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SOVA2 [1]
1 year ago
15

A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The hei

ght of the cylinder is 13 and the radius is 5. Which expression represents the volume, in cubic units, of the composite figure? Pi(52)(13) – One-third pi (52)(12) Pi(52)(13) – One-third pi (52)(25) Pi(52)(13) + One-third pi (52)(12) Pi(52)(13) + One-third pi (52)(25)
Mathematics
2 answers:
igomit [66]1 year ago
7 0

Answer:

C. Pi(5^2)(13) + One-third pi (5^2)(12)

Step-by-step explanation:

ED 2020. Trust.

olchik [2.2K]1 year ago
4 0

Answer:

Pi(5^2)(13) + One-third pi (5^2)(12)

Step-by-step explanation:

trust me

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A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel
Nonamiya [84]

Answer:

Option B. 5P5 × 20P15

Step-by-step explanation:

It is very important to remember that the second grade students are sitting in the front row, therefore, it is only necessary to organize 15 first grade students in 20 seats.

Permutations allow you to calculate the number of ways in which m objects can be arranged in n positions.

The permutation of m in n is written as:

nPm

Where n is the number of elements and m are chosen.

The way in which the 5 second grade students can be organized in the 5 seats is from the first row is:

5P5

Then, the number of ways in which 15 first-year students can be organized into 20 seats is:

20P15

Then, the number of ways to organize all students on the bus is the product of both permutations

5P5 * 20P15

4 0
2 years ago
You just discovered that you have 100 feet of fencing and you have decided to make a rectangular garden. What is the largest are
Rudik [331]
The area is:
 A = x * y
 The perimeter is:
 P = 2x + 2y = 100
 We clear y:
 2y = 100-2x
 y = 50-x
 We write the area in terms of x:
 A (x) = x * (50-x)
 Rewriting:
 A (x) = 50x-x ^ 2
 Deriving:
 A '(x) = 50-2x
 We equal zero and clear x:
 50-2x = 0
 x = 50/2
 x = 25
 Then, the other dimension is given by:
 y = 50-x
 y = 50-25
 y = 25
 Therefore, the largest area is:
 A = (25) * (25)
 A = 625 feet ^ 2
 Answer:
 
the largest area you can enclose using the materials you have is:
 
A = 625 feet ^ 2
8 0
2 years ago
At Central High School, there are 48 football players and 20 cheerleaders. What is the ratio of cheerleaders to football players
Ahat [919]

Answer:

5 : 12

Step-by-step explanation:

Cheerleaders : football players

20 : 48

5 : 12

6 0
2 years ago
Read 2 more answers
What can be concluded about the graphed polygon? mc013-1.jpg The polygon is a rectangle. Adjacent sides of the polygon are perpe
Usimov [2.4K]
From the given graph, the image is a trapezoid.
Therefore,
The first option, "t<span>he polygon is a rectangle" is incorrect.
The second option "</span><span>Adjacent sides of the polygon are perpendicular." cannot be true as well because trapezoid has one the adjacent sides which is not perpendicular.
Third option" </span><span>Opposite sides of the polygon are parallel", this can't be true as well because only two sides are parallel.
Fourth option " </span><span>The slope of side c is 0.", this is true because line c is a horizontal line with zero rise and maximum run. Therefore,
Slope = 0 </span>÷ 9
<span>          = 0

</span>

5 0
2 years ago
Read 2 more answers
Andrew has a fish tank in the shape of a rectangular prism, and he needs to know the volume of water necessary to fill the tank.
Alex

Answer:

The correct option is D.

Step-by-step explanation:

Domain is the set of all posible

The volume of a rectangular prism is

V=\text{Base area}\times height

where,

\text{Base area}=length\times width

Dimensions can not be negative. So, the width and volume are always positive.

From the graph it is noticed that

In interval (-\infty, -5), width and volume is negative, so (-\infty, -5) interval is not the domain.

In interval (-5,0), width is negative, so (-5,0) interval is not the domain.

In interval (0,3), volume is negative, so (0,3) interval is not the domain.

In interval (3,\infty), width and volume is negative, so (3,\infty) interval is not the domain.

Therefore the correct option is D.

3 0
2 years ago
Read 2 more answers
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