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aniked [119]
4 years ago
8

Two less than nine times a number is -4. You have to write this in number form.

Mathematics
1 answer:
jeka944 years ago
5 0

Answer:

9x - 2 = -4

Step-by-step explanation:

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Simplify the expression <br><br> sin(pi+x) + sin(pi - x)
Nitella [24]
   
\sin(\pi+x) = -\sin(x) \\  \\ &#10;\sin(\pi-x) = \sin(x) \\  \\ &#10;\sin(\pi+x) + \sin(\pi-x) = -\sin(x) + \sin(x) = \boxed{0}



8 0
4 years ago
a circle has a radius of 7ft. Find the radian measure of the central angle 0 that intyercepts an arc of length 16ft
Iteru [2.4K]

Answer:

2.29 rads

Step-by-step explanation:

The  length of the arc of a circle of radius r is given by;

l = rθ            ---------------------------(i)

Where;

l = length of the arc

θ = central angle o that intercepts that arc and measured in radians.

From the question:

l = 16ft

r = 7ft

Substitute these values into equation (i) as follows;

16 = 7θ

Make θ subject of the formula

θ = \frac{16}{7}

θ = 2.29    

Therefore, the radian measure of the central angle is 2.29 rads

8 0
3 years ago
In a school of 685 students, there are 385 students involved in sports teams, and there are 450
Cerrena [4.2K]

Answer:  a) see image (below)

                b) S ∩ M = 237

                c) S U M = 598

<u>Step-by-step explanation:</u>

b) Total students = 685

   Not sports or music = 87

   Sports Total = 385

   Music Total = 450

Both Sports and Music is their intersection:

S ∩ M = S + M + N -  T

          = 385 + 450 + 87 - 685

          = 237

c) Sports only = S - (S ∩ M)

                       = 385 - 237

                       = 148

Music only = M - (S ∩ M)

                  = 450 - 237

                  = 213

Sports OR Music is their union:

S U M = S + M - (S ∩ M)

          = 385 + 450 - 237

          = 598

   

7 0
3 years ago
On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?
andreyandreev [35.5K]
The area of this trapezoid is 196.
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3 years ago
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An amusement park's owners are considering extending the weeks of the year that it is opened. The owners would like to survey 10
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The best way to randomly choose the 100 families would be to allow a random number generator to come up with 100 families within a 50 radius of the amusement park.

Using this method would ensure that it is more randomised & not limited to people who come at a specific time or are in a specific area as well as it not be affected by subconscious bias of people when selecting people to survey.
6 0
4 years ago
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