Answer:
22608cm³
Step-by-step explanation:
Step 1
We find how many liters of water can be contained in 1 cup. We do this by finding the volume of the cup.
Cup is shaped as a cone
The volume of a cone = πr²h/3
Where
r = radius = 4cm
h = height = 9cm
π = 3.14
Hence,
Volume of the cone (cup) =
3.14 × 4² × 9/3
= 150.72 cm³
How much water is needed to fill 150 cups?
1 cup = 150.72 cm³ of water
150 cups = x
Cross Multiply
x = 150 × 150.72 cm³
x = 22608 cm³ of water
Therefore, 22608cm³ of water is needed to fill 150 cups
Answer:Given : A triangle has sides of length 7 cm, 12 cm, and 15 cm .
To find :Angle opposite the side that is 7 cm long? Round to the nearest degree.
Solution : We have a triangle of sides a=7 cm, b= 12 cm, c=15 cm.
By using cosine rule : a² = b²+c²- 2 bc cos(A).
Where angle A is opposite to side a=7 cm.
Plugging the values in formula ,
(7)² = (12)²+ (15)²- 2(12)(15) cos(A).
49 = 144 + 225 - 360 cos(A).
49 = 369 - 360 cos(A) .
-320 = - 360 cos(A) .
On dividing by - 360 and switching side
A = cos^{-1}(0.89) = 27 \ degrees .
Therefore, angle opposite the side that is 7 cm is 27 degrees.
1. 3; 2. 12; 3. 5; 4. 13; 5. 10; 6. 10
We can use the distance formula to calculate the lengths of the line segments.
1. A (1,5), B (4,5) (red)
2. A (2,-5), B (2,7) (blue)
3. A (3,1), B (-1,4 ) (green)
4. A (-2,-5), B (3,7) (orange)
5. A (5,4), B (-3,-2) (purple)
6. A (1,-8), B (-5,0) (black)