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3 years ago

Do the following side lengths form a triangle? 6, 18, 14

Mathematics

1 answer:

iren2701 [21]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

Conditions for the sides to form a triangle is that sum of any two sides should be greater than the third side.

6 + 18 = 24

24 > 14

18 + 14 = 32

32 > 6

6 + 14 = 20

20 > 18

Therefore,

sides 6, 18 and 14 forms a triangle.

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The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the

Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

$f(x)= 4(4)^x$

3 times a year

so x becomes 3x

$f(x)= 4(1+r)^{3x}$

$4(4)^x=4(1+r)^{3x}$

Take log on both sides

$log(4)^x=log(1+r)^{3x}$

Use log property and move exponent before log

$xlog(4)=3xlog(1+r)}$

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

$f(x)= 4(1+r)^{3x}$

so equation becomes

$f(x)= 4(1.59)^{3x}$

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C

5 0

3 years ago

Find the area of the irregularly-shaped hexagon below

Ber [7]

let each box length be 1

for white triangle

area = ½bh

=½(4)(2)

for orange triangle

area=½(2)(3)

for blue marked boxes

each of the box

area=l²

=(1)²

there are 16 boxes

so the total area will be 16

total area of the hexagon = 4+3+16

=23 square units

7 0

3 years ago

Read 2 more answers

Which one do i pick help , it’s a quiz! i’ll give brainliest

trasher [3.6K]

Answer:

Step-by-step explanation:

It is the exact opposite because when you divide by 4 you go lower and when you multiply by 4 you go higher, thus making them inverse operations

5 0

3 years ago

Read 2 more answers

On average, Tanner has noticed that 22 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probabi

blondinia [14]

Answer:

0.11069

Step-by-step explanation:

We will assume that the trains pass by his house following a uniform distribution with values between 0 and 24. The probability of a train passing on a 9-hour time period is 9/24 = 3/8 = 0.375. Lets call Y the amount of trains passing by his house during that 9-hour period. Y follows a Binomail distribution with parameters 22 and 0.375.

P(Y ≤ 5) = P(Y = 0) + P(Y=1) + P(Y=2) + P(Y=3) + P(Y=4) + P(Y=5) =

${22 \choose 0} * 0.375^0*(1-0.375)^{22} + {22 \choose 1}*0.375^1*(1-0.375)^{21} +\\\\{22 \choose 2} * 0.375^2*(1-0.375)^{20} + {22 \choose 3}*0.375^3*(1-0.375)^{19} + \\{22 \choose 4} * 0.375^4*(1-0.375)^{18} + {22 \choose 5}*0.375^5*(1-0.375)^{17} = 0.11069$

I hope that works for you!

4 0

3 years ago

Prove the following statement by contradiction using an indirect proof. In a triangle angle A = 90°, then the triangle is a righ

kati45 [8]

Answer:

I prefer taking B

Step-by-step explanation : because when the degree is 90 than it should be a right triangle

3 0

4 years ago