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vazorg [7]
3 years ago
7

A regular 7 sided figure is divided into 7 congruent triangles ,each with a base of 12 inches and a height of 12.5 inches. What

is the area of the 7 sided figure.
Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
4 0
You must apply the following formula to calculate the area a triangle:

 A=bxh/2

 b=12 inches (the base of the triangle)
 h=12.5 inches (the height of the triangle)

 When you substitute these values into the formula, you obtain:

 A=bxh/2
 A=(12 inches)(12.5 inches)/2
 A=75 inches²
<span>
 You already have the area of one triangle. So, you only have to multiply this area by 7, because the seven (7) triangles are congruent, which means that they have the same area:
</span>
 At=Ax7
 At=(75 inches²)(7)
 At=525 inches²
<span>
 What is the area of the 7 sided figure?
</span>
 The answer is: 525 inches²
Elza [17]3 years ago
4 0

Answer:

Step-by-step explanation:

I did (1/2 divided by 12) and then I got 6 so I times it with 12.5 and got 75 then I times it by 7 to get 525

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How far is a 10% of a 2000 kilometer trip
Dmitry_Shevchenko [17]

Answer:

answer:

10 2000

1x200=

200

Step-by-step explanation:

hope that helps

4 0
3 years ago
Read 2 more answers
Find the sum. r/r^2-q^2 + 5/r+q​
pickupchik [31]

Answer:

The answer is:  

\frac{6r-5q}{r^2-q^2}

which agrees with the last answer option (D) in the list.

Step-by-step explanation:

In order to add rational expressions, we need to express them with the same denominator. Therefore we examine what factors there are in the first denominator, which happens to be a difference of squares which is readily factored out as:

r^2-q^2=(r+q)\,(r-q)

the second denominator consists of only one of these factors: (r+q), then in order to express both rational expressions with the same common denominator, we multiply numerator and denominator of the second fraction by the factor: (r-q)

Then we get two expressions that can be easily added as shown below:

\frac{r}{(r+q)\,(r-q)} +\frac{5\,(r-q)}{(r+q)\,(r-q)} =\frac{r+5(r-q)}{(r+q)(r-q)} =\frac{r+5r-5q}{(r+q)\,(r-q)} =\frac{6r-5q}{r^2-q^2}

7 0
3 years ago
The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.
erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>
  • Let the coordinate of A be (x_1,y_1) is (2,7) respectively
  • Let the coordinate of B be (x_2,y_2)
  • And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
  • The mid-point formula is
<h3>M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})</h3>
  • Now substitute the coordinates int he above formula we get
  • (4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})
  • Now equating we get

4=\frac{2+x_2}{2}                    2=\frac{7+y_2}{2}

Multiply by 2 we get                             Multiply by 2 we get  

4(2)=2+x_2                                           2(2)=7+y_2

8=2+x_2                                                4=7+y_2

Subtracting 2 on both

the sides                                    Subtracting 7 on both the sides

8-2=2+x_2-2                                4-7=7+y_2-7

6=x_2                                                       -3=y_2

Rewritting the above equation      Rewritting the equation

x_2=6                                                      y_2=-3

<h3>Therefore the coordinate of B(x_2,y_2) is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0
4 years ago
Lanie’s room is in the shape of a parallelogram.
belka [17]

Answer:

590

Step-by-step explanation:

Hope it’s correct

4 0
3 years ago
3x+1/10=x-1/7 what is x explain how you got the answer please do a step by step solution
polet [3.4K]
Ok, to solve an algebraic equation we need to get the unknown by itself on one side of the equals sign.  To do that, basically we just have to cancel everything else out... but whatever we do to cancel out what we don't want, we also have to do on the other side of the equals sign...

3x + 1/10 = x - 1/7

Let's start by getting the x on the right over to the left side.  To cancel it from the right side we have to subtract it (x-x = 0).  Don't forget to subtract it on the left also.

3x -x + 1/10 = x - x - 1/7

Now combine like terms

2x + 1/10 = -1/7

Now let's bring the 1/10 over to the right of the equals sign to get x by itself by subtracting it.

2x + 1/10 - 1/10 = -1/7 - 1/10
 
Combine like terms

2x = -1/7 - 1/10

Let's get a common denominator so we can combine the fractions

2x = -10/70 - 7/70
2x = -17/70

Now divide both sides by 2 to finish getting x by itself.  To divide fractions, multiply the reciprocal.

x = -17/70 x 1/2
x = -17/140


6 0
4 years ago
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