Answer:
The first can.
Step-by-step explanation:
formula: Pi x diameter x height
1st can has a volume of 113.10
2nd can has a volume of 75.40
Answer:
Step-by-step explanation:
1)3.14.16
2)78.54
3)12.57
4)346.36
5)72.38
6)i don't know sorry but this is better than no answer
a. Let us say that c(x) is the cost of one t shirt based
on the number of increases therefore:
c = 10 + x
b. Say that t(x) is the number of t shirts sold based on
the number of increases so:
t = 2500 – 100 x
b. The revenue is simply the product:
r(x) = (10 + x) (2500 – 100 x)
Combining:
r(x) = 25000 – 1000 x + 2500 x – 100 x^2
r(x) = 25000 + 1500 x – 100 x^2
Taking the 1st derivative and setting dr / dx
= 0 to get the maxima:
dr / dx = 1500 – 200 x
1500 = 200 x
x = 7.5
t = 2500 – 100 x = 2500 – 100 (7.5) = 1750
Hence 1750 shirts should be sold.
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Answer:
Step-by-step explanation:
12.
Statements:
1. RS bistecs PQ at T; PQ bisects RS at T.
2. RT is congruent to ST; PT is congruent to QT.
3. Angle T is congruent to angle T.
4. Triangle PTS is congruent to triangle QTR.
Reasons:
1. Given.
2. Definition of a bisector of a line segment.
3. Reflexive Property.
4. SAS Postulate
13.
Statements:
1. AB is congruent to AD; AC bisects angle BAD.
2. Angle BAC is congruent to angle DAC.
3. AC is congruent to AC.
4. Triangle ABC is congruent to triangle ADC.
Reasons:
1. Given.
2. Definition of a bisector of an angle.
3. Reflexive Property.
4. SAS Postulate.
To determine the perimeter of the trapezoid, we just have to determine the distance between the pair of points which can be calculated through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting,
(1,4) and (-2,0) d = √(1 - -2)² + (4 - 0)² = 5
(-2,0) and (7,0) d= √(-2 - 7)² + (0 - 0)² = 9
(7,0) and (3,4) d = √(7 - 3)² + (0 - 4)² = 5.66
(3,4) and (1,4) d = √(3 - 1)² + (0 - 0)² = 2
The perimeter is the sum of the distances. Thus, the answer is 21.66.