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zavuch27 [327]
3 years ago
13

What is 2/3+4/5 simplified ?

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
6 0

Answer:

\frac{2}{3}  +  \frac{4}{5}

=  \frac{10 + 12}{15}

=  \frac{22}{15}

= 1 \frac{7}{15}

vichka [17]3 years ago
6 0

Answer:

1 3/20 or in decimal form is 1.15

Step-by-step explanation:

Make the denominators the same as the LCD.

Simplify. Denominators are now the same

Join the denominators.

Simplify.

Convert to mixed fraction.

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URGENT PLEASE !!!! Please answer correctly !!Will mark Brianliest !!!!!!!!!!
nirvana33 [79]

Answer:

Step-by-step explanation:

Square Root of 85

4 0
3 years ago
What is the net profit of a restaurant with total revenue of 57,000, a cost goods sold at 15,000 and operating expenses of 36,00
kakasveta [241]

Answer:6,000

Step-by-step explanation:

Gross profit = Revenue - cost of goods sold = 57,000 - 15,000 = 42,000

Net profit = Gross profit - expenses = 42,000 - 36,000 = 6,000

8 0
3 years ago
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
3 years ago
Find the specified vector or scalar. . u = -4i + 1j and v = 4i + 1j; Find |u+v|. a. square root of 34. b. 5. c. 2
ExtremeBDS [4]
U = - 4 i + 1 j
v = 4 i + 1 j
| u | = √ (-4)² + 1² = √ 17
| v | = √4² + 1² = √ 17
| u + v | = √(u + v)²=
= √( u² + 2 u v + v² )= ...
cos ( u, v ) = (-16+1) / (|u| |v|) = -15/17
...= √(17 + 2 · √17 · √17 · ( -15/17) +17)  =
= √ 34 - 30 = √ 4 = 2
Answer: C ) 2 

3 0
3 years ago
What is the similarity ratio of a cube with volume 250 m3 to a cube with volume 1024 m3?
bonufazy [111]
If similarity ratio means the ratio between the lengths of the cubes:

\frac{ L_1^{3} }{ L_2^{3} } =  \frac{V_1}{V_2}  \\  \\ ratio =  \frac{L_1}{L_2} =   \frac{\sqrt[3]{V_1} }{\sqrt[3]{V_2} }
5 0
3 years ago
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