The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
If you would like to write a * b + c in simplest form, you can do this using the following steps:
a = x + 1
b = x^2 + 2x - 1
c = 2x
a * b + c = (x + 1) * (x^2 + 2x - 1) + 2x = x^3 + 2x^2 - x + x^2 + 2x - 1 + 2x = x^3 + 3x^2 + 3x - 1
The correct result would be x^3 + 3x^2 + 3x - 1.
Step-by-step explanation:
(180-x)-40=X
140 -x=X
140= 2x
x=140/2
x=70
the answer is 70 degree
Answer:
The total profit P(x) or the month is
.
Step-by-step explanation:
A company produces x units of a product per month.
The total cost represents by the function C(x).

The total revenue represents by the function R(x).

The profit is the difference between revenue and cost.



Combine like terms.


Therefore, the total profit P(x) or the month is
.
Answer:
58 number of dimes.
A. $5.8
B. 131.602 grams.
Step-by-step explanation:
A U.S. dime has a thickness of
mm.
Now, Gary has a stack of dimes that is
mm in height.
Therefore, Gary has
dimes in total.
A. Now, each dime is equivalent to $0.1.
Therefore, the total value of the dimes that Gary has is $(0.1 × 58) = $5.8.
B. If each dime weighs 2.269 grams, then the mass of the entire stack of dimes will be (2.269 × 58) = 131.602 grams. (Answer)