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Alex17521 [72]
3 years ago
11

Find the area of the shaded region (in the photo and step by step response please)

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0

Step-by-step explanation:

Area of shaded =Area of Outer rectangle - Area of Inner rectangle.

Area of inner rectangle = L× B.

L=18

B=11

Area of inner rectangle = 18×11

=198m^2

To find the full breadth of the outer rectangle

=2 in +11 + 2 in

=15

To find the full length of the outer rectangle

=2 in + 18 + 2 in

=22

Area= 22 × 15

Area = 330m^2

Area of shaded portion = 330 - 198

=132m^2

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larisa86 [58]

The expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

<h3>What will be the volume of the composite figure?</h3>

The volume of the composite figure will be the sum of the volume of the cube and the volume of the pyramid.

Volume of the cube = length*breadth*height

So, the volume of the cube = 8*6*4

The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)

Area of the base of the pyramid = 8*6

Height of the pyramid = total height - height of the cube

Height of the pyramid = 10-4 =6

So, the volume of the pyramid = 1/3 * 8*6*6

So, total volume = (8*6*4)+ 1/3 * (8*6*6)

Hence, the expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).

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6 0
3 years ago
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wo competing companies are having sales on projectors. Projector #MD375 has a retail price of $1,200. The Office Spot is adverti
pshichka [43]

The amount of money that is saved by purchasing the projector at Office and beyond is $144.

<h3>How much money is saved?
</h3>

The first step is to determine the price of the projector at The Office spot.

Discounted price : (1 - 0.20) x $1200

0.80 x $1200 = $960

The second step is to determine the price of the projector at the Office and Beyond.

Discounted price : (1 - 0.15) x $960 = $816

Difference in price : 960 - 816 = $144

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8 0
2 years ago
On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes throug
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The statements true about the the function f(x) = 2x2 – x – 6 are-

  • The vertex of the function is (one-quarter, negative 6 and one-eighth).
  • The function has two x-intercepts.

<h3>What is vertex of parabola?</h3>

The vertex of parabola is the point at the intersection of parabola and its line of symmetry.

Now the given function is,

f(x) = 2x^2 – x – 6

Also, it is given that the vertex is located at (0.25, -6)  and the parabola opens up, the function has two x-intercepts.

Comparing the given function with standard form,

f(x) = a x^2 bx + c

By comprison we get,

a = 2

b = -1

c = -6

Now, x-coordinate of vertex is given as,

x = -b/2a

put the values we get,

x = -(-1)/2*2

or, x = 1/4

Put the value of x in given function, so y-coordinate of the vertex is given as,

f(1/4) = 2(1/4)² - 1/4 - 6

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1 year ago
Is 7, 20, 25 a right triangle?
love history [14]

Answer:

The answer to your question is below

Step-by-step explanation:

Process

To answer if they are right triangles or not use the Pythagorean theorem which states that the square of the hypotenuse equals the sum of the square of the legs.

a)    25² = 20² + 7²

      625 = 400 + 49

     625 ≠ 449              It is not a right triangle

b)   26² = 24² + 10²

      676 = 576 + 100

      676 = 676               it is a right triangle

c)   13² = 8² + (√10)²

     169 = 64 + 10

      169 ≠ 74                 it is not a right triangle

d)   52² = 48² + 20²

      2704 = 2304 + 400

      2704 = 2704               it is a right triangle

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3 years ago
How many times does six go into forty-eight?
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6 x 8 = 48, the answer is 8, just divide 48 by 6.
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4 years ago
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