Answer:
64
Step-by-step explanation:
Step 1: Define
9(a + 2b) + c
a = 3
b = 2
c = 1
Step 2: Substitute and Evaluate
9(3 + 2(2)) + 1
9(3 + 4) + 1
9(7) + 1
63 + 1
64
<h3>Problem Solution</h3>
Assuming the spool is a cylinder and the circumference we're winding around is that of a circle with the given area, we can write the relation between circumference and area as
... C = 2√(πA)
10 times the circumference is then
... 10C = 20√(π·20 cm²) = 40√(5π) cm ≈ 159 cm
<h3>Formula Derivation</h3>
The usual formulas for circumference and area are
... C = 2πr
... A = πr²
If we multiply the area formula by π and take the square root, we get
... πA = (πr)²
... √(πA) = πr
Multiplying this by 2 gives circumference.
... C = 2√(πA) = 2πr
Answer:-1
Step-by-step explanation:
Assuming that this is just on a 2-D coordinate plane, we must convert the expressions on to a 3-D plane since translation cannot be done on a 2-D plane. This is done by adding a dummy coordinate that does not change. Let us use "1" for this case.
Matrix:
| 0 0 -2 |(x) = (x - 2)
<span>| 0 0 4 |(y) = (y + 4)
</span><span>| 0 0 1 |(1) = 1</span>
Since the definition of a parallelogram literally says that it's a quadrilateral with 2 parallel sides, we have AB || CD so the 2 other sides (AC and BD) need to be either similar or parallel (either works, due to that if they're similar we can prove that since AB || CD that they're parallel). B is our answer
