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krek1111 [17]
3 years ago
13

Write an inequality to express the relationship between -8 and -13​

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

The inequalities are used as:

a > b  (a is greater than b)

a < b (a is smaller than b)

a ≤ b (a is smaller than or equal to b)

a ≥ b (a is greater than or equal to b)

a ≠ b (a is different than b)

Now, let's apply these for our two numbers.

-8 and -13

We know that for negative numbers, the larger absolute value means that the number is smaller, then we relate these numbers in the next 3 ways.

-8 > -13  (-8 is greater than -13)

-13 < 8  (-13 is smaller than -8)

-13 ≠ -8 (-13 is different than -8)

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A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
Veseljchak [2.6K]

Answer:

Approximately 68.5\; \rm mm.

Step-by-step explanation:

Convert the angle of this sector to radians:

\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}.

The formula s = r\, \theta relates the arc length s of a sector of angle \theta (in radians) to the radius r of this sector.

In this question, it is given that the arc length of this sector is s = 36\; \rm mm. It was found that \theta = 2.22 radians. Rearrange the equation s = r\, \theta to find the radius r of this sector:

\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}.

The perimeter of this sector would be:

\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}.

8 0
2 years ago
Find f(-9) for f(x)= -3x^2-20
lions [1.4K]

Answer:

-263

Step-by-step explanation:

replace x by -9

5 0
2 years ago
The world’s population is currently estimated at 7,125,000,000. What is this to the nearest billion? billion
Oksana_A [137]

Answer:

7,000,000,000

Step-by-step explanation:

since the closest number is less than 5 (1<5) you round down making the nearest billion 7

8 0
3 years ago
Read 2 more answers
The circumference of a circle is 15π ft. What is the area, in square feet? Express your answer in terms of π.
DerKrebs [107]

Answer:

  • Area of the circle is 56.25π square feet.

Step-by-step explanation:

<u>Given that</u>:

  • The circumference of a circle is 15π ft.

<u>To Find</u>:

  • What is the area, in square feet?

<u>We know that</u>:

  • Circumference of a circle = 2πR
  • Area of a circle = πR²

Where,

  • Radius is denoted as R.

<u>Finding the radius of the circle</u>:

Circumference of a circle = 15π

⟶ 2πR = 15π

⟶ 2πR = 2π × 7.5

Cancelling 2π.

⟶ R = 7.5

∴ Radius of the circle = 7.5 ft.

<u>Finding the area of the circle</u>:

⟶ Area = πR²

⟶ Area = π(7.5)²

⟶ Area = π × 7.5 × 7.5

⟶ Area = π × 56.25

⟶ Area = 56.25π

∴ Area of the circle = 56.25π ft.²

7 0
3 years ago
How can you rewrite the expression (8-5i)^2 in the form a+bi?
otez555 [7]
(a-b)^2 = a^2-2ab+b^2

(8-5i)^2 = 8^2-2(8)(5i)+(5i)^2

= 64-80i+25i^2

i^2=-1

So

= 64-80i+25(-1)

=64-25-80i

= <em><u>39 - 80i</u></em>

which is your answer :)
8 0
3 years ago
Read 2 more answers
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