Answer:
V = 10,240mm^3
Step-by-step explanation:
The volume of pyramid is given by the following formula:
(1)
b: base of the pyramid = (32mm)^2
h: height
Thus, it is necessary to find the value of h, by using the Pitagoras's theorem, one half of the base and the slant height (which forms a rectangle triangle with h):

by replacing in (1) you obtain:

hence, the volume is 10240mm^3
Answer:
In geometry, a branch of mathematics, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
Answered by GAUTHMATH
The value of "x" is 5.5
<em><u>Solution:</u></em>
Given that we have to solve the proportion

We can solve the above given proportion for "x" by cross multiplying
Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction
Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction
Set the two products equal to each other
Solve for the variable "x"

On rounding to nearest tenth we get 5.5
Thus value of "x" is 5.5
Answer:
Exact form: -31/4 , Decimal form: -7.75 , Mixed number form: -7 3/4
Step-by-step explanation:
Hope this helps.
Okay so I attatched pictures of my work. I would just graph it by plugging in x-values on either side of the vertex into the equation. For example, the vertex is at (-2,3). So try plugging x=-5 and x=1 into the equation (y=a(x-h)^2 +k).
y=(x+2)^2 +3
y=((1)+2)^2 +3=(3)^2+3= 9+3=
12
Now you can plot the vertex (-2,3), the point (1,12), and (-5,12). From there just connect the dots and you should get a graph that looks similar to the last picture I attached. Hope this all made sense sorry it was so wordy I just wasn't sure how much you knew or didn't know. So, I thought it would be better to explain it all rather than not enough.