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SCORPION-xisa [38]
4 years ago
6

By definition, |a + bi| =

Mathematics
1 answer:
bearhunter [10]4 years ago
8 0

Answer:

|z| = |a + ib| = \sqrt{a^{2} + b^{2}}.

Step-by-step explanation:

By the definition of complex numbers the modulus of any complex number z = x + iy is given by |z| = |x + iy| = \sqrt{x^{2} + y^{2}}.

Say for example, z = 3 + 4i is a complex number then

|z| = |3 - 4i| = \sqrt{3^{2} + 4^{2}} = 5

In a complex plane modulus of a complex number z = x + iy means the distance of the point (x, iy) from the origin. (Answer)

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Joseph made a model rocket by attaching a cone
Lerok [7]

Answer:

Area = 270π inches squared. Volume = 550π inches cubed

Step-by-step explanation:

Surface Area:

Cylinder Area=2πrh+2πr^2= 180π+50π=230π inches squared.

Cone Area = πr(r+√(h^2+r^2)) = 5π(18) = 90π inches squared.

Total Area = 230π+90π = 320π inches squared.

Total Area - base = 320π-50π = 270π inches squared.

Volume:

Cylinder volume = πr^2h = 450π inches cubed

Cone volume = πr^2(h/3) = 100π inches cubed

Total Volume = 550π inches cubed

4 0
3 years ago
Jacob is going on a road trip across the country . He covers 10 miles in 15 minutes . He spends 10 minutes buying gas and some s
iren [92.7K]

Answer: 3.33miles

Step-by-step explanation:

given data:

distance covered in first 15 minutes = 10 miles

time spent buying gas and some snacks = 10mins.

= 10/15 * (15 –10 )

= 3.33miles

jacob has traveled 3.3miles between 10 and 15 minutes.

3 0
3 years ago
Read 2 more answers
Square root of 45 with radicals
slavikrds [6]
√(45)
√(9×5)
√(3×3×5)
3√5


6 0
3 years ago
Read 2 more answers
Can you help please? It would be helpful.
steposvetlana [31]

Answer:

660 square feet

Step-by-step explanation:

1 chain = 66 feet

Length ( l ) = 66 feet

Breadth ( b ) = 10 feet

To find :

The area of a cricket pitch in square feet = ?

The area of a cricket pitch in square feet will be in the shape of rectangle.

Formula : -

Area of a rectangle = lb

Area of a rectangle

= 66 x 10

= 660 square feet

Therefore,

660 square feet is the area of a cricket pitch.

8 0
3 years ago
When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the students work, and use the check to
Liula [17]
878/3 is 28 with a remainder of 10! The error is when they subtracted 258-248 wrong
3 0
3 years ago
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