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Leokris [45]
3 years ago
9

The circumference of the circle shown below is 42 centimeters. Which

Mathematics
2 answers:
Ede4ka [16]3 years ago
3 0

Answer:

It is answer B (125 / 360) * 42

 

Step-by-step explanation:

skad [1K]3 years ago
3 0

Answer: B . \frac{125}{360} . 42

Step-by-step explanation:

AB is an arc , the formula for calculating the length of an arc is given as

L = Ф/360 X 2πr

where Ф is the angle subtended by the arc , 2πr is the circumference of the circle.

Substituting the given values into the formula , we have

L = 125/360 x 42

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A garden table and a bench cost 607 combined. The garden table costs 43 less than the bench. What is the cost of the bench?
Paha777 [63]

Answer is 564

607-40=567

567-3=564


5 0
3 years ago
Read 2 more answers
Solve the compound inequality.<br> x+3&lt;0 or 5x&gt;−10
IgorC [24]

Answer:

x + 3 < 0 \:  \: or \:  \: 5x >  - 10 \\  \\ x <  - 3 \:  \: or \:  \: x >  - 2 \\  \\ { \boxed{  \:  \:  - 3 < x <  - 2 \:  \: }}

5 0
2 years ago
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Answer the question with explanation;​
PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0

Therefore, by the series divergence test, the series \sum_{n=1}^\infty\frac{n^2}{(n+1)^2} diverges.

EDIT: To VectorFundament120, if (x_n)_{n\in\mathbb N} is a sequence, both \lim x_n and \lim_{n\to\infty}x_n are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

7 0
2 years ago
Read 2 more answers
(8, 1) and (-1, 10)<br> Slope
gizmo_the_mogwai [7]

Answer:

<h2>The answer is 1</h2>

Step-by-step explanation:

The slope of the line between two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}

where

(x1 , y1) and (x2 , y2) are the points

From the question is points are

(8, 1) and (-1, 10)

Substitute the values into the above formula and solve for the slope

That's

m =  \frac{10 - 1}{8 + 1}  \\  =  \frac{9}{9}   = 1

We have the final answer as

<h3>1 </h3>

Hope this helps you

7 0
3 years ago
A cone has a diameter of 8 units and a height of 8 units. units, and its volume is Its radius is volume of cubic units. If a sph
aev [14]

The above question is not complete because it was not written and arranged properly

Complete Question

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder. Answer: 1) Volume of the cone = 134.04cubic units

2)Volume of the cylinder = 402.12cubic units

3) Volume of the sphere= 268.08 cubic units. Hence, if a sphere has the same radius as the cylinder, its volume is 2/3 times the volume of the cylinder.

Step-by-step explanation:

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

Volume of a cone = 1/3πr²h

h = 8 units

r = 4 units

Volume = 1/3 × π × 4² × 8

134.04cubic units

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

Volume of a cylinder = πr²h

Height and radius is the same as that of the cones hence,

h = 8 units

r = 4 units

= π × 4² × 8

= 402.12cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder.

Volume of a Sphere = 4/3πr³

r = radius of the cylinder = 4 units

Volume of a Sphere = 4/3 × π × 4³

= 268.08 cubic units.

From the above question, we are asked to compare the volume of the sphere with the volume of the cylinder

Volume of the sphere : Volume of the cylinder

268.08 cubic units : 402.12 cubic units

268.08/402.12 = 2/3

Therefore, the volume of the sphere is 2/3 times the volume of the cylinder

6 0
1 year ago
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