Using the smart method, set yourself an academic short term goal for 2021

the formula to determine the magnitude of a vector (in two dimensional space) v = (x, y) is: |v| =√(x2 + y2). This formula is derived from the Pythagorean theorem.

the formula to determine the magnitude of a vector (in three dimensional space) V = (x, y, z) is: |V| = √(x2 + y2 + z2)

3 equal angles

so the triangle is equilateral => 3 equal sides

4x-10 = 3x+2

x = 12

or

4x-10 = 5x-22

-x = -12

x = 12

or

5x - 22 = 3x + 2

2x = 24

x = 12

x = 12

Answer:

The value of x = 12

Step-by-step explanation:

This is an equilateral triangle and the sides of an equilateral triangle are equal .

By putting the two sides of the triangle equal , we can find out the value of x

=> 4x - 10 = 3x +2

=> 4x - 3x = 2 + 10

=> x = 12

Answer:

hello

3/5 : 6

= 3/5 x 1 /6

= 3 /30

= 1 /10

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

3/5 / 6

3/5 x 1/6

3/30

1/10

Answer:

the value of x is 40 cause it is equal to sum of two interior angles

Answer:x=40

Step-by-step explanation:

Answer:

(-5,1)

Step-by-step explanation:

y= 13.5+2.5x

-13.5 -13.5

-13.5= 2.5x

x= -5.4

Answer: a is yes and because 2.50 goes into 5.  5x 2.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

i don't konw help him

Answer:

x=6

Step-by-step explanation:

6(2x -11) 15 =21

6 × 2x = 12x

6 × -11 = -66

12x -66 + 15 = 21

-66 + 15 = -51

12x -51 = 21

-51 + 51 = 0

21 + 51 = 72

12x = 72

12x ÷ 2 = 0

72 ÷ 12 = 6

x = 6

Answer:

2.5

Step-by-step explanation:

5 by 2: 2.5

Answer:

Follows are the description of the given point:

Step-by-step explanation:

Please find the correct question in the attached file.

In point A:

An order of 5 items shall be placed in a total of 6 different ways.  

(w for cars and ts and tricycles to be used)

[tex]\to 5w=20 wheels\\\\\to 4w+1t= 19 wheels\\\\\to 3w+2t=18 wheels\\\\\to 2w+3t=17 wheels\\\\\to 1w+4t= 16 wheels\\\\\to 5t=15 wheels\\\\[/tex]

In point B:

2 waggons so more tyres would be required if they ordered any more waggons.  

[tex]work: \\\\ \to 2 \times 4=8 \\\\ \to 3 \times 3=9 \\ \\ \to 8+9=17[/tex]

Answer:

  x = 4

Step-by-step explanation:

Corresponding sides of similar triangles are proportional. This fact lets us write an equation that can be solved for x.

  AB/AC = DE/DC

  (6x -2)/5.5 = (2x +8)/4 . . . . . . substitute the given values

  4(6x -2) = 5.5(2x +8) . . . . . . multiply by 4×5.5

  24x -8 = 11x +44 . . . . . . . . eliminate parentheses

  13x = 52 . . . . . . . . . . . . . add 8 -11x

  x = 4 . . . . . . . . . . . divide by the coefficient of x

Answer:

6

Step-by-step explanation:

2x4=8

32-8=24

24/4=6

=6

Answer: y=1.25x

Step-by-step explanation:

i got it right

Answer: y=1.25x, which equation represents the situtation.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, given that,

The price of broccoli is $1.25 per pound.

Let, y be the total cost in dollars of buying x pound of broccoli.

Hence, equation represents the situtation is y=1.25x.

To learn more on equation click:

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Answer:

r= -4

Step-by-step explanation:

-208/-8=26

26+2=28

28/-7=-4

Answer:

x = 1

Step-by-step explanation:

the important thing to know here is that if you do something to both sides of an equation (eg, add 2) the equation will still be equal.

- 9x - 17 = - 26

add 17 to both sides of the equation

-9x - 17 + 17 = -26 + 17

-9x = -9

divide both sides of the equation by -9

-9x/-9 = -9/-9

x = 1

Answer:

23÷32= .71

Step-by-step explanation:

Probability = no of events.

no of possible outcome

Answer:

x = -2i, 2i

Step-by-step explanation:

x² + 4 = 0

    -4     -4

x² = -4

x = 2i, -2i

I hope this helps!

Answer:

y = (3/2)x+1

Step-by-step explanation:

Slope intercept form is y=mx+b where m represents the slope and b represents the y-intercept. As we can see on this graph, the line intersects the y axis at (0,1). Therefore, the y-intercept is 1. Now, we can choose another point to find the slope. I'll choose (2,4). To reach (2,4) from the y-intercept, we have to go up 3 units and right 2 units. Therefore, the slope is 3/2.

Our equation of the line is: y = (3/2)x+1

Write the equation that describes that function.

Answer:

y = (3/2)x+1

Answer:

=> x = 2.4

Step-by-step explanation:

By using PGT

=> (5+x)² = 7²+x²

=> 5² +x² +2(5)(x) = 49+x²

=> 25 + x² + 10x = 49 +x²

=> 10x = 49-25

=> 10x = 24

=> x = 24/10

=> x = 2.4

Answer:

61

Step-by-step explanation:

488 / 8 = 61

Answer:

6

Step-by-step explanation:

i tried 7 and it didn't work

so i used a hint - it's 6!

6 pies are more in 60 to 89 cherries than 90 to 119 cherries, a bar graph is a graphical depiction of information, amounts, or numbers using bars or strips.

They are employed to contrast and compare various data kinds, frequencies, or other measurements of several categories of data.

here, we have,

The calculation of the bar graph in the given question.

For 60 - 89 cherries there are 10 pies

For 90 -119 cherries there are 4 pies

10 -4 = 6  pies

The image for the graph is attached below.

When displaying sections of data, bar charts should be used. As long as there aren't too many categories to compare, vertical bar charts can be useful for comparing several categories or discrete data, such as age groups, classes, schools, etc. They are quite helpful for time series data as well.

Therefore, there are 6 more pies in the 60 -89 cherries category than in the 90-119 category.

Learn more about bar graphs, here:

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Answer:

  (c)  Store A, $0.50 cheaper

Step-by-step explanation:

When a price is discounted by a rate d, the multiplier of the price is (1 -d).

The discounted price is $50 × (1 -0.05) = $50×0.95 = $47.50

__

The discounted price is $60 × (1 -0.20) = $60×0.80 = $48.00

__

The price at Store A is less by ...

  $48.00 -47.50 = $0.50

shop = 5 ÷ 100 × 50 = 2.5

shop = 20 - 60 × 100 = 12

shop = $50 - 2.5 = $ 47.5

Shop = $60 - 12 = $48

= $48 .00 - $ 47.50 = $0.50

The volume of vanilla cake is greater than the volume of chocolate cake, hence the vanilla cake gives you more to eat.

The formula for calculating the volume of the cake is expressed as:

Volume of vanilla cake = 8in * 11in * 13in

Volume of vanilla cake = 1144in³

For the chocolate cake

Volume of the chocolate cake = 9.1in x 12in x 2 in

Volume of the chocolate cake = 218.4in³

Since the volume of vanilla cake is greater than the volume of chocolate cake, hence the vanilla cake gives you more to eat.

Learn more on volume of box here: https://brainly.com/question/14957364

Answer:

Step-by-step explanation:

1. Calculate how many minutes it will take in total to reach work.

40 minutes to get ready

45 minutes to drive

40+45=85

85 minutes into hours =???

60 minutes = 1 hour

85-60=25

So, Jennifer will take 1 hour & 25 Minutes to go to work.

2. Calculate WHEN she will have to wake up to go to work.

10:10 is the time she HAS to be there.

so...

We know that it will take longer than 1 hour

so let's first remove 1 hour

that makes it, 9:10

now, let's remove 25 minutes

9:10, so 10 minutes gone

then 15 minutes remaining

60-15=45

so, Jennifer has to get movin' at 8:45am to reach her office at the right time.

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Thanks!

Always keep more than 2 smiles so that you can share them with someone! You happy, Me happy, EVERYONE HAPPY!!!!!

Have a great day!

:D

Answer:

C.  It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,280 pistachios

Step-by-step explanation:

Given

[tex]Pistachios = 4315[/tex]

[tex]Packages = 40[/tex]

Required

Determine if it's possible to divide into 40 packages

First, we need to divide the Pistachios by the number of packages.

[tex]Batches = 4315/40[/tex]

[tex]Batches = 107.875[/tex]

Because, we have a decimal; then it's impossible

However,

it'd be possible if

[tex]Pistachios = 4280[/tex]

because:

[tex]4280/40 = 107[/tex]

C.  It is not possible to split the pistachios into 40 packages. It would be possible if there were a total of 4,280 pistachios

Answer:

2-2i√3=4(1/2-√3/2i)=4e^j(5π/3)

4^4=256

e^4j(5π/3)=e^j(20π/3)=e^j(2π/3)

polar form: 256 cis (2π/3)

rectangular form: −128+128i√3

hope this helped, if you still need help lmk

Answer:

23

Step-by-step explanation:

20*2*1=40

20+2+1=23