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SSSSS [86.1K]
2 years ago
9

The diameter of a circle is 12 1/3 inches.

Mathematics
2 answers:
KiRa [710]2 years ago
6 0

Answer:

6 1/6 took da test

Step-by-step explanation:

qaws [65]2 years ago
5 0

Answer:

The radius is 6 1/6

Step-by-step explanation:

The radius is half of the diameter and 12 1/3 divided by 2 = 6 1/6

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A complex number z_1z 1 ​ z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ​ ∣=6vertical bar, z, start subscript
aliina [53]

Answer:

The answer is "\bold{9.19- 9.19\ i}"

Step-by-step explanation:

When the value of z_1 has the following properties:

\to |z_1| =13

\theta = 315^{\circ} \\\\ = 1.75 \pi\ \ \ \ \ \ \ \ \ \ \ \ \ \  \ _{where} \ \ (\pi = 180^{\circ})

Calculating the value of z_1 :

= 13 \times [ \cos(1.75 \pi ) + i \sin(1.75 \pi) ] \\\\=  13 \times[\cos(1.75 \pi - 2\pi ) + \ i \sin(1.75 \pi - 2\pi )]\\ \\= 13 \times [\cos(-0.25 \pi ) +\  i \sin(-0.25 \pi) ]\\\\= 13 \times [0.707106781 - 0.707106781]\\\\ =9.19 - 9.19\ i \\\\

3 0
3 years ago
The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

5 0
3 years ago
7. Find the sum or difference.<br> -2(d +1) + (6d +4)
Arturiano [62]

Answer:

Step-by-step explanation:

Sum

-2d + 1 + 6d + 4

Solving like terms

4d + 5

Difference

-2d + 1 - 6d - 4

-8d - 3

4 0
3 years ago
Sylvia has a circular table cloth. The area of the table cloth is 254.34 in2
yaroslaw [1]

Answer:

The answer is C

Step-by-step explanation:

table with a 10 in radius

7 0
3 years ago
Factor 1.2 out of <br><br> 1.2x - 7.2
tatyana61 [14]

Answer:

6/5 x (x-6)

Step-by-step explanation:

convert the decimal into a fraction

1.2x -7.2

6/5x - 36/5

factor 6/5 from the expression

6/5x (x-6)

5 0
3 years ago
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