Answer:1. find the intersection, 2.) 0 and 1, 3,) 2 and 3, 4.) 0.4, 2.8
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Hope you do well on your assignment!
Volume of a Pentagonal Pyramid 5/6 <span>abh
Given,
a = 3 m
b = 5 m
h = 8 m
Volume of a pentagonal pyramid
<span>= </span><span><span>5/6 </span></span><span> 3 m </span><span>×</span><span> 5 m </span><span>×</span><span> 8 m</span>
= 100 m</span>³<span>
</span>
Rearrange
to give
Let
be a variable 'p' and so we can write
as
Rewrite the equation in terms of 'p'
where
using the quadratic formula
and subsitute the value of
There are two value of p; 125 and -27
Now we find the value of x
Earlier we substitute
for
and
for
When
,
![x= \sqrt[3]{125}=5](https://tex.z-dn.net/?f=x%3D%20%5Csqrt%5B3%5D%7B125%7D%3D5%20)
When
![p = -27, x= \sqrt[3]{-27}=-3](https://tex.z-dn.net/?f=p%20%3D%20-27%2C%20x%3D%20%5Csqrt%5B3%5D%7B-27%7D%3D-3%20)
So the final answer is the two values of x;
x = 5 OR x = -3
Answer:
a. vertical
b. corresponding
c. same-side interior angles
d. alternate exterior
e.alternate interior
f. same-side exterior
g. vertical angles
h. corresponding angles
Step-by-step explanation:
Definitions: Alternate interior angles: two nonadjacent interior angles on opposite sides of the transversal.
Same-side interior angles: two interior angles on the same side of the transversal.
Corresponding angles: two angles in corresponding positions relative to the two lines
a. Angle 1 and Angle 4: These angles are vertical angles.
b. Angle 2 & Angle 6: These angles are corresponding angles.
c. Angle 3 and Angle 5: Same-side interior angles
d. Angle 1 & Angle 8: Alternate exterior
e. Angle 4 and Angle 5: Alternate interior angles
f. <2 & <8
Same-side exterior angles
g. <6 & <7 vertical angles
h. <3 & <7
Corresponding angles
