Answer:
42.1
Step-by-step explanation:
tan 39 = 52 / x
x = 52 tan39
x = 42.1
Answer:
The value of angle P is 119 degrees
Step-by-step explanation:
When two angles are supplementary, it means that they add up to be 180 degrees. For example, if we have two angles only on a straight line, then both angles are supplementary angles.
Now, the information we have from the question is that angle P is three less than twice the measure of Q.
What this mean is that if Q is x, then P is 2x-3
So let’s add both to equal 180 since they are supplementary;
x + 2x -3 = 180
3x -3 = 180
3x = 180 + 3
3x = 183
x = 183/3
x = 61
This is the value of Q;
The value of P which we are asked to look for is 2x -3 = 2(61) -3 = 122 -3 = 119 degrees
9514 1404 393
Answer:
b) y=(x+6)^2-32
Step-by-step explanation:
Add and subtract the square of half the x-coefficient to put into vertex form.
f(x) = x^2 +12x +4 . . . . . given
y = x^2 +12x +36 +4 -36 . . . . add and subtract (12/2)^2 = 36
y = (x +6)^2 -32 . . . . . . . . . . . write in vertex form
Answer:
50
Step-by-step explanation:
Using the experimental probability, first we have to find total amount paint then to find the amount of good quality forever paint we have to subtract the amounts of other paints from total amount.
Let x represents the amount of good quality forever paint sold.
Total amount of paint ...(i)
Experimental probability of paint sold will be better quality durable paint is
It is given that experimental probability of paint sold will be better quality durable paint is
...(ii)
From (i) and (ii), we get
Therefore, 50 gallons good quality forever paint is sold.
Answer:
3x - 6
Step-by-step explanation:
To evaluate f(2x) and f(x + 2) substitute x = 2x and x = x + 2 into f(x)
f(2x) = 3(2x) - 2 = 6x - 2
f(x + 2) = 3(x + 2) - 2 = 3x + 6 - 2 = 3x + 4
Thus
f(2x) - f(x + 2)
= 6x - 2 - (3x + 4)
= 6x - 2 - 3x - 4
= 3x - 6