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Ganezh [65]
3 years ago
14

How many total circles will be used if there are 20 rows of circles? Show all calculations.

Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer:

210

Step-by-step explanation:

As there is one circle in first row, 2 circles in 2nd row and three in third row, which clearly implies that the number of circles in each row is equal to the row number. So, we have to calculate sum of first 20 numbers to calculate the total number of circles.

n=20

Total Circles=(n(n+1))/2

=(20 (20+1))/2

=(20(21))/2

=  420/2

=210

So the total number of circles will be 210.  

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The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height
Burka [1]

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = \frac{1}{2} x base x height

   From the problem,

        base  = \frac{1}{3} x height

let the base  = b

            height  = h

         b =  \frac{1}{3}h

          h = 3b

Input into the formula of area;

       24  =  \frac{1}{2} x b x 3b

   Mulitply through by 2;

       48 = 3b²

         b² = 16

         b = √16 = 4

So, h = 3b= 3 x 4 = 12in

6 0
3 years ago
An inequality is shown: −np − 4 ≤ 2(c − 3) Which of the following solves for n?
sesenic [268]

Answer:

\huge\boxed{n\leq\dfrac{2-2c}{p}\ \text{for}\ p0}

Step-by-step explanation:

-np-4\leq2(c-3)\qquad\text{use the distributive property}\\\\-np-4\leq2c-6\qquad\text{add 4 to both sides}\\\\-np\leq2c-2\qquad\text{change the signs}\\\\np\geq2-2c\qquad\text{divide both sides by}\ p\neq0\\\\\text{If}\ p0 ,\ \text{then}\\\boxed{n\geq\dfrac{2-2c}{p}}

6 0
3 years ago
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julsineya [31]
If the perimeter is 44 the the diagonal is 22
7 0
3 years ago
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Colt1911 [192]
Okay, since quotient is the answer to a division problem, you will divide w and -8. Increased means to add so, you will +7.

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5 0
3 years ago
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scZoUnD [109]

Answer:

(2,8)

Step-by-step explanation:

Add them together to get rid of the y.

-6x = -4 - y

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=

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Then solve for x.

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So...

x = 2

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8 0
3 years ago
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