you are slicing pie for your family. Your grandmother asks for 1/3 of the pie. Your brother asks for 1/4 of the same pie. Your aunt asks for 1/2 of the remainder of the pie. How much pie is left?

9514 1404 393

Answer:

  31°

Step-by-step explanation:

One way to find the difference angle is to look at the angle of the quotient. We can use complex numbers to represent the vectors for the purpose of that math. The magnitude is not important in this problem, so we do not have to finish the division.

  (8 -2i)/(5 -5i) = (8 -2i)(5 +5i)/((5 -5i)(5 +5i)) = (40 -10i +40i +10)/( )

The numerator is 50 +30i, which has an angle of ...

  arctan(30/50) ≈ 30.96° ≈ 31°

_____

Additional comment

Effectively, we have found the angle as the angle of the product of one vector with the conjugate of the other, when written as complex numbers. In vector terms, you might use the definition of the dot product. That seems to take a lot more math.

  u·v = |u|×|v|×cos(θ)

  θ = arccos(u·v/(|u|×|v|))

  θ = arccos((8·5 +(-2)(-5))/√((8² +(-2)²)(5² +(-5)²))) = arccos(50/√3400)

Answer:

Step-by-step explanation:

After creating an equilateral triangle using 3 toothpicks, I require 3 more toothpicks to create more 3 equilateral triangles ie.4 triangles it toto.

First place 3 toothpicks end to end on a Horizontal plane to create an equilateral triangle.

THEN erect 3 toothpicks on each corner of the triangles making other ends joined up together in space above the Horizontal plane so as to create another same THREE equilateral triangles. (I am unable to provide a pictorial presentation due to inadequacy of signs & symbols on the keyboard. )

I suppose, you must have visualised the superstructure.

Thanks.

Answer:

Percentage Calculator: 100. is what percent of 500.? = 20.

Step-by-step explanation:

On moving a distance of 20m towards the foot of the cliff the angle of

elevation increases to 60° .

The situation forms 2 right angle triangle.

The height of the cliff is the opposite side of the 2 triangles formed.

Using trigonometric ratio, the bigger triangle  can be represented as

follows:

tan 30 = opposite / adjacent

Let the distance from point Q to the foot of the cliff be d.

Therefore,

tan 30° = 17.3 / d

d = 17.3 / tan 30

d = 17.3 / 0.57735026919

d = 29.9644789709

d ≈ 30 m

Let's find the new angle when he moves 20 m towards the foot of the cliff.

The smaller triangle formed is used to find the new angle.

Therefore,

The new distance  from the foot of the cliff (adjacent side) = 30 - 20  = 10 m

tan x° = 17.3 / 10

tan x° = 1.73

x = tan ⁻¹ 1.73

x = 59.9705982385

x  ≈ 60°

learn more: https://brainly.com/question/23910946?referrer=searchResults

Answer:

(x, y)

(-1, -4)

Step-by-step explanation:

[tex]-20x=-16-9y\\-14x=-22-9y[/tex]

Solve by elimination, subtract the 2nd row from the 1st row:

[tex](-20x-(-14x))=(-16-(-22))+(-9y-(-9y))\\(-20x+14x)=(-16+22)+(-9y+9y)\\-6x=6[/tex]

Solve for x in the equation above

[tex]-6x=6\\x=-1[/tex]

Now we have the value of X, substitute it into any of the 2 original equations:

[tex]-20x=-16-9y\\-20(-1)=-16-9y[/tex]

Solve for y:

[tex]-20(-1)=-16-9y\\20=-16-9y\\36=-9y\\-4=y\\y=-4[/tex]

Please mark brainliest if this answer helps you. I can provide more information if needed.

Answer:

y = -2x +4

Step by step explanation:

y = -2x +4

Hello, hope you are having a splendid day.

First, we should calculate the slope of the line (Rise/Run)

The rise is how many units we move up or down; the run is how many units we move left or right.

Here, we move down 2 and over 1, so the slope is -2

Now, the y-intercept is where the graph touches the y-axis.

Here, the y-intercept is 4.

Our equation looks lke so:

y=-2x+4

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others on Brainly :)

[tex]MagicalNature[/tex]

Good luck.

Answer:

x = 17/5

Step-by-step explanation:

17+2+6x = x-15 +5x

19+6x =16x -15

19+15 = 16x-6x

34 = 10x

34/10= 10x/10

17/5 = x

x = 17/5 or 3 2/3

Answer:

ayúdame a encontrarla soy de Perú por favor ayuda

Answer:

1/2

Step-by-step explanation:

b is directly proportional to h.

b = kh

take any (h, b) point

using (28, 14)

14 = k(28)

Divide both sides by 28

1/2 = k

1/2

Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.

The height of the punt, after x seconds, is given by:

[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]

It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].

The maximum value is the value of the function at the vertex, hence:

[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Applying the coefficients:

[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]

The maximum height of the punt is of 27.7 feet.

A similar problem is given at https://brainly.com/question/16858635

Answer:

Hmm I would say maybe yes

Step-by-step explanation:

Answer:

the answer is 33 9/11

Step-by-step explanation:

multiply the fractions

.

.

Answer:

33 9/11

Step-by-step explanation:

22 6/11 x 1 1/2

Convert into improper fractions.

248/11 x 3/2

Reduce the numbers with the greatest common factor 2.

124/11 x 3

Calculate

372/11

=33 9/11

Hope this helps :)

Answer:

[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{99999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]

Answer:250

Step-by-step explanation:

a square had 4 sides, the perimeter is 1,000. 1,000/4+250 :)

Answer:

Volume is the amount of space taken up by an object

Answer:

l = P -2w

________ D is the correct choice

2

Answer:

RS = XY

Step-by-step explanation:

Corresponding sides will be equal. So

RS = XY

x = 49° [ Alternate angles are equal]

4x = 4 × 49 = 196°

- BRAINLIEST answerer

Answer:

C

Step-by-step explanation:

known by checking all the answers for chooses

Answer:

864 inches

12*3=36

36*24=864

Step-by-step explanation:

Hope this helps:)

Answer:

12*3=36

36*24=864

Step-by-step explanation:

Answer:

c=60

d=45

Step-by-step explanation:

3c=180

c=60

4d=180

d=45

Linear equations can represent parallel lines, perpendicular lines and lines with no relationship at all.

The equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]

The equation is given as:

[tex]\mathbf{y =-\frac x2 - 6}[/tex]

For a linear equation y = mx + b, the slope of the equation is m

So, by comparison:

[tex]\mathbf{m =-\frac 12}[/tex]

The relationship between the slopes of perpendicular lines is:

[tex]\mathbf{m_2 =-\frac 1{m_1}}[/tex]

So, we have:

[tex]\mathbf{m_2 =-\frac 1{-1/2}}[/tex]

[tex]\mathbf{m_2 =2 }[/tex]

This means that, the slope of the line that passes through point (-8,1) is 2

The line equation is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = 2(x + 8) + 1}[/tex]

Open brackets

[tex]\mathbf{y = 2x + 16 + 1}[/tex]

Simplify

[tex]\mathbf{y = 2x + 17}[/tex]

Hence, the equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

REFER THE PICTURE FOR YOUR ANSWER !!

Whats 1/2 + 8/11

___________________

= 1/2 + 8/11

= (1 × 11)/(2 × 11) + (8 × 2)/(11 × 2)

= 11/22 + (8 × 2)/(11 × 2)

= 11/22 + 16/22

= (11 + 16)/22

= 27/22

= 1 5/22 ☑️

Answer:

4. We don't know if they're right triangles

Step-by-step explanation:

If you could assume that the triangles are right triangles, then you would be able to prove congruency with HL. In this case however, the angles are not given so you can't assume anything.

[tex] \rm \frac{x}{5} + 2 \leqslant 6[/tex]

[tex] \rm x + 2 \leqslant 6 \times 5[/tex]

[tex] \rm x + 2 \leqslant 30[/tex]

[tex] \rm x \leqslant 30 - 2[/tex]

[tex] \rm x \leqslant 28[/tex]

[tex]\dfrac x5 +2 \leq 6 \\\\\\\implies \dfrac x5 \leq 4 \\\\\\\implies x \leq 20 \\\\\text{Interval,} ~ (-\infty, 20][/tex]

Answer:

3%

Step-by-step explanation:

[tex] \frac{0.03}{1} \times 100[/tex]

0.03=3/100 So

[tex] \frac{3}{100} \div 1 \times 100[/tex]

=3%

Answer:

It can't get more simple than that (*nose growing*)

Step-by-step explanation:

50% of 35 means 35 is 100% right? 50 is half of 100. So 50% of 35 will be half of 35, agree? So you multiply by crossing

35 = 100%

x = 50%

100 * x = 35 * 50 (do this math, you can multiply 35 by 5 then add 0)

100x = 1750

x = 1750 / 100

x = 17,5

Is 17,5 half of 35? You could have also done 35 / 2. It would be the same result because 50% is an easy percentage to work with.