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2 years ago

Question 101 3.1 What is the constant difference between the consecutive terms? < 612,18.24 e 7.14.21.28

Mathematics

1 answer:

rewona [7]2 years ago

6 0

Answer:

The constant between two consecutive terms is called the common difference. The common difference is the number added to any one term of an arithmetic sequence that generates the subsequent term.

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A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

3 years ago

A dealer sold 200 tennis racquets. Some were sold for $33 each, and the rest were sold on sale for $18. The total receipts form

Mumz [18]

120 tennis racquets were sold for $ 18 each

Solution:

Let x = number that sell for $18 each

Then, 200 - x = number that sell for $33 each

The total receipts form these sales were 4800 dollars

Thus we frame a equation as:

number that sell for $18 each x 18 + number that sell for $33 each x 33 = 4800

$x \times 18 + (200-x) \times 33 = 4800\\\\Solve\ the\ above\ equation\ for\ x\\\\18x + 6600 - 33x = 4800\\\\Move\ the\ variables\ to\ one\ side\\\\18x-33x = 4800-6600\\\\-15x = -1800\\\\Divide\ both\ sides\ of\ equation\ by\ -15\\\\x = 120$

Thus 120 tennis racquets were sold for $ 18 each

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3 years ago

Help meeeeeeeee answer these questions or correct them your like my human checker because calculators to check get boring

IRISSAK [1]

4 is 16.3, I don't know 5 or 6, 7 is 176, I don't know 8 or 9, 10 is 8.1, I don't know 11, and 12 is 48.
(I used a calculator, lol)

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2 years ago

Chan is filling a box with 1-inch cubes. He filled the bottom layer as shown. Chan wants to completely fill the box. How many cu

IceJOKER [234]

The answer is D 174 cubes.

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2 years ago

Can you help with both questions 4 and 5?

cupoosta [38]

Well since the triangle is split into 2 triangles and they both are the same size so BD on the bottom is 15 which means naturally BC must be 30. Five I'm not sure about

8 0

3 years ago

Read 2 more answers

Question 101 3.1 What is the constant difference between the consecutive terms? < 612,18.24 e 7.14.21.28​

Question 101 3.1 What is the constant difference between the consecutive terms? < 612,18.24 e 7.14.21.28