Answer:
216 cm^2
Step-by-step explanation:
A cube has 6 congruent, square faces.
Each face has side length of 6 cm.
The total surface area is the sum of the surface areas of the 6 faces, but since all faces are congruent, the total surface area is
SA = 6s^2
where s = side length
SA = 6 * (6 cm)^2
SA = 6 * 36 cm^2
SA = 216 cm^2
Answer:
0 and 4
1 and 3
2 and 2
3 and 1
4 and 0
Step-by-step explanation:
If you need 4 gifts and you want to spend less than $40, then you could buy
1 cd+ 3 dvds for $25
2 cds + 2 dvds for $24
3 cds + 1 dvd for $20
4 cds and 0 dvds for $16
0 cds and 4dvds for $32
Any of these solutions will work
Answer:
b = 8
c = 16
Step-by-step explanation:
From the given right triangle,
a = 
, m(∠B) = 30°
By applying sine rule in the given triangle,
cos(B) = 
cos(B) = 
cos(30°) = 
c = 16
Further we apply tangent rule,
tan(B) = 
tan(30°) = 
b = 8
Answer:
<h3>
f(x) = - ⁴/₉(x - 3)² + 6</h3>
Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
So for vertex (3, 6) it will be:
f(x) = a(x - 3)² + 6
<u>y intercept: 2</u> means f(0) = 2
f(0) = a(0 - 3)² + 6
2 = a(-3)² + 6
2 -6 = 9a + 6 -6
-4 = 9a
a = ⁻⁴/₉
Therefore:
The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is
<u>f(x) = - ⁴/₉(x - 3)² + 6</u>
