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Rudik [331]
3 years ago
14

Daniela is a stain glass artist; she created the window below for her living room. What is

Mathematics
1 answer:
OLga [1]3 years ago
3 0
The window has a shape of a semi-circle (half of a circle).

We know the diameter d = 12 ft.

The area of a (complete) circle is given by the formula:
A = π × r²

The radius can be found by halving the diameter:
r = d ÷ 2
  = 12 ÷ 2
  = 6 ft

Therefore the area of the circle will be:
<span>A = π × r²
    = 3.14 × 6</span>²
    = <span>3.14 × 36
    = 113.04 ft²

And the area of the semi-circle:
A = </span><span>113.04 </span>÷ 2
   = 56.52 ft²

Hence, the area of the window will be 56.52 ft².
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Calculate the volume and total surface area​
nikdorinn [45]

Answer:

Below.

Step-by-step explanation:

a. Volume =  area of triangular side * length

1/2 * 3 * 4 * 8

= 48 cm^3.

Surface area =  2 * area of the triangle + area of sloping side+ area of the base + area of the back side

= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8

=  12 + 40 + 24 + 32

= 108 cm^2.

b.  Volume = area of the triangular side * length

= 1/2 * 5.0 * 5..0 * 8.2

= 12.5 * 8.2

= 102.5. cm^3.

Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee

=  2 * 1/2 * 5^2 + 2 * 5 * 8.2 +  8.2 * 7.1

= 25 + 82 + 58.22

= 165.22 cm^2.

6 0
3 years ago
According to the Joy Cone Company, their waffle cones have a diameter of inches 2 3\8 and a height of 6 inches.
svetlana [45]

Answer:

so idc\sqrt[n]{x} \sqrt{x} \alpha \pi x^{2} \\ \left \{ {{y=2} \atop {x=2}} \right. x_{123} \int\limits^a_b {x} \, dx  \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]

443

Step-by-step explanation: its 2 6\7

7 0
2 years ago
This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 3/4.
belka [17]

The surface area of the image after the dilation is 219 3/8 m²

<h3>What is an area?</h3>

Area is the amount of space occupied by a two dimensional shape or object.

The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²

The surface area of the image after the dilation = scale factor² *  390 m² = (3/4)² * 390 m² = 219 3/8 m²

The surface area of the image after the dilation is 219 3/8 m²

Find out more on area at: brainly.com/question/25292087

5 0
2 years ago
What are the values of the trigonometric ratios for this triangle?
nika2105 [10]

Answer:

sin = o/h = 5/13

cos = a/h = 12/13

tan = o/a = 5/12

o - opposite

a- adjacent

h - hypotenuse

6 0
2 years ago
Please help
rewona [7]

Answer:

125.6m^2

Step-by-step explanation:

Let R be the greater radius and r be the smaller radius

Area of the sidewalk = R^2 - r^2 - This can be the expression

= 3.14

=(R^2-r^2)

=(11^2-9^2)

=(121-81)

= 40

= 3.14 x 40

5 0
2 years ago
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