We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5
Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5
I would use grams, because in my country watermelons are small, but if they were huge I would use kilograms
Answer:
12 fruit baskets
Step-by-step explanation:
66 / 5 = ?
66 / 5 = 13.2
13.2 - 5 = 12
(12)
Answer:
64 in³
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( where s is the length of the side )
Given
area = 16, then
s² = 16 ( take the square root of both sides )
s =
= 4 , thus
V = 4³ = 4 × 4 × 4 = 16 × 4 = 64 in³
Answer:
(x +6)^2 +(y +2)^2 = 72
Step-by-step explanation:
The given points are vertices of a right triangle. The circle circumscribing that triangle (through all 3 vertices) will have its center at the midpoint of the hypotenuse:
((0, 4) +(-12, -8))/2 = (-6, -2)
The equation of a circle with center (h, k) through point (a, b) is ...
(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2
For center (-6, -2) and point (0, 4), the equation is ...
(x +6)^2 +(y +2)^2 = (0+6)^2 +(4 +2)^2
(x +6)^2 +(y +2)^2 = 72