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2 years ago

Dividing the polynomials by using long division

Mathematics

1 answer:

Andrew [12]2 years ago

4 0

Answer:

x ) -x^2 + 8x ( -x + 8

-x^2

__________

0 + 8x

_________

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Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Tha

julsineya [31]

Given:

The three exterior angles of a pentagon measures 60,80 and 90.

To find:

The measure of other two exterior angle, assuming them equally.

Solution:

Let x be the measure of two other exterior angles of the pentagon.

We know that the sum of all exterior angles of a pentagon is 360 degrees.

$60^\circ+80^\circ+90^\circ+x+x=360^\circ$

$230^\circ+2x=360^\circ$

$2x=360^\circ-230^\circ$

$2x=130^\circ$

Divide both sides by 2.

$\dfrac{2x}{2}=\dfrac{130^\circ}{2}$

$x=65^\circ$

Therefore, the measures of both exterior angles are 65 degrees.

6 0

2 years ago

The triangles are similar. If DE = 24, EF = 42, and AB = 8, find BC

Alik [6]

If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14

3 0

3 years ago

The area of a circle is 39.62cm2.<br> Find the length of the radius rounded to 2 DP.

Shkiper50 [21]

Using the formula for area of a circle:

Area = pi x radius^2

Replace area with the given value:

39.62 = pi x radius^2

Divide both sides by pi

Radius^2 = 39.62/pi

Radius^2 = 12.62

Solve for radius by taking the square root of both sides

Radius = sqrt(12.62)

Radius = 3.55 cm

4 0

2 years ago

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment.

ArbitrLikvidat [17]

The table gives the different combinations of stamps Karl has

the first option says that

a. The total number of stamps is 25.

according to this the addition of stamps for each combination should be 25

1st combination is 18 + 17 = 35

therefore this statement is wrong as the addition of stamps is 35 stamps

b. The total value of the stamps is $18.75.

lets check the first combination

18 x $ 0.45 + 17 x $ 0.65 = 8.1 + 11.05 = $19.15

so this statement too is wrong

c. The total number of stamps is 35.

as calculated above we know that the sum of the stamps in the first combination is 35

so lets check for the other combinations

20 + 15 = 35

22 + 13 = 35

25 + 10 = 35

so the answer is 35

this statement is correct

d.The total value of the stamps is $19.15

lets check the value for the third combination

22 x 0.45 + 13 x 0.65 = 9.9 + 8.45 = $18.35

this value isnt equal to $ 19.15

therefore this statement too is wrong

correct answer is C

4 0

2 years ago

Read 2 more answers

Drag each scenario to show whether the final result will be greater than the original

Hoochie [10]

A $20 decrease followed by a $20 increase - original value

A 75% decrease followed by a 50% increase - less than the original value

A 50% increase followed by a 33 1/3% decrease - greater than the original value

A 60% increase followed by a 40% decrease - greater than the original value

A 100% increase followed by a 33 1/3% decrease - greater than the original

7 0

3 years ago