9.1.1 Review & Preview

Examine the solid at right. Explore using the 9-7 HW eTool (CPM) Homework Help ✎

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On your paper, draw a possible mat plan for this solid.

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Find the volume of this solid.

Assume that two figures on a flat surface, A and B, are similar. Homework Help ✎

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If the linear scale factor is 2/5, then what is the ratio of the areas of A and B?

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If the ratio of the perimeters of A and B is 14:1, what is the ratio of the areas?

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If the area of A is 81 times that of B, what is the ratio of the perimeters?

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Find the area of a regular decagon with perimeter 100 units. Show all work. Round to the 1000ths. Homework Help ✎

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The diagram at right shows a circle inscribed in a square. Find the area of the shaded region if the side length of the square is 6 meters. Round to the 1000ths. Homework Help ✎

Solve each system of equations below. Write your solution in the form (x,y). Check your solution. Homework Help ✎

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\begin{aligned} 3x - y = 14\\ x = 2y + 8 \; \; \end{aligned}

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\begin{aligned} x = 2y + 2 \; \; \;\\ x = -y -10 \end{aligned}

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\begin{aligned} 16x - y = -4\\ 2x + y = 13 \; \; \, \end{aligned}

Gino looked around at the twelve students in his lunchtime computer science club and wrote down the following descriptions of their sex, clothing, and shoes: Homework Help ✎

male, long pants, tennis shoes

male, shorts, tennis shoes

female, shorts, tennis shoes

male, shorts, other shoes

female, dress or skirt, other shoes

female, dress or skirt, tennis shoes

female, long pants, tennis shoes

male, long pants, other shoes

female, shorts, other shoes

female, long pants, other shoes

male, long pants, tennis shoes

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Make an area model or tree diagram of all the possible outfits in the sample space. Organize the combinations of sex, clothing, and shoes.

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In your model or diagram from part (a), indicate the probabilities for each option. What is the probability that a randomly selected student is wearing long pants?

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Which outcomes are in the event which is the union of {long pants} and {tennis shoes}?

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Which outcomes are in the intersection of {long pants} and {tennis shoes}?

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Find the volume of this solid.

9.1.1 Review & Preview

On your paper, draw a possible mat plan for this solid.

Find the volume of this solid.

If the linear scale factor is 2/5, then what is the ratio of the areas of A and B?

If the ratio of the perimeters of A and B is 14:1, what is the ratio of the areas?

If the area of A is 81 times that of B, what is the ratio of the perimeters?

Find the area of a regular decagon with perimeter 100 units. Show all work. Round to the 1000ths. Homework Help ✎

The diagram at right shows a circle inscribed in a square. Find the area of the shaded region if the side length of the square is 6 meters. Round to the 1000ths. Homework Help ✎

\begin{aligned} 3x - y = 14\\ x = 2y + 8 \; \; \end{aligned}

\begin{aligned} x = 2y + 2 \; \; \;\\ x = -y -10 \end{aligned}

\begin{aligned} 16x - y = -4\\ 2x + y = 13 \; \; \, \end{aligned}

Make an area model or tree diagram of all the possible outfits in the sample space. Organize the combinations of sex, clothing, and shoes.

In your model or diagram from part (a), indicate the probabilities for each option. What is the probability that a randomly selected student is wearing long pants?

Which outcomes are in the event which is the union of {long pants} and {tennis shoes}?

Which outcomes are in the intersection of {long pants} and {tennis shoes}?

Multiple Choice: What information would you need to know about the diagram at right in order to prove that ΔABD≅ΔCBD by SAS≅? Homework Help ✎

On your paper, draw a possible mat plan for this solid.

If the linear scale factor is 2/5, then what is the ratio of the areas of A and B?

If the ratio of the perimeters of A and B is 14:1, what is the ratio of the areas?

If the area of A is 81 times that of B, what is the ratio of the perimeters?

Find the area of a regular decagon with perimeter 100 units. Show all work. Round to the 1000ths. Homework Help ✎

The diagram at right shows a circle inscribed in a square. Find the area of the shaded region if the side length of the square is 6 meters. Round to the 1000ths. Homework Help ✎

\begin{aligned} 3x - y = 14\\ x = 2y + 8 \; \; \end{aligned}

\begin{aligned} x = 2y + 2 \; \; \;\\ x = -y -10 \end{aligned}

\begin{aligned} 16x - y = -4\\ 2x + y = 13 \; \; \, \end{aligned}

Make an area model or tree diagram of all the possible outfits in the sample space. Organize the combinations of sex, clothing, and shoes.

In your model or diagram from part (a), indicate the probabilities for each option. What is the probability that a randomly selected student is wearing long pants?

Which outcomes are in the event which is the union of {long pants} and {tennis shoes}?

Which outcomes are in the intersection of {long pants} and {tennis shoes}?

Multiple Choice: What information would you need to know about the diagram at right in order to prove that ΔABD≅ΔCBD by SAS≅? Homework Help ✎