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lana [24]
3 years ago
10

Find the area of the figure.

Mathematics
2 answers:
Alenkinab [10]3 years ago
6 0

Answer:

24 units

Step-by-step explanation:

In this problem, the area of this shape is measured in units.

1 unit = 1 little square

So, lets count all of the full squares. There are 20 of them.

Now lets count all of the half squares. There are 8 half squares.

Now, if we divide 8 over 2, we get 4 full units.

Now we just add up the units: 20 + 4 = 24 units

Hope this helps!

Taya2010 [7]3 years ago
5 0

Answer:

24 (units)

Step-by-step explanation:

We can separate the shape into three parts. A triangle on top, rectangle in the middle, and a trapezoid on the bottom. Work out the area of the rectangle first, as it is simplest (l*w=a) (4*2=8). Then figure out the area of the triangle with the formula (b*h/2=a) (4*2/2=4). Lastly, the trapezoid. There are multiple different ways to calculate the area of a trapezoid, but I use this formula...

(l*w) (8*2=16) minus the two triangles cut out from the side (Remember, the formula for a triangle is b*h/2=a. So the triangles would be put together like this: 2*2/2*2, or, put simply, 4.) Put together, it would look like (16-4=12). Simple, really.

Mash all the numbers together (8+4+12=24) and there's your answer!

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A circular opening of an ice cream cone has a diameter of 23 centimeters. The height of the cone is 17 centimeters, what is the
Ahat [919]

Answer:2355.31\ cm^3

Step-by-step explanation:

Given

diameter of the cone is  d=23\ cm\quad [r=\frac{d}{2}=11.5\ cm]

The height of the cone is  h=17\ cm

The volume of a cone is  V=\dfrac{1}{3}\pi r^2h

Insert the values

\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 11.5^2\times 17=2355.309\\\\\Rightarrow V\approx 2355.31\ cm^3

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3 years ago
Is line AB tangent to the circle
Solnce55 [7]

no it is not a tangent

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to check if its a right angled triangle, you can use pythagoras.

\sqrt{ {7.5}^{2}  +  {16}^{2} }  = 17.67059...

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P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7) Using the information above, answer the following questions. Find the length of RS Find th
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Answer:

Yes the Quadrilateral is a Parallelogram.

Step-by-step explanation:

A parallelogram can be defined as a quadrilateral i.e a geometric shape with four sides that has opposite sides parallel and equal in length.

From the question, we are given the following points

P(2, 2), Q(1, -3), R(-4, 2), S(-3, 7)

Given points: (x1, y1) and (x2, y2)

The formula would be

√(x2 - x1)² +(y2 - y1)²

a) P(2, 2), Q(1, -3)

Length PQ = √(1 - 2)² +(-3 - 2)² = √-1² + -5² = √26

b) R(-4, 2), S(-3, 7)

Length RS = √(-3 - (-4))² + (7 - 2) ² = √ 1² + 5² = √26

c) R(-4, 2), Q(1, -3)

Length RQ = √(1 - (-4))² + (-3 - 2)² = √5² + 5² = √(25 + 25) = √50

d) S(-3, 7), P(2, 2)

Length SP = √(2 - (-3))² + (2 - 7)² = √5² +(-5)² = √(25 + 25) = √50

From the above solution, we can see that

Length PQ = Length RS

Length RQ = Length SP

This means the opposite sides are parallel and equal in length, hence it is a Parallelogram.

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