Can someone help me with this please

Answer:

the sum of all exterior angles equal 360

Step-by-step explanation:

Summed, the exterior angles equal 360 degrees. A special rule exists for regular polygons: because they are equiangular, the exterior angles are also congruent, so the measure of any given exterior angle is 360/n degrees.

Answer:

8,12

Step-by-step explanation:

Given:

The degree of the polynomial = 3

Leading coefficient = 1

Zeros of the polynomial are 5 and 4i.

To find:

The expanded form of the polynomial.

Solution:

According to the complex conjugate root theorem, if a+ib is a zero of a polynomial, then a-ib is also a zero of that polynomial.

Here, zeros of the polynomial are 5 and 4i. It means the third zero of the polynomial is -4i. So, the factors of the polynomial are [tex](x-5),(x-4i),(x+4i)[/tex].

The required polynomial is the product of its all factor and a constant which is equal to the leading coefficient. Here, the constant is 1. So, the required polynomial is

[tex]P(x)=1(x-5)(x-4i)(x+4i)[/tex]

[tex]P(x)=(x-5)(x^2-(4i)^2)[/tex]

[tex]P(x)=(x-5)(x^2+16)[/tex]             [tex][\because i^2=-1][/tex]

[tex]P(x)=(x-5)(x^2+16)[/tex]

On further simplification, we get

[tex]P(x)=x^3+16x-5x^2-80[/tex]

[tex]P(x)=x^3-5x^2+16x-80[/tex]

Therefore, the required polynomial P is [tex]P(x)=x^3-5x^2+16x-80[/tex].

Answer:

23 and 31 are the numbers you are searching for.

Step-by-step explanation:

23 + 31 = 54

31 - 23 = 8

Have a nice day!

Answer:

(3, - 1 )

Step-by-step explanation:

Given the 2 equations

3x + y = 8 → (1)

7x - 4y = 25 → (2)

Multiplying (1) by 4 and adding to (2) will eliminate the y- term

12x + 4y = 32 → (3)

Add (2) and (3)  term by term to eliminate y

19x + 0 = 57

19x = 57 ( divide both sides by 19 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3(3) + y = 8

9 + y = 8 ( subtract 9 from both sides )

y = - 1

solution is (3, - 1 )

Answer:

1/64

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

$99

Step-by-step explanation:

So the initial price of the tablet was $100. It was marked up by 10% and then marked down by 10%. We are asked to find the final price.

To find the final price, lets first find the price after the tablet price was marked up by 10%. This means that the tablet price increased by 10%. To find the price, we can add 10% of the new original price (or 10% times $100) original price ($100):

$100 + ($100 × 0.1) = $100 + $10 = $110

We could have also multiplied $100 by 1.1 (or 1 + 10%) to find the new price.

So now we know that the new price after the tablet is marked up by 10% is $110. Now, to find the final price, we have to find the price after the new price is marked down by 10%. We can do this by taking the new price ($110) and subtracting 10% of the new price (or 10% times $110):

$110 - ($110 × 0.1) = $110 - $11 = $99

So the final price of the tablet would be $99.

I hope you find my answer to be helpful. Happy studying.

Answer:

b76vtvtc4c4c5ctvtvtctvtvtv

Answer:

So we are told they are congruent: Hence

Answer and Step-by-step explanation:

Due to the transversal line from point D to point B, angle ABC and angle CDE are congruent. To find x, we set them equal to each other.

61 = 2x

Divide each side by 2.

30.5 = x

#teamtrees #PAW (Plant And Water)

Answer: [tex]\dfrac{14}{55}, \dfrac{13}{55}[/tex]

Step-by-step explanation:

Given

There are 8 red and 4 blue beads

Three beads were taken from the box

(i)No of ways of choosing three red beads out of 12 beads is [tex]^8C_3[/tex]

Total no of ways [tex]^{12}C_3[/tex]

Probability is

[tex]P=\dfrac{^8C_3}{^{12}C_3}=\dfrac{8\times 7\times 6}{12\times 11\times 10}=\dfrac{2\times 7}{11\times 5}\\P=\dfrac{14}{55}[/tex]

(ii)atleast two beads refers to minimum two beads

There can be two possibilities (2B,1 R), (3B, 0R)

[tex]\Rightarrow P=\dfrac{^4C_2\times ^8C_1}{^{12}C_3}+\dfrac{^4C_3}{^{12}C_3}\\\\\Rightarrow P=\dfrac{6\times 8}{220}+\dfrac{4}{220}=\dfrac{52}{220}\\\\\Rightarrow P=\dfrac{13}{55}[/tex]

Answer:211

Step-by-step explanation:you figure out you height by division and add that 120+75+16 and that’s 211 we learning that in school

The number in the parentheses is the rate of change. Because this number is less than 1 it is a decrease, so it is a decay.

The percent decrease is 1 - 0.63 = 0.37 = 37% decrease

Given:

Carol has 88cm of string and cuts it in the ratio 5 : 6.

To find:

How much longer is the longest piece compared to the shortest piece.

Solution:

Let the lengths of two pieces of string are 5x and 6x. Then,

[tex]5x+6x=88[/tex]

[tex]11x=88[/tex]

[tex]x=\dfrac{88}{11}[/tex]

[tex]x=8[/tex]

Now, the lengths of pieces are:

[tex]5x=5(8)[/tex]

[tex]5x=40[/tex]

And,

[tex]6x=6(8)[/tex]

[tex]6x=48[/tex]

The difference between the longer piece and shorter piece is:

[tex]48-40=8[/tex]

Therefore, the longer piece is 8 m longer than the shorter piece.

Answer:

Step-by-step explanation:

The diagonal slash "/" used as the bar between numerator and denominator of an in-line fraction (Bringhurst 1997, p. 284). The solidus is also called a diagonal.

Answer:

(4,1)

Step-by-step explanation:

point b is at (-1, 4) and the rule for 90 degree clockwise rotations is (y, -x) so it's (4, 1)

Answer:

the answer is 4, 1

Answer:

0,7. 0,7. should be the right answer from what ive looked at

Answer:

1.17126x 10*2

Step-by-step explanation:

Answer:

A) s and t.

Step-by-step explanation:

just trust me. Plus lines s and t are the only pair of lines that don't touch each other and can go on forever not touching each other.

Answer:

2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

distance formula = square root of the difference of the y-values, squared, plus the difference of the x-values, squared

= [tex]\sqrt{4 + 4}[/tex]

= [tex]\sqrt{4}[/tex] [tex]\sqrt{2}[/tex]

= 2 [tex]\sqrt{2}[/tex]

Answer:

f(1) = 1

f(1) = -2

f(1) = -8

Step-by-step explanation:

see where there is/are points on the graph where the y-value equals one

(1, 1)

(-2, 1)

(-8, 1)

Answer: −14−7

Step-by-step explanation:

(-8x + 2) - (6x +9)​

-8x + 2 - 6x - 9

-14x - 7

Answer:

-14x - 7

Step-by-step explanation:

(-8x + 2) - (6x +9)​

-8x + 2 - 6x - 9

-14x - 7

Answer:

461.88 feet

We are given the opposite and adjacent of 30.

Tan (30) = opposite / adjacent

Tan (30) = x / 800

X = 800 x Tan(30)

X = 461.88

- Use a calculator to calculate "Tan(30)".

- The exact answer is 461.880215

The height of the building will be equal to 461.88 feet.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

We are given the opposite and adjacent of 30.

Tan (30) = opposite / adjacent

Tan (30) = x / 800

X = 800 x Tan(30)

X = 461.88

Therefore the height of the building will be equal to 461.88 feet.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ2

Answer:

P = 2/3 = 0.67

Step-by-step explanation:

Assuming that X1 + X2 = 7

The total number of outcomes such that X1 + X2 = 7 are:

X1 = 3, X2 = 4

X1 = 4, X2 = 3

X1 = 1, X2 = 6

X1 = 6, X2 = 1

X1 = 2, X2 = 5

X1 = 5, X2 = 2

So there are 6 total outcomes such that X1 + X2 = 7

Now, the probability that X1 = 4 is equal to the quotient between the number of outcomes where X1 = 4 (only one outcome) and the total number of outcomes (6)

Then:

p = 1/6

And the probability that X2 = 4 is calculated in the same way, then the probability is:

q = 1/6

Now, the probability that X1 = 4 or X2 = 4 is the sum of both probabilities we've found above, then:

P = p + q = 1/6 + 1/6 = 2/6 = 2/3 = 0.67

Answer:

A. 45°

Step-by-step explanation:

The sum of all the angles in a quadrilateral must be 360. This means that you need to subtract 135, 90, and 90 from 360 to get the unknown angle.

360 - 90 - 90 - 135 = 45°

Yes

Both of them reduced is 0.2857

Answer:

3.5325

Step-by-step explanation:

V = 3.14*(.75^2)(2)

You divide the diameter by 2 to get the radius which is 1.5/2 =.75

r=.75

h=2

and you use the equation for volume of cylinder which is V = pi x radius squared x height

Answer:

1.82

Step-by-step explanation:

If you add all the ounces together and divide by 25, you get 1.82. Hope this helps :D

Answer:

1.82

Step-by-step explanation: