Answer:
1 (a) x = 12
1 (b) x = 4
2 (a) x = 24
2 (b) x = 20
3 (a) x = 4
3 (b) x = 17.5
Step-by-step explanation:
1 (a)
2x/3 = 8
2x = 8 × 3
2x = 24
x = 24 ÷ 2
x = 12
1 (b)
3x/2 = 6
3x = 6 × 2
3x = 12
x = 12 ÷ 3
x = 4
2 (a)
x/3 - 2 = 6
x/3 = 6 + 2
x/3 = 8
x = 8 × 3
x = 24
2 (b)
x/5 + 1 = 5
x/5 = 5 - 1
x/5 = 4
x = 4 × 5
x = 20
3 (a)
5x/2 + 1 = 11
5x/2 = 11 - 1
5x/2 = 10
5x = 10 × 2
5x = 20
x = 20 ÷ 5
x = 4
3 (b)
2x/7 - 3 = 2
2x/7 = 2 + 3
2x/7 = 5
2x = 5 × 7
2x = 35
x = 35 ÷ 2
x = 17.5
Mean is the average, mode is the number that is repeated most often and the median is the middle number. We know there are 5 numbers so, 5 is the middle as it is the median #. The mode has to appear more than once or 5 would also be a mode.
1 1 5 _ _
M = 1+1+5+x+y /5
4 = 1+1+5+x+y/ 5
4 = 7+x+y / 5
Average of 5 numbers is 4 therefore 4 times 5 = 20
20-7 = 13, what two numbers that are more than 5 equal 13? Only 6 &7.
4 = 1+1+5+6+7 / 5
Answer:
(x+x)^2=4-x
Step-by-step explanation:
I think, don't be mad if I'm wrong!
Answer: The two correct answers would be 40 and 45.
Step-by-step explanation: The square root of 40 is 6.32 which is between our given values 6 and 7 it also can be represented as 2 sq rt 10 The sq rt of the second number 45 is 6.70 which is again between the 2 values. It can also be represented as 3 sq rt 5. Hope this helps!
If cos x= sin(20 + x)° and 0° < x < 90° then value of x is 35 degrees
<em><u>Solution:</u></em>
Given that:
We know that,
Taking cos x as common,
By trignometric functions,
sin 20 = 0.34202
cos 20 = 0.939692
So,
Therefore,
x = arc tan (0.7002)
x = 35 degrees
Therefore value of x is 35 degrees
<h3><u>Method 2:</u></h3>
cos x = sin (20 + x)
sin and cos are co - functions, which means that:
cos x = cos [90 - (20 + x)]
cos x = cos (90 - 20 - x)
cos x = cos (70 - x)
Therefore, x = 70 - x
x + x = 70
2x = 70
x = 35
Therefore value of x is 35 degrees
