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.
Answer: 0.548
Step-by-step explanation:
First you need to remember the formula for PEMDAS(Parenthesis,exponents,multiplication,divison,addition,subtractio)
you can do either multiplication or divison whichever comes first, same with addition+subtraction.
the underlined means to simplify
1.<u>-0.57x3</u>/5+4/7x-1/5+2/5x-4/5
2.<u>-1.71/5</u>+4/7x-1/5+2/5x-4/5
3.-0.342+<u>4/7</u>x-1/5+2/5x-4/5
4.-0.342+0.57x<u>-1/5</u>+2/5x-4/5
5.-0.342+<u>0.57x-0.2</u>+2/5x-4/5
6.-0.342+0.114+<u>2/5</u>x-4/5
7.-0.342+0.114+<u>0.4x-4</u>/5
8.-0.342+0.114+<u>-1.6/5</u>
9.<u>-0.342+0.114</u>+-0.32
10.<u>-0.228+-0.32=-0.548</u>
<u>i did this all in one go so......</u>
Answer:
Look at the explanation
Step-by-step explanation:
4x^2+25x+6
(4x+1)(x+6)
Hope this helps!
Answer:
The area of the shape is 
.
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is 
The area of the second rectangle is 
The area of a triangle is given by the formula 
where <em>b</em> is the base and <em>h</em> is the height of the triangle.
The area of the triangle is 
Finally, add the areas of the simpler figures together to find the total area of the composite figure.
Answer:
If you add 5 to a, it will be greater than b
Step-by-step explanation:
This is because if you have the inequality y<x+5 a=x b=y so by adding 5 to a meaning x 5+a will still be greater than b(y) with out changing the sign or inequality.
