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3 years ago

Describe the patter and find the next two terms of each sequence 5,1,7,0,9,-1,11

Mathematics

1 answer:

Mila [183]3 years ago

6 0

There are two interleaved arithmetic sequences here.

Odd terms are 5, 7, 9, 11, increasing by 2 each time.

Even terms are 1, 0, -1, decreasing by 1 each time.

The next two terms will be -2, 13.

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If sector area of the shaded circle garden is 8π, and radius of the circle garden is 8 inch. Below figure represent the given sc

otez555 [7]

Answer:

The measurement of the central angle AOB is 45 degrees

Step-by-step explanation:

To solve this problem, we will have to work with fractions.

We will get the fraction of area the shaded portion is when compared to the whole garden.

First of all, we will need to calculate the area of the garden which is $\pi r^{2}$

in this case, our radius is 8 inches.

Next, we will compare the area of the sector to the area of the garden. This will be

This will be the shaded area/ area of the whole garden

= $\frac{8\pi}{\pi8^{2}}$

$=\frac{1}{8}$

We will now convert this ratio to an angle by multiplying it by 360 degrees.

This will be:

$\frac{1}{8}\times 360 = 45 degrees$

The measurement of the central angle AOB is 45 degrees

3 0

2 years ago

What is the length of the hypotenuse of the trim angle ?

Ksju [112]

So for this, you'll be using the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ . In this case, 10 and 24 are the legs, and AB is the hypotenuse. Our equation will be $10^2+24^2=AB^2$

Firstly, solve the exponents: $100+576=AB^2$

Next, combine 100 and 576: $676=AB^2$

And lastly, square root both sides to get $26=AB$

And in short, Line AB is 26 ft, or the first option.

7 0

3 years ago

A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1200 feet, what are the dimensions of

boyakko [2]

Answer:

width=60 length=540

Step-by-step explanation:

(w+9w)*2=1200

5 0

3 years ago

XxX+2y÷2w+3z<br> X=5 w=2 y=8 z=3

Oksana_A [137]

Answer: 38

Step-by-step explanation:

There is a rule between operations. I mean that you have to follow these stpes:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

You can remember as "Please Excuse My Dear Aunt Sally" or PEMDAS.

In this question: 5x5+2.8÷2.2+3.3= 25+16÷4+3=25+4+9=38

4 0

3 years ago

Simplify: 5(8r) + 3(4r)<br><br>

Lady_Fox [76]

5 * 8r = 40r
3 * 4r = 12r
40r + 12r = 52r
Solution: 52r

4 0

2 years ago