Part A:
Given that Rachel is planning a wedding for 100 to 250 people, the <span>inequality in terms of p people that describes how many people Rachel plans to invite is given by:
100 ≤ p ≤ 250
Part B:
Given that the </span>caterer charges $20 per person, plus a flat fee of $200,<span> the </span><span>inequality that shows how much the caterer will charge in terms of p is given by:
20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200
</span>
Part C:
<span>The range of catering fees (C) that Rachel is considering is given by:
</span><span>20(100) + 200 ≤ 20p + 200 ≤ 20(250) + 200
2000 + 200 ≤ C ≤ 5000 + 200
2200 ≤ C ≤ 5200
Therefore, the range of catering fees Racheal is considering is from $2,200 to $5,200
</span>
Answer:
x = 29
Step-by-step explanation:
Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.
Therefore:
m<CAB = m<CDE = 74°
m<ABC = 2x (given)
m<BCA = 48° (given)
Thus:
m<CAB + m<ABC + m<BCA = 180° (sum of triangle)
Substitute
74 + 2x + 48 = 180
Add like terms
2x + 122 = 180
2x + 122 - 122 = 180 - 122
2x = 58
2x/2 = 58/2
x = 29
Answer:
0
Step-by-step explanation:
h(t) = (t + 3)² + 5, -5 ≤ t ≤ -1
The average rate of change is the change in h over the change in t.
(h(-1) − h(-5)) / (-1 − (-5))
= ((-1 + 3)² + 5 − ((-5 + 3)² + 5)) / (-1 + 5)
= (4 + 5 − 4 − 5)) / 4
= 0
The complete question in the attached figure
we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³
[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³
[volume of a the composite figure]=[volume of a cone]+[volume of a a triangular prism]
[volume of a the composite figure]=[715]+[2750]-------> 3465 units³
the answer is
The volume of a the composite figure is 3465 units³