Surface area is the area of the faces added together.
First lets find the area of one of the triangles.
Area of triangle is 1/2*base*hight
Area=1/2*2*3= 3
Area of ONE tringle is 3, and area of the FOUR tringles is 4*3 whihc is 12
Now lets find area of square
area of square is side*side
So, area is 2*2 which is 4
Now lets add area of triangles+area of square
12+4 which 16
Surface area is 16
Answer:
Step-by-step explanation:
Given is a differential equation as
Divide this by t to get in linear form
This is of the form
y' +p(t) y = Q(t)
where p(t) = 1/t
So solution would be
siubstitute y(1) = 16
what do you need help for
Answer:
33°
Step-by-step explanation:
We were given that:
1- The angles of a triangle add up to 180 degrees
2- The second angle is 15 degrees larger than the smallest angle
3- The third angle is 3 times as big as the smallest angle
So, first of all, let's call the smallest angle x.
the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle
and the third will be 3x, since it is 3 times bigger than the smallest angle.
With the information we have, we can form an equation!
180° = x + (x+ 15°) + 3x
180° = 5x + 15°
180° - 15° = 5x + 15° - 15°
165° = 5x
165°/5 = 5x/5
33° = x
therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.
99° + 33° + 48° = 180°
so it is safe to say this answer is correct!
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
