In a
group of 100 youths, the ratio of youths who like Android tablet and Ipad is 3:5. 1620 of them like
the tems and 40 of them like non of the items then by drawing a Venn diagram, find how many
dem like Android tablet only​

Answer:

a) 323 kph with a directional bearing of S 22° E

Step-by-step explanation:

to find the ground speed:

just do the pythagorean theorem.

c²=300²+120²

c²=104400

c=323

to find the directional bearing:

use the law of sines!

sin(90)/323 = sin(θ)/120

(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)

cross multiply:

120sin90=323sin(θ)

divide 323 on both sides:

sin(θ)=0.3715

use inverse sin to find out degree measure:

sin⁻¹(0.3715)=21.8

rounds up to 22.

The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.

To find the ground speed of the plane, we need to know what a vector is

What is a vector?

A vector is a variable that has both magnitude and direction.

Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.

Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i

Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.

A resultant vector is the sum of two or more vectors.

So, V' = v + V

V' = (-120 kph)i + (-300 kph)j

So, its magnitude V' = √(x² + y²) where

x = -120 kph and

y = -300 kph.

So, V' = √[(-120 kph)² + (-300 kph)²]

= √[14400 kph² + 90000 kph²]

= √(104400 kph²)

= 323.11 kph

≅ 323 kph

The direction of the plane

Its direction, Ф = tan⁻¹(y/x)

Ф = tan⁻¹(-300 kph/-120 kph)

Ф = tan⁻¹(2.5)

Ф = 68.2°

From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°

So, the directional bearing of the plane is S22°E.

So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.

Learn more about the ground speed of a plane and direction here:

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Answer

Step-by-step explanation:

rise over run so it'd be 3/3 positive or y= 3x-3

Answer:

Step-by-step explanation:

9(x+1)=25+x

9x+9=25+x  subtract x both sides

8x+9=25    subtract 9 both sides

8x=16  divide by 8

x=2

Answer:

300+ 50 + 2

Step-by-step explanation:

If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)

Explanation:

The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.

So that's why 352 = 300 + 50 + 2

Answer:

????

Step-by-step explanation:

Answer:

where's the shape

Step-by-step explanation:

what's the length and width, maybe I can help

Answer:

B, C

Step-by-step explanation:

I love slope

Answer: 10

Step-by-step explanation:

25 ÷ 2.5 = 10

10 gigabytes

Answer:

8

Step-by-step explanation:

128/6=8

Answer:

8.

divide 128 by 16 and its ^

Answer:

36

Step-by-step explanation:

40 * .10 = 4

40-4 = 36

Answer:k=5b/4 - 3/4

Step-by-step explanation:

Answer:

[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]

Step-by-step explanation:

-3k + 7k = 5b - 3

4k = 5b - 3

[tex]k=\frac{5}{4}b - \frac{3}{4}[/tex]

Answer:

= -32a+64b

Step-by-step explanation:

thats the answer

Answer:

53

Step-by-step explanation:

5 choices × 5 choices × 5 choices = 53 possible 3 digit codes including repeats

 [tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.

Given that digits are [tex]=\boldsymbol{\{1,2,3,4,5 \}}[/tex].

Number of digits [tex]=\boldsymbol{5}[/tex]

With repetition" means that repetition is allowed. Thus, in each of the three places, we have five choices.

Therefore,

Number of unique three digit codes can be created from the five digits [tex]=5\times 5\times 5[/tex]

[tex]=\boldsymbol{125}[/tex]

So, [tex]\boldsymbol{125}[/tex] unique [tex]3[/tex] digit codes can be created from the [tex]5[/tex] digits.

Find out more information about permutations here:

https://brainly.com/question/26852614?referrer=searchResults

Answer:

B

a proportional relationship in a graph needs to go through the 0.0, and also needs to be a stright line.

Answer:

204 is the answer

Step-by-step explanation:

204 is the answer

Paki heart nalang po kung nakatulong

Answer:

its the 3rd

Step-by-step explanation:

Answer:

Step-by-step explanation:

an hour, or 60 minutes

Answer:

60 minutes

Step-by-step explanation:

i d 1 0 t

Answer:

what does lmno means

Step-by-step explanation:

Answer:

14. [tex]y = -2x -1[/tex]

15. [tex]y = -\frac{3}{4}x +3[/tex]

16. [tex]y= 4x + 9[/tex]

17. [tex]y = -\frac{5}{3}x -2[/tex]

18. [tex]y= -\frac{2}{3}x -5[/tex]

19. [tex]y = 4x -3[/tex]

20. [tex]y = -3x -7[/tex]

Step-by-step explanation:

Solving (14):

Given

[tex](x_1,y_1) = (-7,13)[/tex]

[tex]Slope (m) = -2[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 13 = -2(x -(-7))[/tex]

[tex]y - 13 = -2(x +7)[/tex]

[tex]y - 13 = -2x -14[/tex]

Collect Like Terms

[tex]y = -2x -14 + 13[/tex]

[tex]y = -2x -1[/tex]

Solving (15):

Given

[tex](x_1,y_1) = (-4,6)[/tex]

[tex]Slope (m) = -\frac{3}{4}[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 6 = -\frac{3}{4}(x - (-4))[/tex]

[tex]y - 6 = -\frac{3}{4}(x +4)[/tex]

[tex]y - 6 = -\frac{3}{4}x -3[/tex]

Collect Like Terms

[tex]y = -\frac{3}{4}x -3 + 6[/tex]

[tex]y = -\frac{3}{4}x +3[/tex]

Solving (16):

Given

[tex](x_1,y_1) = (-5,-11)[/tex]

[tex](x_2,y_2) = (-2,1)[/tex]

First, we need to calculate the [tex]slope\ (m)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{1 - (-11)}{-2 - (-5)}[/tex]

[tex]m = \frac{1 +11}{-2 +5}[/tex]

[tex]m = \frac{12}{3}[/tex]

[tex]m = 4[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - (-11) = 4(x -(-5))[/tex]

[tex]y +11 = 4(x+5)[/tex]

[tex]y +11 = 4x+20[/tex]

Collect Like Terms

[tex]y= 4x + 20 - 11[/tex]

[tex]y= 4x + 9[/tex]

Solving (17):

Given

[tex](x_1,y_1) = (-6,8)[/tex]

[tex](x_2,y_2) = (3,-7)[/tex]

First, we need to calculate the [tex]slope\ (m)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-7 - 8}{3- (-6)}[/tex]

[tex]m = \frac{-7 - 8}{3+6}[/tex]

[tex]m = \frac{-15}{9}[/tex]

[tex]m = -\frac{5}{3}[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 8 = -\frac{5}{3}(x -(-6))[/tex]

[tex]y - 8 = -\frac{5}{3}(x +6)[/tex]

[tex]y - 8 = -\frac{5}{3}x -10[/tex]

Collect Like Terms

[tex]y = -\frac{5}{3}x -10 + 8[/tex]

[tex]y = -\frac{5}{3}x -2[/tex]

18.

Given

[tex](x_1,y_1) = (-6,-1)[/tex]

[tex]y = -\frac{2}{3}x+1[/tex]

Since the given point is parallel to the line equation, then the slope of the point is calculated as:

[tex]m_1 = m_2[/tex]

Where [tex]m_2[/tex] represents the slope

Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison

[tex]m = -\frac{2}{3}[/tex]

and

[tex]m_1 = m_2 = -\frac{2}{3}[/tex]

Equation in [tex]slope\ intercept\ form[/tex] is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - (-1) = -\frac{2}{3}(x - (-6))[/tex]

[tex]y +1 = -\frac{2}{3}(x +6)[/tex]

[tex]y +1 = -\frac{2}{3}x -4[/tex]

[tex]y= -\frac{2}{3}x -4 - 1[/tex]

[tex]y= -\frac{2}{3}x -5[/tex]

19.

Given

[tex](x_1,y_1) = (-2,-11)[/tex]

[tex]y = -\frac{1}{4}x+2[/tex]

Since the given point is parallel to the line equation, then the slope of the point is calculated as:

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

Where [tex]m_2[/tex] represents the slope

Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison

[tex]m_2 = -\frac{1}{4}[/tex]

and

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

[tex]m_1 = -1/\frac{-1}{4}[/tex]

[tex]m_1 = -1*\frac{-4}{1}[/tex]

[tex]m_1 = 4[/tex]

Equation in [tex]slope\ intercept\ form[/tex] is:

[tex]y - y_1 = m(x-x_1)[/tex]

[tex](x_1,y_1) = (-2,-11)[/tex]

Substitute values for y1, m and x1

[tex]y - (-11) = 4(x - (-2))[/tex]

[tex]y +11 = 4(x +2)[/tex]

[tex]y +11 = 4x +8[/tex]

Collect Like Terms

[tex]y = 4x + 8 - 11[/tex]

[tex]y = 4x -3[/tex]

20.

Given

[tex](x_1,y_1) = (-10,3)[/tex]

[tex](x_2,y_2) = (2,7)[/tex]

First, we need to calculate the slope of the given points

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{7 - 3}{2 - (-10)}[/tex]

[tex]m = \frac{7 - 3}{2 +10}[/tex]

[tex]m = \frac{4}{12}[/tex]

[tex]m = \frac{1}{3}[/tex]

Next, we determine the slope of the perpendicular bisector using:

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

[tex]m_1 = -1/\frac{1}{3}[/tex]

[tex]m_1 = -3[/tex]

Next, is to determine the coordinates of the bisector.

To bisect means to divide into equal parts.

So the coordinates of the bisector is the midpoint of the given points;

[tex]Midpoint = [\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2)][/tex]

[tex]Midpoint = [\frac{1}{2}(-10+2),\frac{1}{2}(3+7)][/tex]

[tex]Midpoint = [\frac{1}{2}(-8),\frac{1}{2}(10)][/tex]

[tex]Midpoint = (-4,5)[/tex]

So, the coordinates of the midpoint is:

[tex](x_1,y_1) = (-4,5)[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1: [tex]m_1 = -3[/tex] & [tex](x_1,y_1) = (-4,5)[/tex]

[tex]y - 5 = -3(x - (-4))[/tex]

[tex]y - 5 = -3(x +4)[/tex]

[tex]y - 5 = -3x-12[/tex]

Collect Like Terms

[tex]y = -3x - 12 +5[/tex]

[tex]y = -3x -7[/tex]

Answer:

[tex]y=6x+43[/tex]

Step-by-step explanation:

We want the equation of a line that is parallel to [tex]y=6x+1[/tex] which also passes through (-7, 1).

Since the new line is parallel, it must have the same slope as the original line.

The slope of the original line is 6.

Hence, the slope of our new line must also be 6.

We know that the slope is 6.

And it passes through the point (-7, 1).

So, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

Substitute:

[tex]y-1=6(x-(-7))[/tex]

Simplify:

[tex]y-1=6(x+7)[/tex]

Distribute:

[tex]y-1=6x+42[/tex]

Add 1 to both sides. Hence, our equation is:

[tex]y=6x+43[/tex]

59.9%

Sorry I don’t have time to explain in the middle of an exam

The rate of growth needs to be 59.9%.

The formula used to determine the future value of an investment when interest is compounded continuously is:

FV =  A x [tex]e^{r}[/tex] x N

$320,000 = $16,000 x [tex]e^{r}[/tex] x 5

Divide both sides by $16,000

20 = 5[tex]e^{r}[/tex]

Take the In of both sides

In(20) = 5r

Divide both sides by 5

r = 59.9%

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The y-intercept of the graph is -3

The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.

Using slope intercept formula,

y = mx + b

where

Now, let's trace the value of y when x = 0 in the graph.

Therefore,

when x = 0, y = -3

Hence, the y-intercept of the graph is -3

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Answer:

The answer is true.

Step-by-step explanation:

Understand What?

◑︿◐::>_<::

Answer:

It will be $85,  34÷ 4

will give you 8.5 then you multiply it by 10,× 10=85

Answer:

272

Step-by-step explanation:

56:7=8 (she earns 8$ in 1 hour)

8×34=272

Answer:

5

Step-by-step explanation:

there is not enough info to because we do not have the detentions are the difference of triangle A or B

Answer:

x = 24, if thats wat ur asking.

Answer:

x = 28

Step-by-step explanation:

its division come on