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JulijaS [17]
3 years ago
13

Find the least number which must be added to 6203 to obtain a perfect square.

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0

Answer:

79

Step-by-step explanation:

       78

         ---------

7 |       62 03 

          49

         ----------

148 |   13 03

          11 84

         -----------

            19

         -----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

                  = 79 * 79

                  = 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

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Find the arc length for arcs of circles as follows:
Sauron [17]

Answer:

≈ 11.78 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \frac{\frac{\pi }{4} }{2\pi } ( cancel 2π on numerator/ denominator )

     = 15 × \frac{\pi }{4}

     = \frac{15\pi }{4}

     ≈ 11.78 in ( to 2 dec. places )

6 0
2 years ago
If sin A = 3/8, find the value of cosec A - sec A.​
alexira [117]

Answer:

\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}

Step by step explanation:

\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies  1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\

\implies \dfrac 1{\cos A} = \pm\dfrac{8}{\sqrt{55}}

\text{Now,}\\\\\csc A - \sec A\\\\=\dfrac{1}{\sin A}- \dfrac{1}{\cos A}\\\\=\dfrac 83 -\left(\pm \dfrac 8{\sqrt {55}} \right)\\ \\\text{Hence,}\\\\\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}

6 0
2 years ago
Danielle sells
Xelga [282]
Hello! So a 9% commission is earned on the amount of beauty supplies sold. To find out the amount of commission earned, all you have to do is multiply $895 by 9%. 895 * 9% (0.09) is 80.55. $80.55 is earned in commission, Now, add 450 to that amount. 80.55 + 450 is 530.55. There. Danielle earned a total of $530.55 this week.
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3 years ago
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Reil [10]

Answer:

1. 81

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3 years ago
A linear function is graphed below.
Evgen [1.6K]

Answer:

-1\frac{1}{2}

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

\frac{y^2-y^1}{x^2-x^1}}

To understand what the variables are, you can take this :

(x^1,y^1)

(x^2,y^2)

Substitute the points :

(-1,4)

(5,-5)

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\frac{-5-4}{5-(-1)}

\frac{-3}{2}

-1\frac{1}{2}

4 0
3 years ago
Read 2 more answers
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