First, let's calculate the triangles of the prism.
The area of a triangle is base times height, then divide by 2.
So:
(7*8)/2.
This would give us 28.
Also knowing that there are two triangles on the prism, we have to multiply 28 by 2. This would give us 56.
Now, for the rectangles, we have to find their areas.
The area of a rectangle is length times width. So this would give us:
8*16.
This equals 128.
Next, knowing that there are three rectangles, multiply 128 by three. This gives us 384.
Now, we jus have to add all the areas together:
384+56 = 440
So the prism's surface area is 440cm^2
Hope this helps. If you have any questions, please put them in the comments below.
Most researchers suggest that it should range from 10% to 15% (15 percent as the max) to be allocated for food from your net spendable income.
Answer:
f (
x
) −
1 =
(
1/
4 x
) −
2.
Step-by-step explanation:
For inverse function, the x and y interchanges and then make y the subject again of the equation. See the working out below:
f (
x
) = 4
x + 8
f (
x
) = y
y = 4
x + 8
x = 4
y +
8 ----- interchanging y and x
Now make y the subject of the equation:
x = 4
y + 8
−
4
y = -
x + 8
y = (
−
1/
4 )
. − x
+ (
−
1/
4 ) .8
y = (
1/
4 x
) −
2
So the inverse function is:
f (x) −
1 = (
1/
4 x
) −
2
Answer:
Step-by-step explanation:
cot(theta) = 1 / tan(theta)
cot(theta) = 1 / -5
cot(theta) = - 0.2
Let the yellow corn be x
And other variety be y
Question says that she brought a dozen (as total)
So,
x +y = 12
If cost of yellow corn was 40 cent and cost of other varieties were 50 cents then,
(After changing those cents into dollar)
0.40x+ 0.50y = 5.70
Because she paid a total of 5 dollar 70 cents for yellow and other variety.
So, option "a" is correct.
