Answer:
y = 
x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
=
The line crosses the y- axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation of line
The relationship between the 6's in 7,664 is that it can be 600 and 60.
Part a:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
Thus, the circumference of the circle = Length of the arc formed by angle </span>θ = 9π/5 at the center which is given by
Part b:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.
</span>Recall that the circumference of a circle is given by
and having obtained from part a that the circumference of the circular opening is
cm.
Thus,
Part c:
The height of the cup can be obtained by noticing that the radius, height and the slant height of the cup forms a right triangle with the height and the radius as the legs and the slant height as the hypothenus.
Using pythagoras theorem, the height of the cup is obtained as follows:
where: h is the height, r is the radius and l is the slant height.
Part d
Recall that the volume of a cone is given by
Thus, the volume of the cup is given by
To answer this question, it is easier to make a list of the repair cost based on the hour of labor. The first hour is $45 then after that $25/hour. Then the list would look like
0-1 h= $45
1-2h= $70 ($45 +1*$25)
2-3h= $95 ($45 +2*$25)
3-4h= $120 ($45 +3*$25)
Looking at the list, the answer should be
<span>B. C(t) = 95 for 2 < x ≤ 3</span>
Answer:
90 degree
Step-by-step explanation:
Let represent the measure of the third angle. Then, − can represent the measure of the second angle. The
sum of the two angles in the right triangle will be °.
− + =
− =
− + = +
=
=
=
The third angle is and therefore measures °. Replacing with in − gives () − = − = .
Therefore, the measure of the second angle is °. The measure of the third angle is °.
