For this case we have the following equation:
h (t) = - 12t2 + 36t
When the object hits the ground we have:
- 12t2 + 36t = 0
We look for the roots of the polynomial:
t1 = 0
t2 = 3
Therefore, the time it takes the object to hit the ground is:
t = 3 s
Answer:
the time when the object hits the ground is:
t = 3 s
Answer:
-10
Step-by-step explanation:
-7+(-3)= -7-3
= -(7+3)
= -10
Side note: Do you not have a caculator?
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.
Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers
So algebraically, consecutive integers follow the form x, x+1, x+2, etc...
Since the sum of two consecutive integers is 239, this means:
x%2Bx%2B1=239
2x%2B1=239 Combine like terms on the left side
2x=239-1Subtract 1 from both sides
2x=238 Combine like terms on the right side
x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x
x=119 Divide
So our first number is x=119
So to find the next number, simply add 1 to it to get 119%2B1=120
Answer: So our two page numbers are 119 and 120
Answer:
the awnser is 45
Step-by-step explanation:
i just took this test on masery connect
