Answer:
2 4/15 pints
Step-by-step explanation:
Caden has 3 2/3 pints of water in a pitcher.
He has 1 2/5 pints of water left in the pitcher.
The amount of water he poured is calculated as
3 2/3 - 1 2/5
3 - 1 + (2/3 - 2/5)
Lowest Common Denominator is 15
2 + (5 × 2 - 3×2/15)
2 + (10 - 6/15)
2 + (4/15)
= 2 4/15 pints
He poured 2 1/15 pints of water.
Answer:
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Step-by-step explanation:
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Answer:
Q1 -64 Q2 6
Step-by-step explanation:
-4*-4*-4 =-64
so -4^3 = -64
6^1=6
Answer:
Step-by-step explanation:
We would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
JK² = JL² + KL² - 2(JL × KL)Cos10
JK² = 61² + 53² - 2(61 × 53)Cos10
JK² = 3721 + 2809 - 6466Cos10
JK² = 6530 - 6367.767
JK² = 162.233
Taking square root of both sides of the equation, it becomes
JK = √162.233
JK = 12.73 to the nearest tenth
Answer:
<h2>a)
483.6cm²</h2><h2>b)
850.1 cm³</h2>
Step-by-step explanation:
Given the slant height 's' and its radius 'r' to be 15cm and 8cm respectively.
the total surface of the cone A = πrs+πr² and the volume is expressed as
V = 1/3πr²h
For the surface area of the cone;
Given parameters
radius = 8 cm and slant height s = 15 cm
Total surface area A = π(8)(15) + π(8)²
A = 90π+64π
A = 154π
If π = 3.14
A = 154(3.14)
A = 483.56cm²
A = 483.6cm²
Hence the total surface area of the cone to the nearest tenth is 483.6cm²
For the volume of the cone;
V = 1/3πr²h
Using pythagoras theorem to get the height of the cone;
l² = h²+r²
h² = l²-r²
h² = 15²-8²
h² = 225-64
h² = 161
h = √161
h = 12.69cm
V = 1/3π* (8)² * 12.69
V = 1/3π* 64 * 12.69
V = 1/3*3.14* 64 * 12.69
V = 2550.1824/3
V = 850.06 cm³
V = 850.1 cm³
Hence, the volume of the cone is 850.1 cm³ to the nearest tenth.
