Answer:
17 cm
Step-by-step explanation:
To find the perimeter of any figure, you must add all the side lengths. In a triangle, there are three side lengths to add, and in this case, they are 3 cm, 6 cm, and 8 cm long. So:
3 + 6 + 8 = 17 cm
∴, the triangle's perimeter is 17 cm.
Answer:
Step-by-step explanation:
The equations are:
The two graphs intersect when:
To find the area under the curve for the first equation:
To find the area under the curve for the second equation:
To find the total area:
Simplifying the equation:
Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).
Just work through step by step
Follow each point until you reach one answer
Digits = 7
-9 = reverse
16 - 9 = 7 x
25 - 9 = 16 x
34 - 9 = 25 x
43 - 9 = 34 Y
52 - 9 = 43 x
61 - 9 = 52 x
4 + 3 = 7
43 - 9 = 34 - the digits have been reversed
43
Answer:
Step-by-step explanation:
The height of the marshmallow (in feet) is represented by the equation h=−16t2+8t+48,
where t is the time (in seconds) after he throws the marshmallow.
The equation is a quadratic equation. When the marshmallow hits the ground, its height from the ground will be zero. Therefore
−16t^2+8t+48 = 0
- 2t^2 + t + 6 = 0
Multiplying through by the negative sign. It becomes
2t^2 - t - 6 = 0
2t^2 + 3t - 4t - 6 = 0
t(2t + 3) - 2(2t + 3) = 0
(t - 2)(2t + 3) = 0
t - 2 = 0 or 2t + 3 = 0
t = 2 or t = - 3/2
The time cannot be negative
So it will take 2 seconds to hit the ground
Answer:
24
Step-by-step explanation:
In the first classroom, there are 4 possibilities of teachers to be assigned.
In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.
In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.
Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.
We can find the total number of possibilities using the product rule.
N = 4 × 3 × 2 × 1 = 24
