Answer & Explanation:
A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.
answer:
**the answer is the picture**
i plotted the dots in the order they're in on the chart
(the x axis is the time and the y axis is the distance)
so you would plot (1,4) which is the equivalent to time=1 distance=4
next (2,8) then (3,12) and lastly (4,16)
good luck :)
hopefully, this helps
**i tried my best**
have a great day !!
Answer: Option D) 3 x 5 + 4 x 2
Step-by-step explanation:
- Since a dozen muffins costs $5.
Buying 3 dozen muffins means (3 x $5)
- Since Large bottles of juice cost $2.
The cost of 4 large bottles of juice is (4 x $2)
Hence, the total cost is (3 x $5) + (4 x $2)
= $15 + $8
= $23
Now, you'll notice that "3 x 5 + 4 x 2" gives 23.
Thus, it is the only expression that could be used to find the total cost.
Answer: Van = 198 students
bus = 672 students
Step-by-step explanation:
Let x represent the number of students in the vans and y represent the number of students in the buses, then from the first statement , we have
11x + 4y = 289 ................. equation 1
From the second statement, we also have
7x + 12y = 581 ............... equation 2
Combining the two equations together and solving simultaneously , we have
x = 11 and y = 42
therefore the number of students vans can carry will be'
11x + 7x
= 11(11) + 7 (11)
= 121 + 77
= 198
The number of students buses will carry will be
4y + 12y
= 4(42) + 12(42)
= 168 + 504
= 672
Part a: Option D 18 feet per second
Part b: increasing
Solution:
Height ![h(t)=-16 t^{2}+50 t+3](https://tex.z-dn.net/?f=h%28t%29%3D-16%20t%5E%7B2%7D%2B50%20t%2B3)
Part a: To find the average rate of change for h(t) between t = 0 and t = 2.
Substitute t = 0 in h(t).
![h(0)=-16 (0)^{2}+50 (0)+3](https://tex.z-dn.net/?f=h%280%29%3D-16%20%280%29%5E%7B2%7D%2B50%20%280%29%2B3)
h(0) = 3
Substitute t = 2 in h(t).
h(2) = 39
Average rate of change formula:
![$=\frac{h(b)-h(a)}{b-a}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7Bh%28b%29-h%28a%29%7D%7Bb-a%7D)
Here, a = 0 and b = 2.
![$=\frac{h(2)-h(0)}{2-0}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7Bh%282%29-h%280%29%7D%7B2-0%7D)
![$=\frac{39-3}{2}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B39-3%7D%7B2%7D)
![$=\frac{36}{2}](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B36%7D%7B2%7D)
= 18
Average rate of change = 18 feet per second
Option D is the correct answer.
Part b:
This means height of the ball is increasing for 0 < x < 2.