Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
Number of containers for 2 litres of water = 1
So, number of containers for 1 litre of water = ½
So, number of containers for 30 litres of water
= ½ × 30
= 30/2
= 15
So, 15 of these containers would be needed to fill a 30-liter drum.
Sum of 5 times z and 4 divided by two is 7.
Answer:
D. 
Step-by-step explanation:
Since we know that the odds of an events can be found by dividing the probability that an event will occur by the probability that the event will not occur.
Probability of an event not occurring can be found by subtracting probability of the event occurring from 1.
We have been given that probability of an event is 2/7.
Upon substituting our given values in above formula we will get,
Therefore, the odds of the same event are and option D is the correct choice.
Let m be the slope:
m=(y₂-y₁)/(x₂-x₁)
solve for c:
1/6=(9-c)/(1-7)
1/6=(9-c)/-6
-1=9-c
-10=-c
c=10
