<em><u>Answer: 10.</u></em>
<em><u /></em>
<em><u>Step-by-step explanation:</u></em>
<em><u>DIVISION. 120/12.</u></em>
<em><u>That is hard! Here's a trick.</u></em>
<em><u>12x9= 99=9=108. Or 12x6=66+6=72.</u></em>
<em><u>We will stick with 12x9, that equals 108.</u></em>
<em><u>We should add another 12 until we get to 120. </u></em>
<em><u>108+12=120. That is 10 times. The trick was...</u></em>
<em><u>dividing by 12 is hard, so lets say 12x4. I can put 4 and 4 together.</u></em>
<em><u>44 then and another 4. That is 48. So 12x4=48.</u></em>
<em><u /></em>
9514 1404 393
Answer:
61.4
Step-by-step explanation:
The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:
C = πd = 10π ≈ 31.4
The perimeter includes that length plus the lengths of two straight sides that are 15 units each.
P = 31.4 + 2×15
P = 61.4 . . . . units
Answer:
360°
Step-by-step explanation:
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The area of the parallelogram spanned by the given vectors is equal to the magnitude of their cross product.
(i + j + k) × (-2i + 3j + k)
= -2 (i × i) - 2 (j × i) - 2 (k × i)
… + 3 (i × j) + 3 (j × j) + 3 (k × j)
… + (i × k) + (j × k) + (k × k)
= - 2 (j × i) - 2 (k × i) + 3 (i × j) + 3 (k × j) + (i × k) + (j × k)
= 2 (i × j) - 2 (k × i) + 3 (i × j) - 3 (j × k) - (k × i) + (j × k)
= 5 (i × j) - 3 (k × i) - 2 (j × k)
= 5 k - 3 j - 2 i
Then the area of the parallelogram is
||-2 i - 3 j + 5 k|| = √((-2)² + (-3)² + 5²) = √38
