Answer:
16.6 in
Step-by-step explanation:
The volume (V) of a pyramid is
V = 
area of base × h
where h is the perpendicular height and area of base = 14² = 196
here V = 980, so
× 196h = 980 ( multiply both sides by 3 )
196h = 2940 ( divide both sides by 196 )
h = 15
Consider the right triangle formed by the height h from the vertex to the midpoint of the base and the slant height (s) ← the hypotenuse
Using Pythagoras' identity in the right triangle
s² = 15² + 7² = 225 + 49 = 274 ( take the square root of both sides )
s = 
≈ 16.6
In how many months or years if just one month a little under 3000 each
The standard form is
(x-xo)² + (y-yo)² = r²
Where xo,yo is the center of the circumference
and r is the radius.
We find the distance between the points to determine the <span>diameter
d=sqrt ((9-2)</span>² + (4-4)²<span>) = sqrt (49) = 7
The radius of the circumference is d/2 = 7/2 = 3.5
And we can see that those points are at the same coordinate y = 4
The center is given then by , x = (9+2)/2 = 5.5
y = (4+4)/2 = 4
The equation results
(x-5.5)</span>² + (y-4)² = (3.5)²<span>
</span>
Answer:
c. 50
Step-by-step explanation:
count each full block and every block that is more than half full as 1 each, ignore every block that is less than half full.
I got exactly 50 using this method before looking at the available answers.
In multiple choice math problems try to ignore the possible answers until you have determined what you think it ought to be. If the answer you found is in the list you have more confidence you are right, if the answer you got is not in the list you know you did something wrong... just a hint :)
Part (i)
<h3>Answer:
x^2 + 5x + 6</h3>
-----------------
Work Shown:
(x+3)(x+2)
y(x+2) ..... Let y = x+3
y*x + y*2 ... distribute
x(y) + 2(y)
x(x+3) + 2(x+3) .... plug in y = x+3
x*x + x*3 + 2*x + 2*3 ... distribute
x^2 + 3x + 2x + 6
x^2 + 5x + 6
=====================================================
Part (ii)
<h3>Answer:
4x^2 - 16x + 7</h3>
-----------------
Work Shown:
We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.
The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.
Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.
The terms in those four inner cells (gray boxes) are:
The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.
We end up with the answer 4x^2-16x+7
