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Oduvanchick [21]
3 years ago
13

Jason is building a 1 : 180 scale model of a real castle. his model has a rectangular base that is 3 feet wide and 4 feet long.w

hat is the area of the base of the actual castle in square feet?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0
PLEASE ANSWER THIS QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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(a) What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep, if you assu
Kryger [21]

Answer:

a) 357.29 Hz

b) 535.9375 Hz

Step-by-step explanation:

v = Velocity of sound in air = 343 m/s

l = length = 24 cm

a)

l=\frac{1}{4}\lambda \\\Rightarrow \lambda=4l

f=\frac{v}{\lambda}\\\Rightarrow f=\frac{v}{4l}\\\Rightarrow f=\frac{343}{4\times 0.24}\\\Rightarrow f=357.29\ Hz

∴ Resonant frequency is 357.29 Hz

b) Here one third is filled with soda

So, length becomes l=24-\frac{24}{3}=16\ cm

f=\frac{v}{4l}\\\Rightarrow f=\frac{343}{4\times 0.16}\\\Rightarrow f=535.9375\ Hz

∴ Resonant frequency is 535.9375 Hz

6 0
4 years ago
5.
Vlada [557]

Answer: 1.26 inches

explanation :

because if you subtract 7 by 3.2 you'll get

3.8, 3.8 will be the total of rain if you add week 1 2 4 , then youll have to find the average by dividing 3.8 by 3 youll get 1.26 . so that means the average lenth of the rain for 1 2 4 is 1.26 inches

6 0
3 years ago
Solve the given quadratic equation. x^2=112
motikmotik

Answer:

x=square root of 112

Step-by-step explanation:

to solve this equation we use inverse operations so we take the square root of 112 so x = √112

4 0
3 years ago
Read 2 more answers
A new swimming pool is an 18 feet wide and 36 feet long rectangle with varying depths. If 1 cubic foot= 7.48 gallons of water, h
Blababa [14]

Answer:

gallons of water will be needed to fill the pool 19388.16 gallons

Step-by-step explanation:

given data

Length of rectangular pool = 36 feet

Width of rectangular pool = 18 feet

1 cubic foot = 7.48 gallons water

solution

we consider here Depth of rectangular pool = 4 feet

so Volume of the pool = Length × Width × Depth   ..............................1

put here value

Volume of the pool = 36 × 18 × 4

Volume of the pool = 2592 cubic feet

and

1 cubic feet = 7.48 gallons

so 2592 cubic feet will be

2592 cubic feet = 7.48 × 2592

2592 cubic feet = 19388.16 gallons

3 0
4 years ago
Find the area and peri<br>19.<br>6 ft<br>13 ft<br>A
Deffense [45]
The area would be 78.
perimeter would be  38. hope that helped
7 0
3 years ago
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