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Misha Larkins [42]
3 years ago
14

a wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points

that are 1 inch from each corner. How many edges does the resulting solid have?
Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:

Total number of edges for resulting solid = 12

Step-by-step explanation:

A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner.

We have to find the number of edges in the resulting solid after we cut the edges as told above.

There are two faces along the height which will become sharpened after we take out the cuts.

So the resulting shape would be like that of a cylinder with its both ends pointed.

So total number of edges = 4 + 4 + 4 = 12

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EASY MATH!!! The formula F=9/5C+32 is used to convert Celsius to Fahrenheit temperature. A. Solve the formula for C B. The boili
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F=\dfrac{9}{5}C+32\\\\A.\\\dfrac{9}{5}C+32=F\ \ \ |-32\\\\\dfrac{9}{5}C=F-32\ \ \ |\cdot\dfrac{5}{9}\\\\C=\dfrac{5}{9}(F-32)



B.\\F=212\to C=\dfrac{5}{9}(212-32)=\dfrac{5}{9}\cdot180=100\\\\212^oF=100^oC



C.\\F=80\to C=\dfrac{5}{9}(80-32)=\dfrac{5}{9}\cdot48\approx26.7\\\\80^oF\approx26.7^oC

4 0
3 years ago
"A seed randomly blows around a complex habitat. It may land on any of three different soil types: a high-quality soil that give
mestny [16]

Answer:

a. answer to a can be found in the attached file

b. Pr[survival] = Pr[good&survive]+Pr[medium&survive]+Pr[low&survive]=

0.24+0.06+0.05 = 0.35

c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its  overall probability of survival?

Pr[survival] = Pr[survival|lands] * Pr[lands] = 0.35 * 0.2 = 0.07

Step-by-step explanation:

"A seed randomly blows around a complex habitat. It may land on any of three different soil types: a high-quality soil that gives a 0.8 chance of seed survival, a medium-quality soil that gives a 0.3 chance of survival, and a low-quality soil that gives only a 0.1 chance of survival. These three soil types (high, medium, and low) are present in the habitat in proportions of 30:20:50, respectively. The probability that a seed lands on a particular soil type is proportional to the frequency of that type in the habitat. a. Draw a probability tree to determine the probabilities of survival under all possible circumstances. b. What is the probability of survival of the seed, assuming that it lands"c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its overall probability of survival?

a. Find the probability tree as attached below

b. Pr[survival] = Pr[good&survive]+Pr[medium&survive]+Pr[low&survive]=

0.24+0.06+0.05 = 0.35

c. Assume that the seed has a 0.2 chance of dying before it lands in a habitat. What is its  overall probability of survival?

Pr[survival] = Pr[survival|lands] * Pr[lands] = 0.35 * 0.2 = 0.07

Download docx
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