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Oksana_A [137]
3 years ago
14

Galina is finding the area of triangle RST. To do so, she follows the steps in the table.

Mathematics
2 answers:
vladimir1956 [14]3 years ago
8 0

1 step: to draw a rectangle around triangle RST, you should

  • draw points A(-1,-1), B(-1,3) and C(2,3);
  • connect points A, B, C and T consecutively.

2 step: rectangle ABCT has length AB=4 units and width BC=3 units. Then

A_{ABCT}=4\cdot 3=12 sq. un.

3 step:

A_{\triangle ART}=\dfrac{1}{2}AR\cdot AT=\dfrac{1}{2}\cdot 2\cdot 3=3 sq. un.

A_{\triangle BRS}=\dfrac{1}{2}BR\cdot BS=\dfrac{1}{2}\cdot 2\cdot 2=2 sq. un.

A_{\triangle SCT}=\dfrac{1}{2}CS\cdot CT=\dfrac{1}{2}\cdot 1\cdot 4=2 sq. un.

4 step:

A_{\triangle RST}=A_{ABCT}-A_{\triangle ART}-A_{\triangle BRS}-A_{\triangle SCT}=12-3-2-2=5 sq. un.

Answer: in step two you write dimensions of rectangle ABCT: length 4 units and width 3 units. Correct choice is B.

Alex_Xolod [135]3 years ago
8 0
A rectangle is drawn around the triangle with a measurement 3 unit × 4 unit. The graph is shown below

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Five people each write a positive integer on a piece of paper. If the average of these five integers is 8, what is the greatest
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Add 0.5 kg, 50 mg, and 2.5 dg. Reduce the result to grams.
vredina [299]

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0.25g + 0.05g + 500g = 500.30g

Step-by-step explanation:

The first step is converting everything to grams, by rules of three. Then we add.

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When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 0.5kg to g

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x = 500g

0.5kg = 500g

Second step: 50mg to g

Each g has 1000mg. So:

1g - 1000mg

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Third step: 2.5dg to g

Each g has 10dg. So:

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8 0
3 years ago
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