Answer:
8 (7.94)
Step-by-step explanation:
You can think of it as a geometry problem.
What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).
What you need to find is the height. We will call it H.
As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:
H^2 + 9^2 = 12^2
H^2 + 81= 144
H^2 = 63
Applying squared root in both sides
H = √63
H = 7,94
So, the height is approximately 8.
Answer:
Option C. continuous except x = 5 and x = 9.
Step-by-step explanation:
The given function is 
Now we have to check the continuity of the given function
We know if the denominator of a function which is in the form of a fraction is 0 then the given function is not continuous.
If we put x - 5 = 0
x = 5
and x - 9 = 0
x = 9
These are the two values of x for which the function is not defined.
Therefore option C. function is continuous except x = 5 and x = 9
is the correct answer.
Step-by-step explanation:
8-1/4-7 = 7/-3 this the answer I guess
Answer:
Upwards
Step-by-step explanation:
The general form of a quadratic is 
We can tell whether the curve opens upward or downward by the sign of "a"
If
- a is positive, the curve opens upward
- a is negative, the curve opens downward
Reaaranging the given equation:
Here, we see that a is positive, so the curve opens Upward
Answer:
£10
Step-by-step explanation:
There may be a far easier way to do this, but this is how I did it and still came up with the correct solution.
-Assuming they buy at least 15 bags, they will get a 20% discount.
-20% discount would mean they only pay 80% of the original price. 80%=.80
-let x represent number of bean bags
£50 per bean bag multiplied by sale price .80, plus cost of coffee machine £370 must be equal to or less than £1300.
(50x)(.80) + 370 = 1300
Simplify:
40x + 370 =1300
Subtract 370 from both sides
40x = 930
Divide both sides by 40
X=93/4
Simplify fraction
23 1/4
=23.25
But since they cant buy .25 (quarter) of a bean bag, we reduce* to nearest whole number. We can not increase* to nearest whole number as this would exceed their budget.
23 bean bags. They can buy 23 bean bags at £40 each + coffee machine for £370.
£40(23) + £370 = £1290
£1300-£1290=£10
I hope this helps!
