Answer:
5 centimetres = 1 kilometre
Step-by-step explanation:
First add up the distances measured on the map.
1.1+4.8+2.2+3.4=11.5 cm
Based on this, since the number of cm is greater than the number of km, we can figure out that each cm should not be multiplied to get the km, so we can eliminate the first two answers.
Next write an equation to represent finding the scale
x=scale
11.5=2.3x
Now solve for the scale
11.5/2.3=2.3x/2.3
5=x
Therefore the scale is 5 centimetres = 1 kilometre
Answer: 11 kg
Step-by-step explanation:
Given
Shelia buys 33 kg of rice and 9 kg of cornmeal
The amount of flour bought is one-third of the amount of rice bought
The amount of flour is
We will use a combination formula to determine how many ways the prizes could be given out.
In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.
The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.
The formulas nCk is popularly known as counting formula.
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Answer:
Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h
Step-by-step explanation:
If we take speed (velocity) of the boat as V₁ and speed of the current V₂
Let us form equations:
Traveling down the current V₁ + V₂ = 60/3 = 20 km/h
Traveling against the current V₁ - V₂ = 60/5 = 12 km/h
V₁ - V₂ = 12
V₁ + V₂ = 20
If we add up the left and right sides of the equations we get:
2 V₁ = 32 => V₁ = 32/2 = 16 km/h
from the second equation we get:
V₂ = 20 - V₁ = 20 - 16 = 4 km/h
V₂ = 4 km/h
God is with you!!!
∠G is the shortest
Step-by-step explanation:
Given is a ΔFGH
FG = 8.7
FH = 4.5
GH = 6.1
The triangle will be formed with three angles
F, G and H
"The side opposite to the largest angle of the triangle is the largest"
Similarly, The side opposite to the shortest angle is the shortest.
Converse of this postulate will be:
The interior angle opposite to the shortest side of the triangle is the smallest.
The triangle formed is attached in the form of a picture.
The angle opposite to FH will be the shortest.
Hence,
∠G is the shortest
Keywords: Angles, triangles
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