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3 years ago

The number that, when added to the original number, has a

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

Answer:

yields zero

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero.

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"Two less than the total of a number and five"

tino4ka555 [31]

Answer:

Step-by-step explanation:

6 0

3 years ago

1. Drag and drop an answer to each box to correctly complete the derivation of a formula for the area of a sector of a circle.

N76 [4]

Answer:-

Central angle , Ф/2π , A = Ф/2 r²

The ratio is 1/3 , V = 1/3 Bh

The equation of the circle in standard form is (x - 4)² + (k - 1)² = 25

Step-by-step explanation:

* Lets revise the rules of the area of the sector of a circle

- The area of the sector which has a central angle Ф° is

(Ф°/360°) × πr², where 360° is the measure of the circle and r is

the radius of the circle

- The area of the sector which has a central angle Ф radians is

(1/2) r²Ф

* Lets complete the missing in the 1st picture

- The ratio of the sector's area A to the circle's area is equal to the

ratio of the central angle to the measure of a full rotation of the circle

- A full rotation of a circle is 2π. This proportion can written as

A/πr² = Ф/2π

- Multiply both sides by πr² to get A = Ф/2 r² where Ф is the measure

of the central angle and r is the radius of the circle

* Lets revise the rules of the volume of the prism and the volume

of the pyramid, where they have the same base and height

- The volume of the prism = area of the base × its height

- The volume of the pyramid = 1/3 × area of the base × its height

- From them the ratio of the volume of the pyramid to the volume

of the prism is 1/3

- The formula of the volume of the prism is V = Bh, where B is the

area of the base and h is the height, the formula of the volume

of the pyramid is V = 1/3 Bh

* Lets revise the standard form of the equation of a circle with

center (h , k) and radius r

- The equation is: (x - h)² + (y - k)² = r²

∴ x² - 2hx + h² + y² - 2ky + k² - r² = 0

∵ x² - 8x + y² - 2y - 8 = 0

- Lets equate the two equation

∴ x² - 2hx + h² + y² - 2ky + k² - r² = x² - 8x + y² - 2y - 8 = 0

∵ -2h = -8 ⇒ ÷ -2

∴ h = 4

∵ -2k = -2 ⇒ ÷ -2

∴ k = 1

∵ h² + k² - r² = -8

∴ (4)² + (1)² - r² = -8

∴ 16 + 1 - r² = -8

∴ 17 - r² = -8 ⇒ subtract 17 from both sides

∴ -r² = -15 × -1

∴ r² = 25

* Substitute the values of h , k , r in the equation of the standard

form of the circle

∴ (x - 4)² + (k - 1)² = 25

* The equation of the circle in standard form is (x - 4)² + (k - 1)² = 25

8 0

3 years ago

How do you calculate the Hypotenuse?

julia-pushkina [17]

Formula:
a^2+b^2=c^2

c^2: Is the hypotenuse.

For a^2 and b^2, you have to multiply both it by its self.

Then, add both.

Next, you square root it.

Example:

a^2+b^2=c^2

14^2+7^2=c^2

196+49=c^2

245=c^2

15.64=c^2

4 0

3 years ago

The length of a rectangle is 2 meters less than 3 times the width. The perimeter is 44

Yakvenalex [24]

Answer:

Width of rectangle = 6 meters

Step-by-step explanation:

Let

Width of rectangle = x

Length of rectangle = 3x-2

Perimeter of rectangle = 44 meters

We need to find:

The Width of rectangle.

The formula used is:

$Perimeter\:of\:rectangle=2(Length\times Width)$

Putting values and finding value of x

$Perimeter\:of\:rectangle=2(Length\times Width)\\44=2(3x-2+x)\\44=2(4x-2)\\44=8x-4\\8x=44+4\\8x=48\\x=\frac{48}{8}\\x=6$

So, we get the value of x = 6.

We know that Width of rectangle = x = 6

So, Width of rectangle = 6 meters

5 0

2 years ago

The sum of two numbers is 95

nikklg [1K]

The sum of two number to equal 95 could equal 90 and 5

7 0

3 years ago

The number that, when added to the original number, has a ​

The number that, when added to the original number, has a