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DedPeter [7]
2 years ago
8

What is the value of x?

Mathematics
1 answer:
uranmaximum [27]2 years ago
3 0

Answer:

47 degrees

Step-by-step explanation:

A shape always adds up to 180 so I added the two degrees and subtracted it from 180. You get the answer 47

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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
The perimeter of a rectangle is 52 feet. The length is 2 more than twice the width. What is the length of the rectangle?
SashulF [63]

Answer:  The Length of the rectangle is 18 feet.

The width is 8 feet

Step-by-step explanation:  Perimeter is 2w + 2L

Length here is <u>2w + 2</u>   Substitute this value for L in the equation.

P = 2w + 2L

52 = 2w + 2(2w + 2)  distribute and add

52 = 2w + 4w + 4

52 = 6w + 4    Subtract 4 from both sides, Then divide both sides by 6 to solve  for w

48 = 6w

8 = w  <u>The width is 8 ft</u>

Substitute into the original expression for Length

Length here is <u>2w + 2</u> :  2(8) + 2   16 + 2 = 18

<u>The Length is 18 feet.</u>

<u>Check:</u>   in the original equation P = 2w + 2L

52 = 2(8) + 2(18)

52 = 16 + 36  TRUE!

3 0
2 years ago
Read 2 more answers
Jim nasium is building a tree house for histwo daughters. He cuts 12 pieces of wood from a board that is 128 inches long.He cuts
AnnyKZ [126]

Answer:

6.75 inches each

Step-by-step explanation:

128 less 2 inches for the cuttingblade

5 x 15.75 = 78.75

126 - 78.75 =47.25

47.25/7 = 6.75

5 0
3 years ago
The diagram shows a circle inside a square.<br> a<br> 16 cm<br> Work out the area of the circle.
Ratling [72]

Answer 234

hope helped

4 0
3 years ago
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What is radian measure in geometry? what do you use it for?​
trapecia [35]

Answer:

The radian is a unit of measure for angles used mainly in trigonometry. It is used instead of degrees. ... As seen in the figure above, a radian is defined by an arc of a circle. The length of the arc is equal to the radius of the circle. Because of this the radian is a fixed size no matter what the size of the circle is.

Step-by-step explanation:

8 0
3 years ago
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