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marshall27 [118]
3 years ago
11

Simplify using suitable properties 2/5 × 7/6 + 7/6 × 7/2​

Mathematics
1 answer:
natta225 [31]3 years ago
3 0

Answer:

4 11/20

Step-by-step explanation:

Using bidMAs Multiplication comes first before addition

2/5 * 7/6 = 14/30

7/6 * 7/2 = 49/12

Make denominators equal

14/30 * 2 = 28/60

49/12 * 5 = 245/60

Then add

28/60 + 245/60 = 273/60

Finally convert improper into mixed fraction

4 11/20

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guapka [62]

Given :

A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj  .

To Find :

A. The vector position of the particle at any time t .

B. The acceleration of the particle at any time t .

Solution :

A )

Position of vector v is given by :

d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j

B )

Acceleration a is given by :

a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j

Hence , this is the required solution .

5 0
3 years ago
Please look at the picture and answer it thank you.
ElenaW [278]

Answer:

x = 17

Step-by-step explanation:

The sum of all angle measures in any triangle is 180 degrees.

  • Thus, 23 + 5x - 18 + 90 = 180.

Step 1: Simplify both sides of the equation.

  • (5x)+(23+90-18)=180
  • 5x+95=180

Step 2: Subtract 95 from both sides.

  • 5x+95-95=180-95
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Step 3: Divide both sides by 5.

  • 5x/5=85/5
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Step 4: Check if solution is correct.

  • (5*17-18)+23+90=180
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  • 180=180

Thus, x = 17.

6 0
2 years ago
A house was valued at $292,000 . Over several years, the value increased by 8%, giving the house a new value.
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Answer:

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arlik [135]

Answer:

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3 years ago
Greg is designing a clock face. Using the center of the clock face as the origin, he keeps its diameter at 10 units. Match the p
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The center of the clock is taken as the origin.The clock is a circle with a diameter 10 units.Radius is half the diameter .Radius = 10 ÷2= 5 units.

The clock is divided in four quadrants .On x axis y=0 and on y axis x=0.

When it is  12 o'clock the hour hand is on positive of y axis.Coordinates of the point at 12 o'clock=(0,5)

When it is 3 o 'clock the hour hand is on positive of x axis .Coordinate of the point at 3o'clock is (5,0)

When it is 6 o'clock the hour hand is on negative of y axis .The coordinates of the point at 6o'clock is (0,-5)

At 9o'clock the hour hand is on negative of x axis .The coordinate of the point at 6o'clock is(-5,0)

3 0
3 years ago
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