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prohojiy [21]
3 years ago
11

Please help! For the 3 questions please

Mathematics
1 answer:
faltersainse [42]3 years ago
6 0

Answer:


Step-by-step explanation:

Triangles ADC and ACB are similar.

Therefore AC / AB = AD / AC

6 / AB = 4 / 6

4AB = 36

AB = 9 (answer).

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Which of the following scenarios MUST represent two independent events?
egoroff_w [7]

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

7 0
2 years ago
Here is a tunnel for a toy train.
jonny [76]

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters.

<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid (A) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)

A = 614.197\pi\,cm^{2}

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters. \blacksquare

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

5 0
2 years ago
33. A competition question requests students to form a three-digit number.
aniked [119]

Answer:

  532

Step-by-step explanation:

  532 = 2·2·7·19

__

There are 24 possible 3-digit numbers from the set {2, 3, 5, 7}. Of those, 6 have four factors: 372, 375, 532, 572, 732, 735.

The sums of factors of these numbers are ...

  38, 18, 30, 28, 68, 22

The number of interest is 532.

7 0
3 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 389.  Find these page numbers
Nadya [2.5K]

Step-by-step explanation:

Maybe the page numbers can be 143 and 246

143 + 246 = 389

8 0
3 years ago
Read 2 more answers
20. What is the slope of the line containing the points (3,8)
Lerok [7]
The answer is y= 4 + 1/3
6 0
3 years ago
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