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irakobra [83]
2 years ago
13

Polygon ABCD is a rectangle. What is its area? Round your answer to the

Mathematics
1 answer:
galben [10]2 years ago
5 0

9514 1404 393

Answer:

  26 square units

Step-by-step explanation:

Counting grid squares on the graph, we see that segment AB is the hypotenuse of a right triangle with legs 2 and 3. Its length is ...

  AB = √(2²+3²) = √13

We can also see that the adjacent longer sides are twice this length, each being the hypotenuse of a triangle that is 6 wide and 4 high.

  AC = √(6² +4²) = √52 = 2√13

Then the area is ...

  A = LW

  A = (2√13)(√13) = 2·13 = 26 . . . square units

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a person in a whispering gallery standing at one focus of the ellipse can whisper and be heard by a person standing at the other
Lynna [10]

The Height of the ceiling at the center is  57.6628 feet

In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base.

It has two focal points. The sum of the two distances to the focal point, for all the points in curve, is always constant.

The General form of ellipse is \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1

According to the question,

Length of whispering gallery is 130 feet

The foci are located 30feet from the center (0,0)

So, 2a = 130

=> a = 130/2

=> a = 65

and c = 30

As we know ,

=> c² = a² - b²

=> (30)² = (65)² - b²

=> 900 = 4225 - b²

=> b² = 4225 - 900

=> b² = 3325

=> b = 57.7 feet

Therefore , the height of the ceiling at the center is 57.6628 feet

To know more about Ellipse here

brainly.com/question/19507943

#SPJ4

7 0
9 months ago
Jayne is making a patchwork quilt. She is following a pattern for a triangular section but only knows the measurements shown. Wh
Novosadov [1.4K]

Answer:

20.0

Step-by-step explanation:

4 0
3 years ago
The maximum speed of a car is 252 km/h change this speed into meters per second
IRISSAK [1]

Answer:

70.0000000001 meters per second

Step-by-step explanation:

The formula is to multiply by the factor 0.27777777777817.

252 km/h * 0.27777777777817 = 70.0000000001

4 0
3 years ago
What is the property of equality for AM = AM
Andrew [12]

Answer:

Reflexive

Step-by-step explanation:

When a=a, it is called the reflexive property

a=b then b=a is the symmetric property

a=b b=c then a=c is the transitive property

7 0
2 years ago
In ΔABC, what is the measure of angle B?
DiKsa [7]
This theorem says that the exterior angle is equal to the sum of its remote interior angles.  In other words, 140 = 2x + x + 2.  140 = 3x + 2 and 138 = 3x.  Therefore, x = 46. Multiply it by 2 to get angle B is 92 degrees.
6 0
3 years ago
Read 2 more answers
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