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jenyasd209 [6]
3 years ago
10

Simplify the expression (2−3i) (5+i) by distributing. Express your answer in a+bi form, Step by Step.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
7 0

Answer:

13-13i

Step-by-step explanation:

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

10+2i-15i-3i²

10-13i+3

13-13i

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A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th
masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

#SPJ4

3 0
1 year ago
Solve for x in the diagram below.
Neko [114]

Answer:

X = 15

Step-by-step explanation:

We can tell that the two sides that show the degrees are equal because of the arc. We can set up a simple equation:

x + 45 = 60

x = 15

6 0
2 years ago
Read 2 more answers
Right triangle abc has one leg of length 6 cm, one leg of length 8 cm and a right angle at
Sauron [17]
Answer:
side length of the square = 10 cm

Explanation:
The attached image shows a diagram representing the scenario described in the problem.
Taking a look at this diagram, we can note that the side length of the square is equal to the hypotenuse of the right-angled triangle
Therefore, we can get the side of the square by calculating the length of the hypotenuse using Pythagorean theorem as follows:
(hypotenuse)² = (length of first leg)² + (length of second leg)²
(hypotenuse)² = (8)² + (6)²
(hypotenuse)² = 64 + 36
(hypotenuse)² = 100
hypotenuse = √100
hypotenuse = 10 cm

This means that the length of the side of the square is also 10 cm

Hope this helps :)

6 0
3 years ago
PLEASE HELP ME WITH THIS !
Ugo [173]

I believe they all have y-intersects at the origin.  From the looks of it, D and E are the same expression. I'm not sure if that is a typo or not.

8 0
3 years ago
The area of a rectangle is 28ft^2, and the length is 5 ft less than three times the width. find the dimensions of the rectangle.
kramer

Answer:

Step-by-step explanation:

The area of a rectangle is

28 ft2

, and the length of the rectangle is

5 ft

less than three times the width. Find the dimensions of the rectangle.

6 0
3 years ago
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