Answer:
see below
Step-by-step explanation:
Let's add the amounts earned together to find his total earnings. This is 60 + 84 + 72 + 96 + 48 = $360. If he had $218 left over the skis cost 360 - 218 = $142.
11.5 kilograms
3.5kilo - 15kilo = 11.5kilo she can carry in luggage
Answer:
Step-by-step explanation:
Use the Law of Cosines
A = arccos[(10²+14²-9.6²)/(2×10×14) ≅ 43.3°
Answer:
The radius of the water bottle is 2.72cm
Step-by-step explanation:
In this question, we are concerned with calculating what the radius of the cylindrical water bottle is given its volume and height.
Mathematically, the volume of a cylinder is V = pi * r^2 * h
From the question, we know that V = 179 cm^3. , h = 7.7cm while r = ?
we substitute these values into the volume equation.
179 = pi * r^2 * 7.7
179 = 3.14 * r^2 * 7.7
179 = 24.178 * r^2
r^2 = 179/24.178
r^2 = 7.403
r = square root 7.403
r = 2.72 cm
The complete proof statement and reason for the required proof is as follows:
Statement Reason
m<PNO = 45 Given
MO Given
<MNP and <PNO are a
linear pair of angles Definition of linear pairs of angles
<MNP and <PNO are
supplementary angles Linear Pair Postulate
m<MNP + m<PNO = 180° Definition of supplementary angles
m<MNP + 45° = 180° Substitution property of equality
m<MNP = 135° Subtraction property of equality
