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olchik [2.2K]
4 years ago
5

Another question. Help is very much appreciated! Thanks! (See attachment)

Mathematics
2 answers:
RideAnS [48]4 years ago
5 0

The triangle inequality says the two smallest sides have to add up to strictly more than the biggest. So when 7 and 12 are the smaller sides the biggest can't be 19 or larger. When 12 is the largest side the smallest side can't be 5 or smaller. So we check those in the open interval (5,19):

Answer: A B C D

sattari [20]4 years ago
3 0

According to the triangle inequality theory the sum of 2 sides of a triangle need to be grater than the 3rd side.

If we sum 7 + 12 we obtain a result of 19. Since nineteen is the answer, we select all the options that summed with either 12 or 7 are lower than 19 but greater than 5 (because if you sum up 5 with the numbers, the answers won't match according to the theory):

A, B, C & D

Hope it helped,

Happy homework/ study/ exam!

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Solve 2(5x + 6) < x - 15 + 9x.​
ipn [44]

Answer:

Hope that was helpful for you! Good luck.

3 0
4 years ago
There are 384384 students who are enrolled in an introductory engineering course. if there are five boys to every seven girls, h
Paul [167]
In 1 group there is 5 boys and 7girls
total students in 1 group: 7+5=12 students

now we know that there 12 students in 1 group. thus, we find how many groups of 12 are in 384384 students.
number of groups: 384384÷12=32032 groups

in each group we know we have 5 boys, so,
you multiply 5
32032×5=160160 boys

therefore, there is 160160 boys.
8 0
4 years ago
Find the sum of the first 40 terms of the arithmetic sequence-3,1,5,...
goldfiish [28.3K]

Answer:

Sum of Arithmetic Sequence

S_{n} = (a-l) or S_{n} = \frac{1}{2} n(2a + (n-1)d)

Where:

  • a = first term
  • l =  last term
  • d = common difference
  • n = number of terms

a = -3

l is unknown

d = 1 - -3 = 4

n = 40

Use the second equation because l in unknown.

S_{40} = \frac{1}{2}40(2(-3) + (40-1)4)

S_{40} = \frac{1}{2}40(-6 + (39)4)\\S_{40} = \frac{1}{2}40(-6 + 156)\\S_{40} = \frac{1}{2}40(150)\\S_{40} = \frac{1}{2}6000\\S_{40} = 3000

4 0
3 years ago
Read 2 more answers
WILL AWARD BRAINLIEST!!!
8_murik_8 [283]

Answer:

(a) .55

(b) .08

(c) about 42681 people

Step-by-step explanation:

Statistics!!

(a) .55 = point estimate

The point estimate is the middle of those two values, or the average. (.63+.47) / 2 = .55.

(b) .08 = ME

The margin of error is the difference between the point estimate and the outer values of the interval. .63-.55 = .08

(c) 42681 people

We think that .55 of the population want to add the bike lanes, so .55 * 75783 = 41680.65 ≈ 42681

5 0
3 years ago
How do I convert 2/9 to a decimal
Margarita [4]

Answer:

0.2

Step-by-step explanation:

To convert 2/9 to a decimal, just divide 2/9. Remember, a fraction is equivalent to division.

7 0
3 years ago
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