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slega [8]
4 years ago
8

A block is cut into equal units.

Mathematics
1 answer:
kvasek [131]4 years ago
6 0

Answer:

140 g

Step-by-step explanation:

Note that

  • 10=\underline{2}\cdot \mathbf{5};
  • 20=\underline{2}\cdot 2\cdot \mathbf{5};
  • 35=\mathbf{5}\cdot 7

As you can see 5 is the common factor for all three numbers and 2 is the common factor only for the first two numbers. So, the greatest common factor

GCF(10,20,35)=5\cdot 2\cdot 2\cdot 7=140\ g.

The smallest mass of the block should be 140 g (it can be cut into 14 pieces of 10 g weight, 7 pieces of 20 g weight or 4 pieces of 35 g weight).

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For a.

Since there are already two angles given for the triangle, we can measure the last angle using this formula:

90 + 55 + a = 180

Now solve for "a".

90 + 55 + a = 180

145 + a = 180

a = 180 - 145

a = 35°

For b.

From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.

Now that we have two angles in the second triangle(35 and 120), we can use the same formula:

35 + 120 + b = 180

Now solve for "b":

35 + 120 + b = 180

155 + b = 180

b = 180 - 155

b = 25°

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1. Define: (1) factor (ii) multiple. Give five examples of each.it<br><br>​
sineoko [7]

Answer:

A factor is a number that when its multiplied with another number, gives a product of a given number. Example: The factors of 21 are 7,3,1 and 21. A multiple is a number that can be divided by another number a certain amount of times evenly (without a remainder). Example: Some multiples of 4 are: 8, 12, 16, and 20.

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(17.96 + 3.15) x 7<br> What is the answer????
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The probability that at least one of them has been vaccinated is equal to 98.5% if 65% of the people have been vaccinated.

Considering P to be the probability that at least one is vaccinated and q to be the probability that none of the four are vaccinated; the sum of all the probabilities must equal 1; therefore,

P = 1 - q

As 65% of the population is vaccinated, therefore 35% are not vaccinated. Thus any person has a probability of 0.35 of not being vaccinated;

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