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4 years ago

Which sets of side lengths could form a triangle

Mathematics

1 answer:

olga2289 [7]4 years ago

5 0

A
No 9 is bigger than the other 2 added together.
B
3+ 6 = 9. A triangle cannot be formed.
C
4+5 = 9. A triangle cannot be formed. The shorter two will just make the length of the longest side. No triangle made.
D
Yes 4+6 > 9 A triangle will be formed.
E
Yes 5 + 5 = 10 which is greater than 9. A triangle will be formed.

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Find the quotient of `(2i(4+5i)(4-5i))/(4+i)`, and express it in the simplest form.

DIA [1.3K]

Answer:

(328i + 82) / 17

Step-by-step explanation:

`(2i(4+5i)(4-5i))/(4+i)

= (2i(16 - 25i^2)) / (4 + i)

= (2i( 16 + 25) )) / (4 + 1) [Note:- i^2 = -1]

= 82i / (4 + i)

= 82i(4 - i) / (4 + i)(4 - 1)

= 328i + 82 / (16 - i^2)

= (328i + 82) / 17

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4 years ago

What is the sum of the multiples of 4 from 16 to 100?

strojnjashka [21]

Correct answer is 1276.

This an arithmetic series.
$a_1=16,a_n=100,d=4,S_n=?
\\
\\a_n=a_1+(n-1)d
\\100=16+(n-1)4
\\4(n-1)=84
\\n-1=21
\\n=22
\\
\\S_n= \frac{(a_1+a_n)n}{2}= \frac{(16+100)22}{2}=116\times 11=1276$

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3 years ago

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What is the area of a circle with a radius of 7?

blsea [12.9K]

A = pi r^2
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3 years ago

BRAINLIEST AND 39 POINTS

Veronika [31]

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melomori [17]

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Step-by-step explanation:

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