The interior angles of a triangle add up to 180 degrees
a = 1st angle, b = 2nd angle, c = 3rd angle
c = 6a
b = a + 60
a + b + c = 180
a + (a + 60) + (6a) = 180
8a + 60 = 180
8a = 180 - 60
8a = 120
a = 120/8
a = 15 <=== here is one angle
b = a + 60
b = 15 + 60
b = 75 <=== and another one
c = 6a
c = 6(15)
c = 90 <=== and the last angle
Answer:
0, -2/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
W = 2L + 3, and:
P = 2W + 2L = 192
Substituting 2L + 3 for W, we get:
P = 2(2L + 3) + 2L = 192, or
4L + 6 + 2L = 192, or:
6L = 186
L = 186/6 = 31
The length is 31, the width is 62 + 3, or 65
Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)
Answer:

Step-by-step explanation:
Hello,
a and b are the zeros, we can say that

So we can say that

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b
for instance we can write

and we can notice that
so
![(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab](https://tex.z-dn.net/?f=%28x-2a-3b%29%28x-3a-2b%29%3Dx%5E2-5%28a%2Bb%29x%2B6%5B%28a%2Bb%292-2ab%5D%2B13ab%5C%5C%3D%20x%5E2-5%28a%2Bb%29x%2B6%28a%2Bb%29%5E2%2Bab)
it comes

multiply by 3

Answer:
Height = 5meters
Step-by-step explanation:
Using the formula h= v over 3.14r^2 = 141.3 over 3.14 times 3^2 gives us 4.99747 meters.