Hello!
As you can see, two of the triangles that we see that are made from the lengths we are given make up one face of the pyramid. We can use the triangle formula without multiplying by 1/2 to find the length of one face.
30(45)=1350
Now we multiply this by four to find all of the sides.
1350(4)=5400
We find the area of the square base
30(30)=900
Finally, we add up our lengths.
5400+900=6300
Therefore, our answer is C) 6400 yards²
I hope this helps!
Try this option:
A. f(4)=7 - false; explanation: x=4, it means that x>0 and x²-1=4²-1=15 ⇒ f(4)=15.
B. f(1)=0 - true; explanation: x=1, it means that x>0 and x²-1=1-1=0.
C. f(-1)=2 - true; explanation: x=-1, it means that x<0 and -x+1=1+1=2.
D. f(-2)=0 - false; explanation: x=-2, it means that x<0 and -x+1=2+1=3 ⇒ f(-2)=3.
Answer:
measure of what
Step-by-step explanation:
let me know
Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
and so far we have that h = 0 and k = 0.
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
and
and
and
so
b = 12. Now we're ready to fill in the equation:
and there you go!
Answer:
In pairs of similar polygons, corresponding angles are always __Congruent_____
Step-by-step explanation:
<em><u>The Angles of two corresponding sides are equal i.e congruent and vice versa</u></em>
