Answer:
6x^2 +12x -1
Step-by-step explanation:
The perimeter is the sum of the two leg lengths and the base length:
P = 2(3x^2 +4x +2) +(4x -5)
= 6x^2 +8x +4 +4x -5
P = 6x^2 +12x -1
Answer:
80
Step-by-step explanation:
If we assume the triangles are similar and are isosceles, and that BK is an altitude, then we can work the problem.
Triangle OKN will be similar to triangle BKA, so ...
AN : AK = BO : BK = 1 : 3
Then ...
AN : AK : KC = 1 : 3 : 3
In terms of ratio units, ...
AN = 1
AC = 3+3 = 6
NC = 6-1 = 5
This means NC : AC = 5 : 6. The triangle perimeters will have the same ratio.
perimeter(NMC) = 5/6·perimeter(ABC) = 5/6·96
perimeter(NMC) = 80
The independent variable would be “d meters” because the amount of time depends “dependent variable” on the height of the fall
<span>...
| 12: 2 + 4 x (3 +5) =
2 x | 12: 2 + 4 x (3 +5) =
</span> | 12: 2 + 4 x (3 +5) =
-------------------------
2 x 36: 6 + 12 x (9 +15) =
2 x 6 + 12 x 24 =
2 x 6 + 288 =
12 + 288 = 300
Answer:
The Angles of △SPT are
Step-by-step explanation:
step 1
Find the measure of angle PET
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given values
step 2
Find the measure of angle PTE
we know that
The sum of internal angles of a triangle must be equal to 180 degrees
In the triangle PET
substitute the given values
step 3
Find the measure of angle STP
we know that
The inscribed angle is half that of the arc it comprises.
substitute the given values
step 4
Find the measure of angle SPT
we know that
----> by supplementary angles
step 5
Find the measure of angle PST
we know that
The sum of internal angles of a triangle must be equal to 180 degrees
In the triangle SPT
substitute the given values
