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2 years ago

Which expression is equivalent to (3-5i)-(-2+i)

Mathematics

1 answer:

N76 [4]2 years ago

3 0

Answer:

-6i + 5

Step-by-step explanation:

(3-5i)-(-2+i) = 3 - 5i + 2- i = (-5i - i) + (3 + 2) = -6i + 5

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Amy, Bruce and Carlos collected a total of 168 pounds of cans to recycle. Bruce collected 1/3 the number of pounds of cans Carlo

disa [49]

A + b + c = 168
b = 1/3c
a = b + c....a = 1/3c + c = 4/3c

now we sub
4/3c + 1/3c + c = 168
8/3c = 168
c = 168 * 3/8
c = 504/8
c = 63 <=== Carlos collected 63 lbs

a = 4/3c
a = 4/3(63)
a = 252/3
a = 84 <== Amy collected 84 lbs

b = 1/3c
b = 1/3(63)
b = 63/3 <== Bruce collected 21 lbs
b = 21

3 0

2 years ago

If the circumference of the circle is 37.68 units, what is the area? (Use 3.14 for pi .)

cricket20 [7]

Answer:

Area of the circle = $113.04\;units^2$

Step-by-step explanation:

Circumference = $37.68\;units$

Circumference of the circle = $2\times \pi \times r$

As,

$\pi =\dfrac{22}{7}=3.14$

$37.68=2\times \pi \times r\\\\37.68=2\times 3.14 \times r\\\\37.68=6.28\times r\\\\r=\dfrac{37.68}{6.28} \\\\r=6\;units$

Area of a circle = $\pi \times r^2$

$=3.14\times (6\times 6)\\\\=3.14\times 36\\\\=113.04\;units^2$

3 0

2 years ago

The table shows weight for different US coins Allen has one each coin in his hand.round each weight to the nearest whole gram.th

Elodia [21]

penny: 3 grams

nickel: 5 grams

dime: 2 grams

quarter: 6 grams

half dollar: 11 grams

3+5+2+6+11= 27

answer: 27 grams

hope this helps!

4 0

2 years ago

Marcus changed jobs after college. His old salary was $48000 per year. Now his new salary is 37% more per year. What is his new

spayn [35]

Answer:

65,760

Step-by-step explanation:

move decimal over two places to make a percent a decimal so .37

then multiply that times the 48000 to get 17,760 and then add that to the original 48000 to get 65,760

8 0

2 years ago

Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side

svp [43]

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

$A = \frac{(AB + CD)DH}{2}$

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.

7 0

2 years ago