You have 2 triangles and 3 rectangles.
Start with a triangle:
area is base side * height / 2 -> 4 * 3 / 2 = 6
The other triangle has the same area: 6
First rectangle: side * other side -> 7 * 5 = 35
Second rectangle: 7 * 4 = 28
Third rectangle: 7 * 3 = 21
Now simply add all this together: 6+6+35+28+21 = 96
Answer:
81
Step-by-step explanation:
Given the expression:
To make it a perfect square, we follow the following steps.
Divide the coefficient of x by 2
- Coefficient of x=18, 18/2=9
Square It
Add it to the expression
This is written as a perfect square as:
The constant term required therefore is 81.
Answer:
Given the expression:
Let the value of the given expression in radians be
then;
......[1]
We know the value of
Substitute the given value in [1] we have;
Since, the value of is 0, therefore, the value of is in the form of:
; where n is the integer.
At n =0, 1 and 2, {Since, n is the integer}
Value of and
therefore, the answer in radians either or
Answer:
V = 408 cm cubed
SA = 558 cm squared
Step-by-step explanation:
To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V =1/2 l*w*h =1/2* 6*8*17 = 408
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.
Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.
The surface area of the prism is 48 + 510 = 558.