To answer question 12, you first need to know the definition of a <em>prism</em> and a<em> pyramid.
</em>A <em>pyramid </em> is a 3-D structure with one base, whose outer faces are made of triangles, and meet at a single point at the top.
A <em>prism</em> is any 3-D shape with a base of any number of sides, another base with the same amount of sides, and faces joining the two together on every side of the bases.
12.
Shape A is a <em>pyramid</em>, because it has one base, and all the faces join together in at one point.
Shape B is a <em>prism</em>, because it has two bases, and faces joining every side of the bases.
Shape C is a <em>prism.</em>
Shape D is a <em>pyramid.
</em>For #13, you have to know the definition of a cube to figure out the math of how many cubes there are.
A cube is a 3-D shape with six sides, all made up of squares of the same size.
The box has a volume of 120 cubic inches, and each cube is 1 inch. Since every side of a cube is equal, a 1-inch cube is one cubic inch.
This means that a box with a volume of 120 cubic inches will fit 120 of the 1 inch cubes.
1 layer of the cubes, in the diagram, is 8 cubes by 3 cubes, or 24 cubes total.
To find the number of layers needed to fill the box, you divide 120 by 24.
120 ÷ 24 = 5
The answer to #13 is 5 layers.
-30+-15
=-45
hope that helps
Answer:
Step-by-step explanation:
<u>Lets calculate the points:</u>
- Art - 2 hrs - B (3) ⇒ 2*3 = 6 points
- History - 3 hrs - A (4) ⇒ 3*4 = 12 points
- Science - 4 hrs - C (2) ⇒ 4*2 = 8 points
- Math - 3 hrs - B (3) ⇒ 3*3 = 9 points
- Lab - 1 hr - A (4) ⇒ 1*4 = 4 points
<u>Totals</u>
- Total hours = 13
- Total points = 39
<u>GPA = total points/ total hours</u>
Correct option is C
19 + (11+37) = (19 + 11) + 37
Associative property of addition
List A
4+4y=8y
4 (y-1)= 4
4y+1=5y
List B
4y-4=y
4 (y+1)=5y
1+4y=5y