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3 years ago

The diameter is a circle is 16cm. Find it’s circumference in terms of π. C= ________cm

Mathematics

1 answer:

Paraphin [41]3 years ago

5 0

Answer:

Circumference of the circle = 100.53 in.

Step-by-step explanation:

Circumference of a circle is given by the formula,

Circumference = 2πr

Radius of the circle 'r' = 16 in.

Therefore, circumference of the circle with radius 16 in will be,

C = 2π(16)

C = 32π

C = 100.53 in.

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How do I find this formula?<br><br> Trapizoid:b1=3 m;b2=4 m;A=7m2

DochEvi [55]

That depends. What are you trying to find? The formula for the perimeter? The formula for the area?

8 0

4 years ago

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A sequence can be defined by the explicit formula <img src="https://tex.z-dn.net/?f=a_n%3D5-3_n" id="TexFormula1" title="a_n=5-3

astra-53 [7]

<h2>Answer:</h2>

Option: C is the correct answer.

C. $a_n=a_{n-1}-3\ ;\ a_1=2$

<h2>Step-by-step explanation:</h2>

The sequence is given by the explicit formula as:

$a_n=5-3n$

where $a_n$ is the nth term of the sequence.

Also, the first term of the sequence is: $a_1$

i.e.

$a_1=5-3\times 1\\\\i.e.\\\\a_1=5-3\\\\i.e.\\\\a_1=2$

Also,

$a_n=5-3n\\\\i.e.\\\\a_n=5-3n+3-3\\\\i.e.\\\\a_n=5-3(n-1)-3\\\\i.e.\\\\a_n=a_{n-1}-3$

Hence, the recursive formula which represents the same sequence is:

Option: C

3 0

3 years ago

Simply. If the solution is not a real number enter not a real number rotate picture answer all 3 please

yuradex [85]

Answer:

13. $\frac{\sqrt[5]{x^4} }{x}$ .

14. $v = \pm3\sqrt{5}$

15. 2.

Step-by-step explanation:

13. $x^{1/5} * x^{-2/5}$

= $x^{1/5 + (-2/5)}$

= $x^{1/5 - 2/5}$

= $x^{-1/5}$

= $\frac{1}{x^{1/5}}$

= $\frac{x^{4/5}}{x^{1/5 + 4/5}}$

= $\frac{x^{4/5}}{x}$

= $\frac{\sqrt[5]{x^4} }{x}$ .

14. $v^2 - 45 = 0$

$v^2 = 45$

$\sqrt{v^2} = \pm\sqrt{45}$

$\sqrt{v^2} = \pm\sqrt{3^2 * 5}$

$v = \pm3\sqrt{5}$ .

15. $\sqrt[3]{2} * \sqrt[3]{4}$

= $\sqrt[3]{2 * 4}$

= $\sqrt[3]{2 * 2 * 2}$

= $\sqrt[3]{2 ^3}$

= 2.

Hope this helps!

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3 years ago

Solve for x: 3x+6>-15 x=?

kati45 [8]

Answer:

x>-7

Step-by-step explanation:

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3 years ago

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The height of the triangle is 3 meters longer than twice its base. Find the base and height if the area is 8 square meters. Roun

polet [3.4K]

9514 1404 393

Answer:

base: 2.18 m
height: 7.35 m

Step-by-step explanation:

Let b represent the base of the triangle in meters. Then the height is ...

h = 3 +2b

and the area is ...

A = 1/2bh

8 = 1/2(b)(3 +2b)

16 = 3b +2b^2 . . . . . . . multiply by 2 and eliminate parentheses

2(b^2 +3/2b + (9/16)) = 16 + 9/8 . . . . . . complete the square

2(b +3/4)^2 = 17.125

(b +3/4)^2 = 8.5625 . . . . . divide by 2

b + 0.75 = √8.5625 ≈ 2.9262

b = -0.75 +2.9262 = 2.1762

h = 3 +2b = 7.3523

The base is about 2.18 meters and the height is about 7.35 meters.

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3 years ago