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MaRussiya [10]
3 years ago
15

To decompose a quadrilateral into two identical shapes, Clare drew a dashed line as shown in the diagram.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0

Answer:

  • 1. Figures are of same area
  • 2. Figures are of different shape

Step-by-step explanation:

<em>See attached</em>

The figure in the graph is trapezium

1..................................................

The two shapes have an area of

<u>Triangle</u>:

  • A = 1/2bh = 1/2*4*4 = 8 square units

<u>Rectangle:</u>

  • A = wl = 2*4 = 8 square units

2..................................................

The two partitions are not identical in shape as one of them is triangle and the other is rectangle

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Can someone please help me as soon as possible, I need the answer.
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Each algorithm is applied to a group of 52 sample problems. The new algorithm completes the sample problems with a mean time of
dem82 [27]

Answer:

Therefore we fail to reject the Null hypothesis H_0

Because the is no sufficient evidence to support the claim of the alternative hypothesis H_a

Step-by-step explanation:

From the question we are told that

Sample size n_1 =52

Mean time 1 \=x_1=24.04\ hours

Mean time 2 \=x_2=24.52\ hours

Standard deviation \partial _1=5.769

Standard deviation \partial _2=5.556

Level of significance 0.05

The null hypothesis is H_o: \mu_1=\mu_2

Alternative hypothesis H_a: \mu_1

Generally the test statistics is mathematically represented as

      Z= \frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}

     Z= \frac{24.04-24.52}{\sqrt{\frac{5.769^2}{52}+\frac{5.5562^2}{52}}}

     Z= -0.4321583379

     Z= -0.43

From Table the Z-critical value at \alpha =0.05\ is\ -1.6449

Therefore

Zcal> Zcritical

(-0.43)=(-1.645)

Generally we fail to reject the null hypothesis H_0 at \alpha  = 0.05

Therefore we fail to reject theH_0

Because the is no sufficient evidence to support the claim of H_a

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3 years ago
Which expression is equivalent to 2(5 − 3x)? A) 10 − 5x B) 10 − 6x C) 7 − 5x D) 7 − 6x
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Determine if the sequence is geometric. If it is, find the common ratio.
Akimi4 [234]

Answer:

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Step-by-step explanation:

You find the ratio of terms by dividing the second by the first. If the ratio is the same for all adjacent pairs of terms, it is a "common" ratio.

1) (2/3)/-2 = -1/3

  (-2/9)/(2/3) = -1/3

  (2/27)/(-2/9) = -1/3 . . . . . the common ratio is -1/3

___

2) 2/0 = undefined . . . . not a geometric sequence

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3) -10/2 = -5

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  64/16 = 4 . . . . . the common ratio is 4

8 0
3 years ago
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