Find the surface area of the figure formed by the net with 2 cm, 3 cm, and 4 cm edges. (1 point) Responses 26 cm2 26 cm 2 48 cm2 48 cm 2 52 cm2 52 cm 2 62 cm2
To find the surface area of the figure formed by the net with 2 cm, 3 cm, and 4 cm edges, we need to calculate the area of each face on the net and add them together.
The net formed by 2 cm, 3 cm, and 4 cm edges has the following faces:
- A rectangle with dimensions 2 cm by 3 cm (2 cm * 3 cm = 6 cm^2)
- A rectangle with dimensions 2 cm by 3 cm (2 cm * 3 cm = 6 cm^2)
- A rectangle with dimensions 3 cm by 4 cm (3 cm * 4 cm = 12 cm^2)
- A rectangle with dimensions 3 cm by 4 cm (3 cm * 4 cm = 12 cm^2)
- A rectangle with dimensions 2 cm by 4 cm (2 cm * 4 cm = 8 cm^2)
- A rectangle with dimensions 2 cm by 4 cm (2 cm * 4 cm = 8 cm^2)
Adding the areas of all the faces together:
6 cm^2 + 6 cm^2 + 12 cm^2 + 12 cm^2 + 8 cm^2 + 8 cm^2 = 52 cm^2
Therefore, the surface area of the figure formed by the net with 2 cm, 3 cm, and 4 cm edges is 52 cm^2.
The correct response is: 52 cm^2
Add the rational numbers: 8/15 + (−6/15)
(1 point)
Responses
14/15
2/15
-2/15
-14/15
To add the rational numbers 8/15 and -6/15, you simply add the numerators together and keep the denominator the same.
8/15 + (-6/15) = (8 - 6) / 15
= 2/15
Therefore, the sum of 8/15 and -6/15 is 2/15.
The correct response is: 2/15
Simplify the expression by using the distrubutive property and combining like terms:
-9 + 4(4x + 9)
(1 point)
Responses
32x + 16
32x + 16
16x
16x
27 + 16x
27 + 16x
16x + 18
To simplify the expression -9 + 4(4x + 9) using the distributive property, you multiply 4 by each term inside the parentheses:
-9 + 4(4x + 9)
= -9 + 16x + 36
= 16x + 27
Therefore, the simplified expression is 16x + 27.
The correct response is: 16x + 27