Answer:
discount = 9
new price = 36
Step-by-step explanation:
The discount is the price times the discount percent
45 * 20%
Change to decimal form
45*.20
9
The new price is the original price minus the discount
45-9 = 36
Answer:
By the triangle side length theorem, the sum of the two shorter sides has to be equal to or larger than the third side. Thus, we can write the following inequation.
a
+
b
≥
c
, where a and b are the shorter sides and c the longest.
11, 9 and 15 satisfies this inequality while 11, 9 and 20 doesn't.
Justification:
The reason for this rule is simple; it's because if the longest side is longer than the sum of the two shorter sides, this means that the shorter sides aren't long enough to connect with the longest side, thus rendering the shape a collection of lines and disqualifying the possibility of having a triangle, which was our objective.
Practice exercises:
Which of the following triangles is possible?
a) 4,6 and 14
b) 5,11 and 16
c) 1,3,6
D). 12,19 and 26
Find the smallest possible value of a to make the following an actual triangle :
a
,
14
,
25
Hopefully this helps:
Step-by-step explanation:
Answer:
This the answer but it words because i didn't really wanna type all those numbers but just transfer this into numbers and you'll have the simplified version :)
x to the 4 power minus 4x to the third power minus 2x squared plus 12x plus 9
Step-by-step explanation:
Answer:
Option (D)
Step-by-step explanation:
Formula to get the area of a regular polygon in a circle will be,
Area =
=
Here 'n' is the number of sides.
If n increases, h approaches r so that 'rh' approaches r².
In other words, if the number of sides of the polygon gets increased, area of the polygon approaches the area of the circle.
Therefore, Option (4) will be the answer.
Answer:
Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.
Step-by-step explanation:
Let x represent time spent in running.
We have been given that the entire trip took 2 hours, so time spent in flying the jet-packs would be .
We know that distance is equal to speed times time.
Eudora ran from her home to a secret laboratory at an average speed of 12 km, so distance traveled by running would be .
Eudora took one of her jet-packs and flew to her school at an average speed of 76 km, so distance covered by jet-packs would be .
We are told that Eudora traveled a total distance of 120 km. We can represent this information in an equation as:
Combine like terms:
Divide both sides by :
Therefore, Eudora spent 0.5 hours in running.
Upon substituting in expression for time spent in flying jet-packs, we will get:
Therefore, Eudora spent 1.5 hours flying using her jet-pack.