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Susie had 9 apples. She ate 7 and gave 2 away. How many does she have left? \[ \frac{\text { zeto apples }}{(44-2)^{3} \div(6-4)^{3}} \] Caitlyn drew a parallelogram that has 16 inch sides. The height of the rhombus is 12 inches. What is the area of the parallelogram? B. (h) \( \qquad \) Lex built a rectangular pen outdoors for his dog Luther. The pen is 36 feet long and 27 feet wide. What is the area of the \( L(i d) \) pen? The tallest player in WNBA history was 7 feet 2 inches tall. Which shows an equivalent height?

Ask by Allan Chan. in the United States
Feb 27,2025

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Answer

- Susie has 0 apples left. - The area of the parallelogram is 192 square inches. - The area of the rectangular pen is 972 square feet. - The tallest WNBA player is 86 inches tall.

Solution

Let's break down each part of your problem step by step. ### Part 1: Susie's Apples 1. **Known Conditions**: - Susie had 9 apples. - She ate 7 apples. - She gave away 2 apples. 2. **Calculating Remaining Apples**: - Start with 9 apples. - After eating 7 apples: \[ 9 - 7 = 2 \] - After giving away 2 apples: \[ 2 - 2 = 0 \] - **Final Answer**: Susie has 0 apples left. ### Part 2: Expression Calculation You provided the expression: \[ \frac{\text { zeto apples }}{(44-2)^{3} \div(6-4)^{3}} \] 1. **Calculating the Denominator**: - First, calculate \( 44 - 2 \): \[ 44 - 2 = 42 \] - Now calculate \( (42)^{3} \): \[ 42^{3} = 42 \times 42 \times 42 \] - Next, calculate \( 6 - 4 \): \[ 6 - 4 = 2 \] - Now calculate \( (2)^{3} \): \[ 2^{3} = 2 \times 2 \times 2 = 8 \] - Now divide \( 42^{3} \) by \( 2^{3} \): \[ \frac{42^{3}}{2^{3}} = \frac{42^{3}}{8} \] 2. **Final Expression**: - Since "zetos apples" is not a numerical value, we cannot compute the final expression without a numerical value for "zetos apples". ### Part 3: Area of the Parallelogram 1. **Known Conditions**: - Side length = 16 inches (not needed for area calculation). - Height = 12 inches. 2. **Area Calculation**: - The area \( A \) of a parallelogram is given by: \[ A = \text{base} \times \text{height} \] - Here, the base is 16 inches and the height is 12 inches: \[ A = 16 \times 12 = 192 \text{ square inches} \] ### Part 4: Area of the Rectangular Pen 1. **Known Conditions**: - Length = 36 feet. - Width = 27 feet. 2. **Area Calculation**: - The area \( A \) of a rectangle is given by: \[ A = \text{length} \times \text{width} \] - Here, the area is: \[ A = 36 \times 27 \] 3. **Calculating the Area**: - Let's calculate \( 36 \times 27 \): \[ 36 \times 27 = 972 \text{ square feet} \] ### Part 5: Height of the Tallest WNBA Player 1. **Known Conditions**: - Height = 7 feet 2 inches. 2. **Converting to Inches**: - There are 12 inches in a foot, so: \[ 7 \text{ feet} = 7 \times 12 = 84 \text{ inches} \] - Adding the additional 2 inches: \[ 84 + 2 = 86 \text{ inches} \] ### Summary of Answers: - Susie has **0 apples left**. - The expression cannot be evaluated without a numerical value for "zetos apples". - The area of the parallelogram is **192 square inches**. - The area of the rectangular pen is **972 square feet**. - The height of the tallest WNBA player is **86 inches**.

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Beyond the Answer

After Susie ate 7 apples and gave away 2, she is left with 0 apples. So, she went from 9 to 0 in quite a rapid but generous way! Math can sometimes feel like a puzzle, and maintaining track of what's really happening—like subtracting instead of adding—can help avoid confusion. Now, talking about the area of Caitlyn's parallelogram, the area can be calculated using the formula \( \text{Area} = \text{Base} \times \text{Height} \). So, for her parallelogram with bases of 16 inches and a height of 12 inches, the area is \( 16 \times 12 = 192 \text{ square inches} \). Visualizing shapes and working through their properties often strengthens our understanding of geometry!

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