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Oksi-84 [34.3K]
3 years ago
7

A company logo is shaped like an equilateral triangle with 6-inch long sides. What is the height of the logo? Round to the neare

st tenth.
Mathematics
1 answer:
blondinia [14]3 years ago
6 0

Answer:

5.2 in

Step-by-step explanation:

An equilateral triangle is a triangle with 3 equal sides

Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height

The Pythagoras theorem : a² + b² = c²

where a =  height

b = base = 6 in / 2 = 3 in  

c =  hypotenuse = 6 in

6² = 3² + h²

h = 36 - 9 = 27

√27 = 5.196 inch

to the nearest tenth = 5.2 in

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

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4 years ago
P(A) = 0.33, P(A and B) = 0.25, find P(B
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Answer:

≈0.76

Step-by-step explanation:

P(A) = 0.33

P(A and B) = 0.25

P(B) = ?

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<u>Probability of two events happening is the product of individual probabilities</u>

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<u>Then to find the probability of one of the events: </u>

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Which statements are true for verifying the solution set of StartAbsoluteValue negative 2 x + 8 EndAbsoluteValue less-than 12 as
mariarad [96]

Answer:

I had to go back and double check, this was kind of confusing asking if  saying this statement is true or false is true or false.  So keep your eye on that.  as long as x is between (but not equal to) -2 and 10 then the inequality is true.  Fromt here you have to see if the option is SAYING it is true or not.

Step-by-step explanation:

I am assuming this is saying |-2x+8|<12 as -2 < x < 10

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True, since x has to be explicitly LESS THAN 10, not equal

Substituting 6 for x into the original inequality will create a false statement.

False, 6 is greater than -2 and less than 10

Substituting 20 for x into the original inequality will create a true statement.

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Substituting –20 for x into the original inequality will create a false statement.

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Substituting –10 for x into the original inequality will create a true statement.

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Substituting 0 for x into the original inequality will create a true statement

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