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Vlad1618 [11]
3 years ago
6

I need help finding the area of these two​

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

50 cm² and 56 cm²

Step-by-step explanation:

The area (A) is calculated as

A = \frac{1}{2} × d₁ × d₂ ( d₁ and d₂ are the length of the diagonals )

(2)

A = \frac{1}{2} × (8 + 2) × (5 + 5)

   = 0.5 × 10 × 10

   = 5 × 10

    = 50 cm²

(3)

A = \frac{1}{2} × (12 + 2) × (4 + 4)

   = 0.5 × 14 × 8

   = 7 × 8

    = 56 cm²

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Viefleur [7K]

Answer:

The picture that does not contain enough information to prove that ΔABC = ΔDEF is

(3) Picture (3)

Step-by-step explanation:

The given information in picture (3) is the Angle-Side-Side of ΔABC corresponds with the Angle-Side-Side of ΔDEF,

However, the condition of Angle-Side-Side of ΔABC, is not sufficient to prove that ΔABC is congruent to ΔDEF congruency because the length of the unknown side can have two possible values

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3 years ago
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

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  • The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

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The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0
2 years ago
Please help me on math and explain how to get the answer.
Lynna [10]

Answer:

x = 128

Step-by-step explanation:

ill name the empty angle y for clarification

y + 38 + 90 = 180

y + 128 = 180

y = 52

180 - y = x

180 - 52 = x

x = 128

4 0
2 years ago
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