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3 years ago

True or false. A perpendicular bisector can also be an altitude.

Mathematics

1 answer:

Elden [556K]3 years ago

4 0

Answer:

True

Step-by-step explanation:

If there is an equilateral triangle or just a triangle that the vertex and midpoint on the bottom segment line up, then a perpendicular bisector and altitude can be the same thing.

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Suppose that a 2 by 10 rectangular grid of seats is filled with people. On the

IrinaVladis [17]

There are 20! number of ways for everyone to do this so that at the end of the move, each seat is taken by exactly one person.

People are seated in a 2 by 10 rectangle grid. All 20 persons stand up from their seats and relocate to an orthogonally neighboring one upon the blowing of a whistle.

Now, we have to find the number of possible ways in which each seat is taken up by exactly one person after the move.

As the number of people is 20 and 20 seats are to filled exactly once.

So, the number of ways = 20!

Learn more about number here:

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4 0

2 years ago

Amir pits £3035 into a bank account. The account pays 4% compound interest each year. Work out how much money amir will have in

myrzilka [38]

Answer:

$\£3840.2$

Step-by-step explanation:

Let P denotes principal amount, T denotes time period and R denotes rate of interest.

Amount = $P(1+\frac{R}{100})^T$

Amir pits £3035 into a bank account. The account pays 4% compound interest each year.

Put $P=\£3035,\,R=4\%,\,T=6$

Amount = $3035(1+\frac{4}{100})^6=3035(\frac{104}{100})^6=\£3840.2$

Therefore, Amir will have $\£3840.2$ in the account after 6 years.

7 0

3 years ago

How much should each person receive?

seraphim [82]

Add up the 13+12 to get 25 then divide 500,000 by 25 to get 2,000. Then multiply it by 13 to get 26000 and by 12 to get 24000. Subtract 26000 minus 24000 to get 2000. 2000 is your answer.

4 0

3 years ago

Which operation results in a binomial? (3y ^ 6 + 4) (9y ^ 12 - 12y ^ 6 + 16)

AleksAgata [21]

Step-by-step explanation:

Given the expression, $(3y ^ 6 + 4) (9y ^ {12} - 12y ^ 6 + 16)$ , we want to know which sign placed in between the two polynomial will produce a binomial.

Using a plus (+) sign to check:

$= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\collect \ like \ terms\\= 9y^{12} +3y^6 - 12y^6 + 16+ 4\\= 9y^{12} - 9y^6 + 20\\$

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

Using a plus (-) sign to check:

$= (3y ^ 6 + 4) - (9y ^ {12} - 12y ^ 6 + 16)\\= 3y ^ 6 + 4 - 9y ^ {12} + 12y ^ 6 - 16\\collect \ like \ terms\\= -9y^{12} +3y^6 +12y^6 + 4-16\\= -9y^{12} +15y^6 -12\\$

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

<em>Hence none of the operations given results in a binomial</em>

3 0

3 years ago

What is the domain and range of each function graohed below?

andriy [413]

Domain is the x values you can use
range is the y values

a.
the domain
hmm, seems to be all real numbers except for at x=0, it gets really close tho
so D=(-∞,0)U(0,∞)

range is all real numbers except for y=0, it gets really close tho
R=(-∞,0)U(0,∞)

b.
domain
that empty circle means something like < or >
goes from 5 to 6, not including 5
so domain is D=(5,6]

range is from -4 to 2, not including -4
range is R=(-4,2]

5 0

3 years ago

Read 2 more answers