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inysia [295]
3 years ago
12

The middle person in a row is the 16th, how many persons are in the row?

Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

There are 31 people in the row

Step-by-step explanation:

Let us say that the number of people in the row is = x

We can also assume that the people arranged in the row are counted from one end.

The median value can be got using the formula:

median (middle person) = (n +1 )/2

where n = number of people in the row

hence, we will have

16 = (n +1)/2

n = 32 -1 =31

Therefore, there are 31 persons in the row

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Use the figure on the Pythagorean theorem to write an equation relating H, D and x​
atroni [7]

Answer:

h² + x² = d²

Step-by-step explanation:

h and x are legs. d is the hypotenuse.

h² + x² = d²

4 0
3 years ago
-10k = 20 <br> Please help I really dont understand.
algol [13]

Answer: Divide each term by − 10  and simplify.

k = −2

6 0
3 years ago
The shaded prism below is created from the rectangular box as shown. Points A, B, and C are midpoints of their respective edges.
spayn [35]

Answer:

The volume of the prism is 1/4 of the volume of the rectangular box.

Step-by-step explanation:

The figure alluding to the exercise is required, according to the description I will attach the one that must be to be able to solve the exercise.

The first thing is that the cross sections of the prism are triangles and in addition those triangles are congruent to each other with areas equal to the area of ​​the base triangle.

By congruence we can say that the triangle has 1/4 of the area of ​​the base rectangle. We can affirm that the height of the prism is equal to the height of the rectangular box.

Now, the Cavalieri principle states that if two solids have the same height and their cross-sectional areas taken parallel and at equal distances from their bases are always equal, then they have the same volume.

now in this case the cross-sectional areas (parallel to the base) of the prism and the cross-sectional areas (parallel to the base) of the cuboid with a height equal to that of the rectangular box and the length, width of half of the sizes of the rectangular box are always the same.

Which means that the volume of the parallelepiped is 1/4 the volume of the rectangular box and thanks to this we can say that the volume of the prism is 1/4 of the volume of the rectangular box.

5 0
4 years ago
Hello I need help with this immediately please see attached image thank you so much I will give Brainliest
erma4kov [3.2K]

Note that while the figure is made up of rectangle and parallelogram, then the area of this figure

A_{figure}=A_{rectangle}+A_{parallelogram}.

1. The area of rectangle is

A_{rectangle\ ABCF}=AB\cdot BC.

The vertices of rectangle are points A(-2,-2), B(0,-6), C(8,-2) and F(6,2). Then

AB=\sqrt{(-2-0)^2+(-2+6)^2}=\sqrt{4+16}=\sqrt{20}=2\sqrt{5},\\ \\BC=\sqrt{(8-0)^2+(-2+6)^2}=\sqrt{64+16}=\sqrt{80}=4\sqrt{5}.

Therefore,

A_{rectangle\ ABCF}=2\sqrt{5}\cdot 4\sqrt{5}=8\cdot 5=40\ un.^2

2. The area of parallelogram can be calculated using formula

A_{parallelogram\ FCDE}=\text{base}\cdot \text{height}.

The base of parallelogram is segment CD with length

CD=\sqrt{(8-8)^2+(3+2)^2}=\sqrt{25}=5

and the height has length 2 un. Then

A_{parallelogram\ FCDE}=5\cdot 2=10\ un^2.

3. Now

A_{figure}=40+10=50\ un.^2

8 0
3 years ago
I need someone to help me with my algebra homework :(
GrogVix [38]

Answer:

ok, what grade level? and you need to actually type the questions into here

4 0
3 years ago
Read 2 more answers
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