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sdas [7]
3 years ago
13

HELP

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Answer:

328 and the last one is 260

Step-by-step explanation:

i just did the question :p

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Can y’all help me on question 40?!
miss Akunina [59]

Answer:

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Drag each tile to the correct box. Vector t, with a magnitude of 4 meters/second and a direction angle of 60°, represents a swim
astraxan [27]

Answer:

From top to bottom, the boxes shown are number 3, 5, 6, 2, 4, 1 when put in ascending order.

Step-by-step explanation:

It is convenient to let a calculator or spreadsheet tell you the magnitude of the sum. For a problem such as this, it is even more convenient to let the calculator give you all the answers at once.

The TI-84 image shows the calculation for a list of vectors being added to 4∠60°. The magnitudes of the sums (rounded to 2 decimal places—enough accuracy to put them in order) are ...

... ║4∠60° + 3∠120°║≈6.08

... ║4∠60° + 4.5∠135°║≈6.75

... ║4∠60° + 4∠45°║≈7.93

... ║4∠60° + 6∠210°║≈3.23

... ║4∠60° + 5∠330°║≈6.40

... ║4∠60° + 7∠240°║≈ 3

_____

In the calculator working, the variable D has the value π/180. It converts degrees to radians so the calculation will work properly. The abs( ) function gives the magnitude of a complex number.

On this calculator, it is convenient to treat vectors as complex numbers. Other calculators can deal with vectors directly

_____

<em>Doing it by hand</em>

Perhaps the most straigtforward way to add vectors is to convert them to a representation in rectangular coordinates. For some magnitude M and angle A, the rectangular coordinates are (M·cos(A), M·sin(A)). For this problem, you would convert each of the vectors in the boxes to rectangular coordinates, and add the rectangular coordinates of vector t.

For example, the first vector would be ...

3∠120° ⇒(3·cos(120°), 3·sin(120°)) ≈ (-1.500, 2.598)

Adding this to 4∠60° ⇒ (4·cos(60°), 4°sin(60°)) ≈ (2.000, 3.464) gives

... 3∠120° + 4∠60° ≈ (0.5, 6.062)

The magnitude of this is given by the Pythagorean theorem:

... M = √(0.5² +6.062²) ≈ 6.08

___

<em>Using the law of cosines</em>

The law of cosines can also be used to find the magnitude of the sum. When using this method, it is often helpful to draw a diagram to help you find the angle between the vectors.

When 3∠120° is added to the end of 4∠60°, the angle between them is 120°. Then the law of cosines tells you the magnitude of the sum is ...

... M² = 4² + 3² -2·4·3·cos(120°) = 25-24·cos(120°) = 37

... M = √37 ≈ 6.08 . . . . as in the other calculations.

4 0
2 years ago
PLEASE ANSWER ASAP, THIS IS A TEST QUESTION (NO SCAM ANSWERS PLS + I WILL MARK YOU BRAINLIEST)
vfiekz [6]

Answer:

the answer for this sub-question is 43/90. This is assuming your teacher wants you to write it in fraction form. If she or he wants you to write it in decimal form, then 43/90 = 0.4778 approximately which converts to 47.78%

Answer in fraction form: 43/90

Answer in decimal form: 0.4778 (round this however you are instructed to)

Answer in percent form: 47.78% (round this however you are instructed to)

Step-by-step explanation:

8 0
2 years ago
6) Find the measure of ∠G.
topjm [15]

Answer:

m<G = 71

Step-by-step explanation:

Find x first

7x + 1 + 6x - 6 + 55 = 180

Combine like terms:

13x + 50 = 180

      - 50    - 50

13x = 130

/13     /13

x = 10

Then apply to problem

7 (10) + 1

70 + 1

= 71

8 0
2 years ago
Read 2 more answers
What are the factors of 2x^2 + 5x -12?
Andrews [41]

Answer:

(2x - 3) • (x + 4)

Step-by-step explanation:

Step  1  :

Equation at  step  1  :

 (2x2 +  5x) -  12

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+5x-12  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  -12  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -12 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   5 .

-24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2  

     -4    +    6    =    2  

     -3    +    8    =    5

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  8  

                    2x2 - 3x + 8x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x-3)

             Add up the last 2 terms, pulling out common factors :

                   4 • (2x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (2x-3)

            Which is the desired factorization

3 0
3 years ago
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