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mart [117]
3 years ago
5

A triangle has a perimeter of 102 yards. The first side is twice the length of the second side. The third side is 6 yards longer

than the second side. How long is each side ?
Mathematics
1 answer:
lana66690 [7]3 years ago
4 0

Answer:

48,24,30

Step-by-step explanation:

Let, the length of second side be x

A/c to question,

first side (a) = 2x

second side (b) = x

third side (c) = x + 6

Perimeter of ∆ (p) = 102

And,

Perimeter of ∆ = a + b + c

102 = 2x + x + x + 6

102 - 6 = 4x

96 = 4x

x = 96/4

x = 24

Now,

first side = 2*24 = 48

second side = 24

third side = 24 + 6 = 30

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The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the
gladu [14]

Answer:

Part 1) Australia 19,751,012\ people

Part 2) China 1,319,645,764\ people

Part 3) Mexico 109,712,539\ people

Part 4) Zaire 60,534,681\ people

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

P(t)=a(1+r)^t

where

P(t) is the population

t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

a=19,169,000\\r=0.6\%=0.6\100=0.006

substitute

P(t)=19,169,000(1+0.006)^t

P(t)=19,169,000(1.006)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=19,169,000(1.006)^5=19,751,012\ people

Part 2) China

we have

a=1,261,832,000\\r=0.9\%=0.9\100=0.009

substitute

P(t)=1,261,832,000(1+0.009)^t

P(t)=1,261,832,000(1.009)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people

Part 3) Mexico

we have

a=100,350,000\\r=1.8\%=1.8\100=0.018

substitute

P(t)=100,350,000(1+0.018)^t

P(t)=100,350,000(1.018)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=100,350,000(1.018)^5=109,712,539\ people

Part 4) Zaire

we have

a=51,965,000\\r=3.1\%=3.1\100=0.031

substitute

P(t)=51,965,000(1+0.031)^t

P(t)=51,965,000(1.031)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=51,965,000(1.031)^5=60,534,681\ people

8 0
3 years ago
HELP THIS IS SO IMPORTANT
LekaFEV [45]

Answer:

variable = s

sum = 10

product = 20

i dont know the last one

brainlest please

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
− 4n = -1 3− 4n - 18
Lady_Fox [76]

Answer:

0=-31

Step-by-step explanation:

7 0
3 years ago
Indicate in standard form the equation of the line passing through the given point and having the given slope. R(4,0), m=5
liberstina [14]
First you put the equation in point slope form- Y-0= 5x - 4
Then add the zero to the 4.
Final answer: y= 5x -4
7 0
3 years ago
the area of a reactangle mirror is 11 11/16 square feet the width of the mirror is 2 2/4 feet. if there is a 5 foot tall space o
77julia77 [94]
So square feet is area which is legnth times width or area=lw or a=lw

width=w=2 2/4
2/4=1/2
w=2 1/2=5/2

a=lw
11 11/16=187/16
187/16=l(5/2)

multiply both sides by 2/5 to clear the fraction (1/2 times 2/1=2/2=1)

374/80=legnth
simplify
374/80=187/40=4 27/40=legnth

legnh must be less than 5 and 4 and 27/40 is less than 5 so it will fit
8 0
3 years ago
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