1) Work out what 1/5 of 12 is
To do this, we divide 12 by 5
12/5 = 2.4
2) Multiply 2.4 by 15
2.4 x 15 = 36
<em>If you don't like decimals, you can also do it this way...
</em>
This can be rewritten as 15 x 1/5 x 12
Multiplications alone can be performed in any order
1) Work out what 1/5 of 15 is
1/5 of 15
15/5 = 3
2) 3 multiplied by 12
3 x 12 = 36
Answer:
r = 51.96 inches
Step-by-step explanation:
Answer:
m<Q = 133°
Step-by-step explanation:
From the question given above, the following data were obtained:
m<P = (x + 13)°
m<Q = (10x + 13)°
m<R = (2x – 2)°
m<Q =?
Next, we shall determine the value of x. This can be obtained as follow:
m<P + m<Q + m<R = 180 (sum of angles in a triangle)
(x + 13)° + (10x + 13)° + (2x – 2)° = 180
x + 13 + 10x + 13 + 2x – 2 = 180
x + 10x + 2x + 13 + 13 – 2 = 180
13x + 24 = 180
Collect like terms
13x = 180 – 24
13x = 156
Divide both side by 13
x = 156 / 13
x = 12
Finally, we shall determine m<Q. This can be obtained as follow:
m<Q = (10x + 13)°
x = 12
m<Q = 10(12) + 13
m<Q = 120 + 13
m<Q = 133°
We have to find the domain of y = cotx
We know that cotx = cos
x / sinx
And also when sinx becomes zero cotx becomes undefined
And again we know that value of cosx and sinx can be between -1 to 1
But value of cotx can lie in between -∞ to +∞
Just for example cot30 is cos30 / sin30
= √3/2/1/2 = √3
Therefore domain of cotx is x
x ∈ R , x ≠ πn for any integer n
Answer:
Step-by-step explanation:
<u>Arithmetic Sequences
</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
The sum of the n terms of an arithmetic sequence is given by:
We are given the first two terms of the sequence:
a1=5, a2=8. The common difference is:
r = 8 - 5 = 3
Thus the general term of the sequence is:
The formula for the sum is:
Operating:
