9514 1404 393
Answer:
156 cm³
Step-by-step explanation:
The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.
The front face area is the sum of the triangle area and the rectangle area.
A = 1/2bh + LW
A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²
Then the volume is ...
V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks
Answer:
d = 6sqrt(2) or 8.4853
Step-by-step explanation:
<u><em>Formula</em></u>
P = 4*s
s^2 + s^2 = d^2 where d is the diagonal and s is the side.
<u><em>Givens</em></u>
P = 24
<u><em>Solution</em></u>
P = 4s Substitute for s
24 = 4*s Divide by 4
24/4 = s
s = 6
================
d^2 = s^2 + s^2
d^2 = 6^2 + 6^2
d^2 = 36 + 26
d^2 = 72
d = sqrt(72)
Factors of 72
72: 6 * 6 * 2
<em><u>Rule</u></em>: Every pair of = factors allows you to take one of them outside the sqrt sign and throw the other a way. If there are no pairs, whatever you started with stays under the root sign.
sqrt(6*6*2) = 6sqrt(2)
- The diagonal length is either
- d = 6*sqrt(2) or
- d = 8.4853
ANSWER
The multiplication, CA is defined, and its dimension is 3×2
EXPLANATION
Matrix A is a 2x3 matrix.
Matrix C is a 3×2 matrix.
The product of the two matrices , CA, is defined if and only if the inner product of their dimension are the same.
The inner products are the same.
Hence the matrix multiplication, CA is defined and its dimension is the outer products.
1. S.S.A
2.S.A.A
3. That looks like the same question as two I can't quite see it.
