Product of (6+i)(2+9i)
Answers
Answer:
(6 + i)(2 + 9i) = 3 + 56i
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
and i² = -1
(6 + i)(2 + 9i) = (6)(2) + (6)(9i) + (i)(2) + (i)(9i)
= 12 + 54i + 2i + 9i²
= 12 + 54i + 2i + 9(-1)
= 12 + 54i + 2i - 9 combine like terms
= (12 - 9) + (54i + 2i)
= 3 + 56i
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carey needs $45 to buy her mother a gift.She has saved 22% of that amount so far. How much more money does she need
Ms. Thomas is making a badge for her son in the shape of a square. The sides of the badge measure 3 inches each. Ms. Thomas wants to put a stripe across the badge from one vertex to the other vertex. What is the approximate length of the stripe? A. 3.5 inches B. 4.2 inches C. 4.9 inches D. 6.0 inches
Which values are solutions to the inequality below? Check all that apply. √x ≥ 8 A. 60B. 100C. 49D. 64E. 65F. 81
Answers
Given:Joann has 3 green marbles 5 blue marbles and 9 yellow marbles.
The ratio is asking us to find the ratio of green and Blue marble.A ratio is a statement of how two numbers compare. It is a comparison of the size of one number to the size of another number.Ratios can be shown using the ":" to separate the numbers.Ratio of Green :Blue:Yellow =3:5:9
The ratio of green and Blue marbles =3:5.
Blue Marbles = 5
Green to blue = 3/5.
Hope this helped☺☺
Answers
Answer:
72
Step-by-step explanation:
You use Pythagorean Theorem to to find the missing side which in this case is 6 and since and then from there you just add
Answer:
240
Step-by-step explanation:
(10 x 8) / 2 = 40
+ 20 x 8 = 160 + 40 = 200 + 40 = 240
second triangle
Answers
A log cut into 4 equal pieces requires 3 cuts.
so, 6 minutes
Which symbol makes the sentence true?
Answers
Lets see...hmmm...
7*2 = 14
8*2 = 16
- 14/16
Now we know the answer: - 7/8 = - 14/16
b. If the box is to be made out of wood that costs $4 per square foot, which of your designs would be less expensive to produce? Explain.
Answers
Now, if our volume is 24 ft³, then the 3 dimensions of the box must multiply to make 24. We want to make two designs, so let's think of some possible dimensions.
Let's say...2 × 2 × 6 and 2 × 3 × 4.
You should be able to sketch boxes and label the sides. Just draw two rectangles and draw lines between all of the points. (see attached for reference)
Now all we have to do is find the surface area. Plug in our width, length, and height and solve.
First box
SA = 2wl + 2wh + 2hl
SA = 2×2×2 + 2×2×6 + 2×2×6
SA = 8 + 24 + 24
SA = 56
Second box
SA = 2wl + 2wh + 2hl
SA = 2×2×3 + 2×2×4 + 2×3×4
SA = 12 + 16 + 24
SA = 52
At $4 / ft²...
56 ft² = $224
52 ft² = $208
The second box is less expensive to produce because it has less surface area and therefore less wood needed to build the sides of the box.
Answers
Groceries and hhold goods = 240
Given:
Weekly pay = 720
Groceries and household goods = 1/3 of weekly pay
Rent = 3/4 of money net from groceries.
720 * 1/3 = (720*1)/3 = 240 groceries and household goods
720 - 240 = 480 remaining money for rent
480 * 3/4 = (480*3)/4 = 1440/4 = 360 rental payment
480 - 360 = 120 remaining money.
Joanne spends 360 for rent and 240 for groceries and hhold goods.
720.00 - $239.76 = 480. 24
$480.24 x .75 ( 3/4 is the same as 75%) = $360.18