Answer:
s = 
Step-by-step explanation:
s = ut + 
at² ( substitute the given values into the equation )
s = ( 3 × ) + ( × - 12 × ( )² )
= 1 + (- 6 × 
)
= 1 + ( - 
)
= 1 -
=
Answer:
121 degrees
Step-by-step explanation:
The "arc length" formula is s = rФ, where Ф represents the central angle in radians (not degrees).
Here r = 18 ft and s = 38 ft, and so:
38 ft
s = rФ becomes Ф = ------------ = 2.111 radians
18 ft
which, in degrees, is:
2.111 rad 180 deg
------------- * --------------- = 121 degrees, to the nearest degree
1 3.142
1. incorrect
odd number multiplied by odd number is still an odd number, 3 being an odd number when multiplied by 3 is 9 which is an odd number
2.incorrect
this states that if 6 is less than 7, which is true, then 4 is greater than 7, which is incorrect. The 2 statements are not related
3.correct
6 is divisible by 3, 6/3 = 2, this means that 6 can be divided by 3 without giving a remainder.
10 is a multiple of 2. multiples of 2 in other words are numbers that are divisible by 2. Since 2*5 = 10, its a multiple of 2.
4.Incorrect.
Average of data is the sum of the data values divided by the number of values there are, so the average value cannot be greater than the largest data value.
Also second statement too is wrong, there are some instances when the data values all may be equal e.g.: 45,45,45, then the average of these data are also 45, hence the average cannot always be lesser than the largest data value. Average should be equal to or less than the largest data value.
5. Incorrect
the slope is the rate of change m(gradient) = change in y/change in x. however the y intercept is not the initial value. Intercept is merely the point at which the graph cuts the y axis, not its initial value.
6.incorrect
sum of the interior angles of a triangle is 180°. since there are 3 equal angles, 180°/3 = 60°. therefore each angle is 60°.
Answer:
1/6, 1/4.
Step-by-step explanation:
The theoretical probability of rolling a 2 on a single roll of a number cube is 1/6, because there are 6 numbers ( 1 to 6) on a cube.
The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is 1/4, because there are 4 different colours on the spinner.
Answer:
3x-4
Step-by-step explanation:
Inside of the parenthesis, it cannot be further simplified, so we moe to distributing.
=-6x+9x-4
Combine like terms
=3x-4
cannot be further simplified on its own
