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garik1379 [7]
3 years ago
12

The perimeter of a triangle is 480. The 2nd side is three times the 1st, and the 3rd side is 60 more than the 2nd. What is the l

ength of the longest side?
Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:

240

Step-by-step explanation:

So let the first side be x. So the next side is 3x and the last side is (3x +60) . Add all 3 sides and set equal to 480. So x + 3x + (3x +60)= 480. Now do the Algebra. So 7x + 60 = 480. Subtracting 60 we get 7x = 420 so x= 60. You are asked to ffg ind the length of the longest side so 3(60) + 60 = 240.

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Evacuate the following using suitable identities (102)^3
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The value of (102)^3 exists 1061208.

<h3>How to estimate the value of (102)^3?</h3>

Let us rewrite (102)^3 as (100+2)^3

Now utilizing the identity (a+b)^3=a^3+b^3+3ab(a+b), we get

a = 100 and b = 2 then substitute the values of a and b then

(100+2)^3=100^3+2^3+[(3\times100\times2)(100+2)]

= 1000000 + 8 + (600 × 102)

= 1000000 + 8 + 61200

= 1061208

Hence, (102)^3=1061208

Therefore, the value of (102)^3 exists 1061208.

To learn more about cubic polynomial equation refer to:

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Find the distance between the points T(13, 1.6) and V(5.4.3.7).
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Find the distance between the points t(13, 1.6)t(13, 1.6) and v(5.4, 3.7)v(5.4, 3.7).

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The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

Thus the distance between points t(13, 1.6) and v(5.4, 3.7) is found using the formula as:

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4-8v=-8v+4
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3 years ago
Will mark Brainliest!! :)
Georgia [21]

Step-by-step explanation:

The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.

for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.

The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.

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substituting 36 for x and 10 for y in eq2;

4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school

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