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Evgen [1.6K]
3 years ago
15

Simplify the expression √-9/(3-2i) (1 5i)

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0
3i\sqrt((65(2-3i))/(65))
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Which fraction has a terminating decimal as its decimal expansion?
alex41 [277]
'One third' as a decimal is 1 ÷ 3 = 0.333333..... ⇒ The decimal is recurring

'One fifth' as decimal is 1 ÷ 5 = 0.2 ⇒ The decimal terminates at the tenth value

'One seventh'  as decimal 1 ÷ 7 = 0.142857142857.... ⇒ The decimal is recurring for every digit between 1 and 7

'One ninth' as decimal 1 ÷ 9 = 0.111111.... ⇒ The decimal is recurring 

Answer: one fifth
5 0
4 years ago
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How to write 12/5 as a mixed number
Marat540 [252]

Answer:

2 2/5

Step-by-step explanation:

divide 12 into 5 you get 2.4

2.4 is the same as 2 4/10 which can be equal to 2 2/5

3 0
3 years ago
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The students in the Go Green dub started a whool recling program. In
OlgaM077 [116]

Answer:

Students collected

  • 85+255=340 pounds of paper;
  • 18+90=108 pounds of cans;
  • 340+108=448 pounds of paper and cans combined in September and October.

Step-by-step explanation:

In September, the students collected 85 pounds of paper and 18 pounds of cans to recycle.

In October, their goal is to collect three times the amount of paper and five times the amount of cans they collected in September.

Hence, in October they collected

  • 85\times 3=255 pounds of paper;
  • 18\times 5=90 pounds of cans.

In total, they collected

  • 85+255=340 pounds of paper;
  • 18+90=108 pounds of cans;
  • 340+108=448 pounds of paper and cans combined in September and October.
3 0
3 years ago
At a​ little-known vacation​ spot, taxi fares are a bargain. A 48​-mile taxi ride takes 56 minutes and costs ​$33.60. You want t
horsena [70]

Answer:

43 - mile taxi ride = at least 49 minutes

Step-by-step explanation:

49 minutes = 27 price

8 0
3 years ago
Two cargo ships spot a signal fire on a small island. The captains know they are 140 feet
Irina18 [472]

The distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

Explanation:

It is given that two ships A and B are at a distance 140 ft from each other.

The angle formed by ship A is 82º and the angle formed by ship B is 78º.

To determine the distance from ship B to the signal fire at point C, we need to know the another angle.

Hence, we have,

\begin{aligned}\angle A+\angle B+\angle C &=180^{\circ} \\82^{\circ}+78^{\circ}+\angle C &=180^{\circ} \\160^{\circ}+\angle C &=180^{\circ} \\\angle C &=20^{\circ}\end{aligned}

Now, we shall solve the problem using the law of sines,

\frac{\sin A}{a}=\frac{\sin C}{c}

Substituting the values, we have,

\frac{\sin 82^{\circ}}{a}=\frac{\sin 20^{\circ}}{140}

\frac{0.9903}{a}=\frac{0.3420}{140}

Simplifying, we get,

a=\frac{0.9903 \times 140}{0.3420}

a=405.4

Thus, the distance from Ship B to the signal fire at point C is 405.4 \mathrm{ft}

4 0
3 years ago
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