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2 years ago

Find the area of the figure shown in the diagram to the nearest hundredth. Help pliss

Mathematics

2 answers:

saw5 [17]2 years ago

4 0

Answer:

41.13m

Step-by-step explanation:

To find the area of a circle, use A= πr²

A(of circle) = π * 4²

A(of circle) = π * 16

A(of circle) ≈ 50.2655

Because you only have 2 quarters of a circle, you multiply it by 2/4

A(of 2/4 circle) ≈ 25.13275

A of rectangle = l * w

A(of rectangle) = 4 * 4

A(of rectangle) = 16

16+25.13275 = 41.13275

or 41.13

denis23 [38]2 years ago

3 0

Answer:

41.13 sq m

Step-by-step explanation:

area of square = 4² = 16

there are two quarter-circles which equals one semicircle

area of semi-circle is πr²/2

A = 4²π/2 = 8π = 25.13

add together: 16 + 25.13 = 41.13

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The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy

Brut [27]

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

6 0

3 years ago

1.2) Q5.) The graph is a transformation of one of the basic functions. Find the equation that defines the function.

Yuri [45]

The graph starts at around x = 0. At x = 0, the graph's y-value is 2. There are no x-values that are less than 0.

The graph crosses the following points: (1,1); (4,0); (9, -1)

The distance between each y-value is exponentially increasing, as the slope of the graph is slowly decreasing as x approaches infinity.

Based on this information, we can say that this graph is a transformation of the base function, y = √x

To determine the transformations made, we need to compare the graph to the original base function (attached below).

The basic function starts at 0, and has a positive slope. It reaches the points (1,1); (4,2); and (9,3).

The graph in the question shows the function start at 2, and the negative slope reaching the points mentioned earlier in the answer.

Based on this information, we can conclude that y = -√x + 2.

6 0

3 years ago

In the Volume of Cylinders, Cones and Spheres section, what is the volume of a sphere with a radius of 6in? *

Rudiy27

Answer:

The volume of the sphere is 288π in³

Step-by-step explanation:

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius

V = ⁴⁄₃πr³

V = ⁴⁄₃ * π * (6in)³

V = π * ⁴⁄₃ * 216 in³

V = 288π in³

The volume of the sphere is 288π in³

4 0

3 years ago

Joe has 4/5 as much money as bob. Tim has $50 more than joe. Rita has $150, which is $35 more than bob. How much money does tim

lesantik [10]

Rita = $150

Bob = $150 - $35 = $115 Bob has $115

Joe = $115 divided by 5 = $23 $23 x 4 = $92 Joe Has $92

Tim = Has $50 more then joe, $92 + $50 = $142 Tim has $142

3 0

3 years ago

What is the volume of a rectangular prism which is 4.25 inches length, 3.75 inches width and 10 ½ inches height? You must show y

pav-90 [236]

The volume would be 167.344 cubic inches because 4.25 times 3.75 times 10.5 or 10 1/2 is 167.34375 but you would round so your answer would be 167.344 cubic inches.

8 0

3 years ago