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Gnom [1K]
3 years ago
6

?

Mathematics
1 answer:
ra1l [238]3 years ago
5 0

Answer:

average speed of sprinter will be 10.42m/s

Step-by-step explanation:

distance covered=s=100m

time taken=t=9.67m/s

average speed=10.42m/s

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Type 500 words in 20 minutes<br><br><br> _______ words per minute
7nadin3 [17]

Answer:

25

Step-by-step explanation:

Divide 500/20

3 0
4 years ago
Read 2 more answers
Solve sec2theta + tantheta - 3 =0 for 0
Serhud [2]

Answer:

Ф = \frac{\pi }{4} ,\frac{5\pi}{4}

Step-by-step explanation:

It is a bit difficult to input the work here, so I uploaded an image

  • First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
  • Then we can combine like terms
  • Then we can factor this as a polynomial function
  • Then we can set each term equal to zero and solve for Ф
  • The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
  • The second term tan(Ф) - 1 = 0 has two solutions of \frac{\pi}{4} and \frac{5\pi}{4} so these are the solutions to the problem

7 0
3 years ago
Tanya has a garden with a trench around it. The garden is a rectangle with length 2.5m and width 2m. The trench and the garden t
Drupady [299]

Answer:

5.5m^2

the area of just the trench is 5.5 m^2

Step-by-step explanation:

The Area of trench only is the total area(trench and garden) minus the Area of garden

Area of trench only = total area(trench and garden) - Area of garden

Area = length × breadth

Substituting the given dimensions;

Total area = 3.5 × 3 = 10.5 m^2

Area of garden = 2.5×2 = 5 m^2

Area of trench only = 10.5 m^2 - 5 m^2

Area of trench only = 5.5m^2

the area of just the trench is 5.5 m^2

8 0
4 years ago
Read 2 more answers
Which set of polar coordinates describes the same location as the rectangular coordinates (-3,3)
Readme [11.4K]
To convert from rectangular coordinates (x,y) to polar coordinates (r, θ), the following equations should be used:

r = sqrt( x^2 + y^2)
<span>θ = tan^-1 (y/x)
</span>
Substituting (-3,3) accordingly to the equations, we obtain r equal to 3*sqrt(2) and θ equal to -π/4. Thus, the polar coordinates equivalent to (-3,3) is (3*sqrt(2), -π/4).

6 0
4 years ago
Read 2 more answers
3/5 + 4/15 = in simply
maksim [4K]
You have to get a common denominator so

3 x 3 = 9
5 x 3 = 15

So now we have 9/15 + 4/15 which is 13/15.

The answer is 13/15
7 0
3 years ago
Read 2 more answers
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