Answer:
Step-by-step explanation:
<u>Three faces are equal triangles with:</u>
- base = 8 units, height = 6 ft
<u>The base is a triangle with:</u>
- base = 8 ft, height = 6.9 ft
<u>Surface area is sum of areas of 4 faces:</u>
- S = 3*(1/2*8*6) + 1/2*8*6.9 = 99.6 ft²
<span>First, we determine the factors of 45. We can immediately note that 45 is the product of 9 and 5. Out of 9 and 5, 9 can further be expressed into the product of 3 and 3. The prime factorization therefore is,
45 = 3 x 3 x 5
Since the factors in the right-hand side of the equation are already prime numbers then, this factorization can no longer be written in simpler forms.</span>
Use the point slope equation: y - y1 = m(x - x1)
(-1, -3); m = 4
Plug these numbers in.
y - (-3) = 4(x - -1)
y + 3 = 4x + 4
y = 4x + 1
Area of rectangle =lxb =answer
Answer:
12 cm
Step-by-step explanation:
First, we find the scale factor from cone S to cone T.
ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8
The ratio of the volumes is 8:1
The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.
scale factor = cubic root of 8 = 2
The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.
