Answer:
The volume of a prism on its own = 248.5cm^3
The volume of a cylinder = 87.92cm^3
Step-by-step explanation:
The volume does not change for the prism as the hole was drilled.
We can show the drilled space with v(l) and (p) for prism V
v(l) 248.5p - 87.92p + 87.92p
= 248.5p
Answer:
answer 60
Step-by-step explanation:
The LCM(12, 20) = 60.
Answer:
Is a consistent independent system
Step-by-step explanation:
we have
-----> isolate the variable y
----> equation A
-----> isolate the variable y
---> equation B
Compare equation A and equation B
We can affirm that
The slopes are not equal ( so the lines are not parallel)
The lines are different
The product of their slopes is equal to -1 (the lines are perpendicular)
so
The system of equations has only one solution
therefore
Is a consistent independent system
Answer:
Step-by-step explanation:
Let
, a reflection over the x-axis consists in the following operation:

If we know that
and
, then the points translated over the x-axis are
and
, respectively. The most precise description of the shape is a rectangle for the following facts:
1)
and
.
2)
and
have the same x-component.
3)
and
have the same x-component.
4)
and
have the same y-component.
5)
and
have the same y-component.
A representation of the shape is included below as attachment.
Answer:
It can be concluded that the intersection of a chord and the radius that bisects it is at right angle. The two are perpendicular.
Step-by-step explanation:
i. Construct the required circle of any radius as given in the question, then locate the chord. A chord joins two points on the circumference of a circle, but not passing through its center.
ii. Construct the radius to bisect the chord, dividing it into two equal parts.
Then it would be observed that the intersection of a chord and the radius that bisects it is at right angle. Thus, the chord and radius are are perpendicular to each other.
The construction to the question is herewith attached to this answer for more clarifications.