Given:
A prism with height 5 cm and equilateral triangular base with side 2 cm.
To find:
The total surface area of the prism.
Solution:
Area of an equilateral triangle is:
Where, a is the side length.
Putting 
, we get
The base and top of the prism are congruent so their area must be equal.
The lateral surface area of the prism is:
Where, P is the perimeter of the base and h is the height of the prism.
The lateral surface area of the prism is:
Now, the total surface area is the sum of areas of bases and lateral surface area.
Therefore, the total surface area is 33.46 cm².
F(x) = 2x + 1 when x <= -5
Now -10 is less than -5 so we plug x = -10 into 2x +1:-
f(-10) = 2(-10) + 1 = -19 answer
Now f(x) = x^2 when -5< x < 5
x =2 is within this range so f(2) = 2^2 = 4 answer
You can calculate the other 3 values by a similar method
Answer:
IT is 41.5 heres the steps
Step-by-step explanation:
first step 21 divided by 2 = 10.5
Then you do 10.5 + 1 = 11.5
then you do 11.5 times 5 = 57.5
Then 2 times 2 times 2 times 2= 16
then 16 - 57.5 = 41.5 is your answer
It would be 50 times because 15 divided by 3 is 5 and you just add your 0 back and get 50! hope this helps!
Answer:
(6, -9)
Step-by-step explanation:
The transformation from point (-3, -3) to point (4, -5) is the same transformation from point (-1, -7) to the missing point.
Let's find the transformation from point (-3, -3) to point (4, -5).
x: 4 - (-3) = 7
y: -5 - (-3) = -2
Now we apply a transformation of 7 in x and -2 in y to (-1, -7).
(-1 + 7, -7 + (-2)) = (6, -9)
Answer: (6, -9)
