Answer:
The answers to the questions are
a) The average number of coconut palms on the randomly chosen side is 49.5 coconut palms
b) The projected number of palms on the entire farm is 3168 coconut palms.
Step-by-step explanation:
(a) The average is given by ∑fx/∑f = (∑x)/n
The sum of the number of coconut palms in the random sample of 10 acres is as follows
∑x = 56+43+62+63+33+34+38+51+59+56 = 495
n = 10
Therefore the average = 495/10 = 49.5 palm tree per acres
The average number of palm tree per acre = 49.5 palm tree
b) To project the number of coconut palms on the entire farm, we note that the average palm tree per acre = 49.5 coconut palms
Number of acres = 64
∴ Projected number of coconut palms in the farm = (Average number of palm tree per acre) × (Number of acres in the farm)
= 64 × 49.5 = 3168 coconut palms.
Answer:
17) x = 58.1 units
18) x = 17 units
Step-by-step explanation:
The concept of similar triangles will be applied.
It is evident that the AAA congruence property is responsible for the similarity of the two triangles in the 2 cases. The theorem is
- Triangles are similar if the measure of all three interior angles in one triangle are the same as the corresponding angles in the other.
So, the corresponding sides from the two triangles can be written as a ratio of one another
17)
The most obvious tell here is the largest angle in the two triangles, the sides directly opposite this angle in the two triangles can be written in a ratio such that
(95.2/13.6) = 7
indicating that the bigger triangle is exactly 7 times the smaller one.
So,
(95.2/13.6) = (53.2/7.6) = (x/8.3) = 7
x = 7 × 8.3 = 58.1
18)
The obvious tell here is the smallest common angle for the two triangles, the two other corresponding sides can then be written in a ratio, matching the bigger side in the two triangles to each other.
(39.5/7.9) = (37.5/7.5) = (x/3.4)
(x/3.4) = 5 (Indicating thay the bigger triangle is 5 times bigger than the smaller one.
x = 3.4 × 5 = 17 units.
Hope this Helps!!!
Yeskcpowp kecksowofi h wncksorigud meocosuebd wkxos
There are 700 millilitres in 0.7 litres<span />
Angles 2 and 6 are corresponding angles.
When parallel lines are cut by a transversal, corresponding angles are congruent, so angles 2 and 6 are congruent.
m<2 = m<6 = 64 deg.
Angles 5 and 6 are a linear pair, so they are supplementary, and their measures add to 180 deg.
m<5 + m<6 = 180
m<5 + 64 = 180
m<5 = 180 - 64
m<5 = 116
Answer: m<5 = 116 deg.
