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natali 33 [55]
3 years ago
12

A certain triangle has a perimeter of 3059mi. The shortest side measures 79 mi less than the middle side and the longest side me

asures 372mi more than the middle side
Mathematics
1 answer:
sweet [91]3 years ago
8 0
Ifkskdhejeugejdjsbsbdvdbjdisuxgdgrvevsvnsjhfhhdbdbfbbfnxj ucjsjdbxhhebs
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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b​
Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : \dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b

To find, The value of a and b

Solution,

Solving LHS of the given equation,

\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b

Since,

(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2

So,

\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b

or

4+0=a+\sqrt 3 b

On comparing we get :

a = 4 and b = 0

4 0
3 years ago
3000 equals how many ones
nordsb [41]
3000 equals 3000 ones.
8 0
3 years ago
Read 2 more answers
Which table has a constant of proportionality between yyy and xxx of 101010?
Gnesinka [82]

Answer:

Only table C shows proportional relationship

Step by Step Explanation:

Given

Tables A, B an C

Required

Which table shows proportional relationship?

In table A .

x = 2 and y = 20

k = 20/2

k = 10

Also, x = 12, y = 132

k =. 132/12.

k = 11

Both values of k are not equal.

Hence, the table is not proportional

In table B

x = 5 and y = 20

k = 20/5

k = 4

Also, x = 7, y = 30

k =. 30/7

k = 4.29

Both values of k are not equal.

Hence, the table is not proportional

In table C

x = 9 and y = 90

k = 90/9

k = 10

Also, x = 14, y = 140

k =. 140/14

k = 10

Also, x = 24, y = 240

k =. 240/24

k = 10

All values of k are equal.

Hence, the table is proportional

5 0
2 years ago
3/8 + 1/8 - 1/3 + 1/4 =
Dahasolnce [82]

Answer:

0.41666666, to round up, the answer is 0.42

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How many dimensions exists in the universe?<br>A) 3<br>B) 5<br>C) 11<br>D) 10
nalin [4]
Your answer is 10
<span>1. Length
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</span><span>3. Depth
</span><span>4. Time
</span><span>5. Possible Worlds
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