Answer:
Step-by-step explanation:
a) r = 10/2 = 5 feet
Area of floor =πr² =3.14*5*5 = 78.5 feet²
B) h = 3 foot
Volume of cylinder = πr²h = 3.14*5*5*3 = 235.5 cubic feet
Volume of hemisphere =2/3πr³= 2*3.14*5*5*5/3=261.67 cubic feet
Volume of space inside the observatory = 497.17 cubic feet
Answer:
100°
Step-by-step explanation:
two angles are supplement .
if their sum is equal to 180°
supplement angle of 80° + x = 180°
180° - 80° = 100° answer
Let the required point be (a,b)
The distance of (a,b) from (7,-2) is
= 
But this distance needs to be betweem 50 & 60
So
Squaring all sides
2500 < (a-7)² + (b+2)² < 3600
Let a = 7
So we have
2500 < (b+2)² <3600
b+2 < 60 or b+2 > -60 => b <58 or b > -62
Also
b+2 >50 or b + 2 < -50 => b >48 or B < -52
Let us take one value of b < 58 say b = 50
So now we have the point as (7, 50)
The other point is (7,-2)
Distance between them
= 
This is between 50 & 60
Hence one point which has a distance between 50 & 60 from the point (7,-2) is (7, 50)
Answer:
34.78 feet
Step-by-step explanation:
1) using the cosine function, I did cos(43)=x/51
This is because cosine is equal to adjacent over hypotnuse
Once I found x, I used the pythagorean theorem to get 34.78 feet
The answer to this question is 10 cm
In this question, you asked the height and given the volume of water(2400cm3), aquarium length(20cm), and aquarium width(12cm).
Then you need to divide the volume with the length and width. The equation would be:
Aquarium height= volume / length / width
Aquarium height= 2400 cm3 / 20cm / 12 cm = 10cm.
