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Andru [333]
2 years ago
5

Please help me solve this problem ASAP

Mathematics
1 answer:
Andru [333]2 years ago
4 0
Quadrant 4
Hope this helps!
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Last term of the arithmetic progression 8,15,22 is 218. Find<br>the number of terms.​
icang [17]

Answer:

31 terms.

Step-by-step explanation:

218 = 8 +  (n-1)7

210 = (n-1)7

30 + n-1

n = 31

There would be 31 terms in the given AP.

7 0
3 years ago
The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions
AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

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

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

                             273 = (2x - 5) x

                             273 = 2x^2 - 5x

<u><em>Step 3</em></u><em> :</em>

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

ac = 2\times-273 = -546 and b= -5

Factorizing -546 as -26\times21

The product of -26\times21 = -546

The sum of -26 + 21 = -5

<u><em>Step 5</em></u><em> :</em>

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

<u><em>Step 6</em></u><em> :</em>

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

                                                = 2(10.5) - 5

                                                = 21 - 5

                                    length = 16 meters

5 0
3 years ago
An arc of length 8 in. Is intersected by a central angle in a circle with a radius of 3in. What is the measure of the angle? Rou
gladu [14]

Answer:

Step-by-step explanation:

Circumference = 6π

θ = 8/3 = 2.7 radians

7 0
2 years ago
If a tree diagram were drawn to determine the number of possible outcomes when choosing one of 2 shirts, one of 7 ties , and one
uysha [10]
2x7x4=56

brainliest G:)))))))

8 0
3 years ago
Read 2 more answers
Use the equation g = m + 6 to find the value of g when m = 6​
KiRa [710]

Answer:

g=12

Step-by-step explanation:

substitute m for 6 and rewrite the equation

g = 6+6

g=12

3 0
3 years ago
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