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3 years ago

Subtract. Write the answer in standard form. (12+4i)−(3−7i)

Mathematics

2 answers:

LiRa [457]3 years ago

8 0

Answer:

9+11i

Step-by-step explanation:

12-3=9

4i-(-7i)=11

Elina [12.6K]3 years ago

7 0

Answer:9 +11i

Step-by-step explanation:12 +4i-3+7i=9+11i

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Which expression represents the difference of their lateral area?

zhuklara [117]

D is the answer.
LA of cube is 4(2r.2r) = 16 r^2
LA of cylinder is 2πr x 2r = 4πr^2
16 r^2 - 4πr^2 = 4r^2(4-π)

6 0

3 years ago

Does anyone know the answer??

statuscvo [17]

Answer:

b = 60

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 63² = 87²

b² + 3969 = 7569 ( subtract 3969 from both sides )

b² = 3600 ( take the square root of both sides )

b = $\sqrt{3600}$ = 60

8 0

2 years ago

Machines a and t were both cleaned this week machine a is cleaned every 15 weeks and machine t is cleaned every 12 weeks what is

lapo4ka [179]

Answer:

60 weeks

Step-by-step explanation:

Factor both numbers 12 and 15:

$12=2\cdot 2\cdot 3;$
$15=3\cdot 5.$

Find LCM(12,15). The common factor is only 3, multiply ths common factor by all factors that remain. Then

$LCM(12,15)=3\cdot 2\cdot 2\cdot 5=60.$

This means that the fewest number of weeks that will pass before both machines are cleaned again in the same week is 60 weeks.

7 0

3 years ago

Vignesh owns a cottage in the shape of a cube with each edge of length 26 feet. The roof is in the shape of a square pyramid and

3241004551 [841]

Answer:

Step-by-step explanation:

The shape of the cottage is cube

The edge of the cube is of length is 26ft

L_1 = 26ft.

The roof is in form of a square with with length 17ft.

L_2 = 17ft.

The roof is made up of 4 congruent isosceles triangles. Since the roof extends 2 ft over the edge of the cottage on each side, then the base of each triangle is 26 + 2 = 28 ft.

L_2 = 28 ft

Then, area of the roof is

A = 28²

A = 784 ft²

The triangular pyramid.

The triangular has four sides

Then,

Each of the area can be calculated using

A = ½ × b × h

Then, the four area of the triangular pyramid

A_total = 4 × ½ × b × h

A_total = 2 × b × h

The base of the triangle is 28ft.

The calculate the height of the triangle

Let's calculate the area of one of the triangles and then just multiply by 4. See attachment. Drop a perpendicular from the vertex of a triangle to its base. We now have the triangle broken up into two right triangles. The hypotenuse is 17 ft and one of the legs of the right triangle is 28 / 2 = 14 ft. Then the height is using Pythagoras theorem

a² = b² + c²

17² = 14² + h²

17² - 14² = h²

h² = 93

h = √93

Then, the area of the triangular pyramid is

A = 2 × b × h

A = 2 × 28 × √93

A = 540.04 ft²

Then, the area of the pyramid is approximately 540 ft², since the base of the pyramid cannot be seen.

But if we include the base, then, the total surface area is

A_t = A_triangular + A_base

A_t = 540 + 784

A_t = 1324 ft²

4 0

3 years ago

A sheet of paper is 8.25 inches wide by 11.3 inches long. What is the area of the front of the paper? 93.225 square inches 94.08

g100num [7]

Step-by-step explanation:

area is just multiply both of the numbers together

8.25*11.3=93.225sqin²

answer is 93.225sqin²

3 0

3 years ago