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mash [69]
3 years ago
15

Find the area of the shaded region.​​

Mathematics
1 answer:
earnstyle [38]3 years ago
8 0

There are four parts of a circle, so you have to find out the area of the circle:-

10 cm=Radius

10^{2}=100

\pi=3.14

3.14*100=314 cm^{2}

Now, find the area of the square box:-

Since half the side of the square is 10 cm, the total length of one side is 2*10 which is 20 cm.

Area=S*S

=20*20=400 cm^{2}

Now subtract the area of the box from the area of the square:-

400-314= 86 cm^{2}

That is the area of the shaded part.

Happy to help you!

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Gianna put $1000 in a savings account for 18 months, The interest on the account is 3.5%. How much will Gianna earn in interest?
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Answer:

amount of interest = 52.5

amount at the end of the period = 1052.5

Step-by-step explanation:

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PRT/100

P is the principle

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T is the Time taken

18 months  = 1 years 6 months ( 1.5 years)

1000 * 3.5 * 1.5 = 5250

5250/100 = 52.5

the amount of interest = <u>52.5</u>

the amount she will have at the end of the period

= 1000 +52.5

= <u>1052.5</u>

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Consider the following polynomial. - 2x * y ^ 5 + 3x ^ 7 - 10x ^ 3 * y ^ 6 + 8x ^ 6 + 4 Which of the following statements are tr
Salsk061 [2.6K]

Option a: polynomial has 5 terms.

Option c: The constant term is 4.

Explanation:

The polynomial is -2xy^{5} +3x^{7} -10x^{3} y^{6} +8x^{6} +4

Option a: Polynomial has 5 terms

From the polynomial, we have,

1st term = -2 x y^{5}

2nd term = 3 x^{7}

3rd term = -10 x^{3} y^{6}

4th term = 8 x^{6}

5th term = 4

Hence, the polynomial has 5 terms.

Thus, Option a is the correct answer.

Option b: The leading coefficient is -2 and the degree of the polynomial is 7.

The leading coefficient is the coefficient of the variable with the largest degree.

The degree of the polynomial can be determine by the adding the powers of the variable.

degree of 1st term = -2 x y^{5} = 1+5=6

degree of 2nd term = 3 x^{7} =7

degree of 3rd term = -10 x^{3} y^{6} =3+6=9

degree of 4th term = 8 x^{6} =6

degree of 5th term = 4 =0

Thus, from these 5 terms the highest value is 9 which is the degree of the polynomial.

The polynomial -2xy^{5} +3x^{7} -10x^{3} y^{6} +8x^{6} +4 has a largest degree of 9 and the leading coefficient is -10.

Hence, Option b is not the correct answer.

Option c: The constant term is 4.

The constant term is a term in which variable will not occur.

From the polynomial -2xy^{5} +3x^{7} -10x^{3} y^{6} +8x^{6} +4, we can see that the constant term is 4.

Hence, Option c is the correct answer.

Option d: Polynomial is in decreasing degree order

The decreasing degree order is the degree in which each term is no larger than the degree of the preceding term.

From the polynomial, we have,

degree of 1st term = -2 x y^{5} = 1+5=6

degree of 2nd term = 3 x^{7} =7

degree of 3rd term = -10 x^{3} y^{6} =3+6=9

degree of 4th term = 8 x^{6} =6

degree of 5th term = 4 =0

where the degree of the 3rd term is not less than the 4th term.

Thus, the polynomial is not in decreasing degree order.

Hence, Option d is not the correct answer.

5 0
3 years ago
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