Answer:
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(8x - 13)
= 
=
Answer:
The area of the base of the rectangular prism is:
- <u>18 square centimeters</u>.
The height of the rectangular prism is:
The volume of the rectangular prism is:
- <u>108 cubic centimeters</u>.
Step-by-step explanation:
To find the area of the base of the prism, you must remember that it corresponds to the rectangle formed by the points ABCD, with this in mind we apply the area formula that is equal to:
- Area of a rectangle = base * height.
Since the rectangle formed by the mentioned points has a base of 9 cm and a height of 2 cm, these values are the ones we use in the formula:
- Area of a rectangle = 9 cm * 2 cm
- <u>Area of a rectangle = 18 cm^2
</u>
Since the height requested by the second question is not from the rectangle at the base but from the entire prism, you should look at the height formed by the AW points, which as you can see is:
- <u>Prism height = 6 cm
</u>
Once we have these two data, it is very easy to calculate the volume since they are what we require in the volume formula:
- Volume = area * height.
- Volume = 18 cm^2 * 6 cm
- <u>Volume = 108 cm^3</u>
Answer:
Step-by-step explanation:
1:4
1:2
5:1
Answer:
The smaller angle is 35 and the larger one is 145.
Step-by-step explanation:
In order to find this, we need to express the larger angle in terms of the smaller angle (x).
4x + 5 = large angle.
Now that we have this, we can add them together and set equal to 180.
x + (4x + 5) = 180
5x + 5 = 180
5x = 175
x = 35
Now that we have the value of the smaller angle, we can plug in to get the larger angle.
y = 4x + 5
y = 4(35) + 5
y = 140 + 5
y = 145
