Answer:
f(19)=3/21-4=-3.857
Step-by-step explanation:
f(x)=3/(x+2)-sqrt(x-3)
f(19)=3/(19+2)-sqrt(19-3)
f(19)=3/21-sqrt(16)
f(19)=3/21-4
f(19)=-3.857
Answer:
3.897 
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded
There are 8 yellow and 24 blue. Our ratio from yellow to blue is 8:24.
To simplify this, we need to see if we can divide 8 and 24 by a common factor.
8 and 24 can be divided by 8, so let's do that.
8/8 = 1.
24/8 = 3.
Your new and simplified ratio is 1:3 from yellow to blue, but we're looking for blue to yellow. Flip the ratio.
3:1 is your ratio.
C.) is your correct answer.
I hope this helps!
Answer:
Following are the responses to the given question:
Step-by-step explanation:

<u>Answer:</u>
The amount lost over the 3 years s 2567.25£
<u>Explanation:</u>

where F = final value after n years
I = initial value of the car in 2017 = £18000 (given)
Since the value is depreciated 5% every year for 3 years,
r = percentage rate of depreciation = 5% (given)
n = 3 years
Substituting these values in formula, we get

=

= 15432.75£ which is the value of the car after 3 years
Finally 18000-15432.75 = 2567.25£ is the amount lost over this period.