3 packs of 10 with 3 left over or 2 packs of 10 and 7 singles
L= 3/4 ft
The side lengths quilt is:
Length- 4.5 ft
Breadth- 3 ft
Fist we find the legnth of the diagonal
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5
now the other diagonal
11^2+5^2=c^2
121+25=c^2
146=c^2
sqrt both sides12.083
closest is B
two angles are coterminal, namely land on the same spot on the circle.
let's check.
let's firstly divide 1965° by 360°, since 360° is a full circle, that way we know <u>how many full circles are</u> in 1965°.
1965 ÷ 360, gives us a quotient of 5 with some remainder.
5 * 360 = 1800, 5 full circles
if we subtract the full circles from 1965
1965 - 1800 = 165
low and behold, the remainder from that division is 165° ✔
in other words, 1965°, goes around the circle 5 times and then lands 165° after all that, in the same spot as 165°.
The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:
For the point (6,0):
ax + by = 12
a(6) + b(0) = 12
6a = 12
a = 12/6 = 2
For point (3,2):
ax + by = 12
(2)(3) + b(2) = 12
6 + 2b = 12
2b = 12-6 = 6
b = 3
Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12
