</u></em>
- Substitute in variables [Volume of a Sphere Formula]:
![\displaystyle 797 \ ft^3 = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20797%20%5C%20ft%5E3%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
- [Division Property of Equality] Isolate <em>r</em> term:
![\displaystyle \frac{2391}{4 \pi} \ ft^3 =r^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B2391%7D%7B4%20%5Cpi%7D%20%5C%20ft%5E3%20%3Dr%5E3)
- Rewrite:
![\displaystyle r^3 = \frac{2391}{4 \pi} \ ft^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%5E3%20%3D%20%5Cfrac%7B2391%7D%7B4%20%5Cpi%7D%20%5C%20ft%5E3)
- [Equality Property] Cube root both sides:
![\displaystyle r = \frac{4782^{\frac{1}{3}}}{2 \pi^{\frac{1}{3}}} \ ft](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%3D%20%5Cfrac%7B4782%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%7B2%20%5Cpi%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%20%5C%20ft)
- Evaluate:
![\displaystyle r = 5.75162 \ ft](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%3D%205.75162%20%5C%20ft)
- Round:
![\displaystyle r \approx 5.8 \ ft](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%5Capprox%205.8%20%5C%20ft)
The anwser is 19 remainder 4