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Elenna [48]
2 years ago
7

Find the area of the shape shown below.

Mathematics
2 answers:
Elena-2011 [213]2 years ago
8 0

Answer:

31 1/2

Step-by-step explanation:

You find the area for the triangle on top and the rectangle on the bottom. In order to find the area of the triangle, multiply 7 and 3. Then divide the product which is 21 by 2. So the area of the triangle is 21/2 which could also be written as 10 1/2. Next, you find the area of the rectangle which is 7x3. You get 21. Finally, you add the two areas to get 31 1/2. It could also be written as 63/2 or 31.5

Liula [17]2 years ago
3 0

Answer:

31.5

Step-by-step explanation:

We can add the areas together

We have a rectangle and a triangle

The area of the rectangle is

A = lw

   = 7*3

   = 21

The area of the triangle is

A = 1/2 bh

   = 1/2 (7)*3

   = 21/2

   = 10.5

Add them together

A = 21 + 10.5

   =31.5

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Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for t
nydimaria [60]

Let

l------> the length side of the rectangle

w----> the width side of a rectangle

b----> the base of the triangle

h----> the height of the triangle

we know that

the area of the yard is equal to

A=lw+0.5bh

Solve for b------> ( that means clear variable b)

Subtract lw both sides

A-lw=lw+0.5bh-lw

A-lw=0.5bh

Divide by 0.5h both sides

(A-lw)/(0.5h)=0.5bh/(0.5h)

b=(A-lw)/(0.5h)

therefore

<u>the answer is the option B</u>

The quantity A minus l times w all divided by 0.5 times h


8 0
2 years ago
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Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened
jeyben [28]

Solution:

Consider the Given Isosceles Triangle

Considering the Possibilities

Case 1. When two equal angles are of 70°

 Let the third angle be x.

Keeping in mind , that sum of Interior angles of Triangle is 180°.

70° + 70° + x= 180°

140° +x= 180°

x= 180°- 140°

x= 40°

Case 2:

When an angle measures 70°, and two equal angles measure x°.

Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.

70° + x° + x° = 180°

⇒  70° + 2 x° = 180°

⇒ 2 x° = 180° -  70°

⇒ 2 x° = 110°

Dividing both sides by 2, we get

x= 55°


5 0
1 year ago
Lincoln Middle School has a total of $200 to spend on notebooks and tablets for the school board meeting. Notebooks cost $7 each
Anton [14]
The school can buy fifteen notebooks and nineteen tablets.  15X7=105 and 5X19=95.  95+105=200.  The first thing you want to do is realize that 5Xanything will give you an answer that has a 0 or a five at the end, so you want to find a product by 7 that ends with a 0 or 5 too.
4 0
2 years ago
The quotient of 38 times a number and -4
nikdorinn [45]

Answer:

140y

Step-by-step explanation:

35 times a number times -4 is 35×y×(-4) which is -140y

4 0
1 year ago
Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto
Genrish500 [490]

The similarities are;

  • Compass and a straight edge required for both construction
  • Both construction includes a line drawn from the intersection of arcs to bisect a segment or an angle
  • The bases for the construction of both bisector are the ends of segment and the angle to be bisected
  • The width of the compass when drawing intersecting arcs, is more than half the width of the segment or angle being bisected

The differences are;

  • Two points of intersection of arcs are used in the segment bisector while only one is requited in an angle bisector
  • The bisecting line crosses the segment in a segment bisector, while it stops at the vertex of the angle being bisected in an angle bisector

The sources of the above equations are as follows;

The steps to construct a segment bisector are;

  • Place the needle of the compass at one of the ends of the line segment to be bisected
  • Widen the compass so as to extend more than half of the length of the segment to be bisected
  • Draw two arcs, one above, and the other below the line
  • Place the compass needle at the other end and with the same compass width draw arcs that intersects with the arcs drawn in the above step
  • Draw a line segment by placing the ruler on the points of intersection of the arcs above and below the line

The steps to construct an angle bisector are;

  • With the compass needle at the vertex, open the pencil end such that arcs can be drawn on the rays (lines) forming the angle
  • Draw an arc on both lines forming the angle
  • Place the compass needle at one of the intersection points and draw an arc in between the lines forming the angle
  • Repeat the above step with the same compass width from the other intersection point with the rays forming the angle
  • Join the point of intersection of the two arcs to the vertex of the angle to bisect the angle

Therefore, we have;

The similarities are;

  • A compass and a straight edge can be used for both construction
  • A straight line is drawn from the point of intersection of arcs to bisect the segment or the angle
  • The arcs are drawn from the ends of the segment or angle to be bisected
  • The width of the compass is more than half the width of the line or angle when drawing the arcs

The differences are;

  • In a segment bisector, the intersection point is above and below the line, while in an angle bisector only one pair of arcs are drawn to intersect above the line
  • The bisecting line passes through the segment being bisected, while the line stops at the vertex in an angle bisector

Learn more about the construction of segment and angle bisectors here;

brainly.com/question/17335869

brainly.com/question/12028523

7 0
1 year ago
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