Answer:
approximately 21, when rounded to nearest tenth.
Step-by-step explanation:
First, let's find the measure of angle BAD. Angles BAD and DAC add up to 180 degrees, so 180-57= 123 degrees. Now, let's find the circumference of the circle. The circumference is diameter * π, which is 19.6(π). Then, the ratio is 123/360, so multiply 19.6(π) by 123/360, and you get 21.0381988...... which simplifies to 21 (rounded to nearest tenth)
The weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.
<h3>What is a rectangular prism?</h3>
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
The dimensions of a living room are 18 ft. by 15 ft. by 8ft.
The volume of the living room = volume of the cuboid:
V = length×width×height
V = 18×15×8
V = 2160 cubic ft
The weight of the air = 0.08 lb. per cubic foot
The weight of the air in the room = 0.08×2160
The weight of the air in the room = 172.8 lb
Thus, the weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.
Learn more about the rectangular prism here:
brainly.com/question/21308574
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Escribir la ecuación estándar de un círculo. Dado un círculo en el plano coordenado, Sal encuentra su ecuación estándar, que es una ecuación de la forma (x-a)²+(y-b)²=r².
Answer:
y=1/2x+1
Step-by-step explanation:
First use slope formula.
Plug in the information needed.
The slope is 
.
Now, use point-slope formula.
y-y1=m(x-x1)
Plug in the information needed.
y-3=1/2(x-4)
y-3=1/2x-2
y=1/2x+1
The equation of the line in slope-intercept form is y=1/2x+1.
Hope this helps!
If not, I am sorry.
