The answers are as follows:
1. Triangles are often used to build different types of support structures because of its beneficial properties. Triangles is rigid in shape and it has strength. When force is applied to the side of a triangle, it can not shift into another shape, this is because its sides and angles are fixed.
2. The properties of triangle that make it a desirable geometric shape for building support structures is its fixed sides, fixed angles, rigidity and strength. Triangles are the strongest shapes and they are stable. Thus, triangle can be easily fix together to provide strength and stability over a wide area.
3. There are different types of triangles, these include: equilateral triangle, scalene, isosceles, right triangle, obtuse and acute. Of all these triangles, the best triangle is equilateral triangle.
4. Triangle is preferred over other types of polygon because, it is the strongest. The other polygons can be bent into different other forms that are not regular polygon, but a triangle always retains its shape and can not be deformed.
Answer:
The correct answer is D. 2/11.
Step-by-step explanation:
To determine what is the probability of rolling a number less than or equal to 8 with the sum of two dice, given that at least one of the dice must show a 6, the following calculation should be performed:
6 + 1 = 7
6 + 2 = 8
2/11 = X
Therefore, the probability of rolling a number less than
or equal to 8 with the sum of two dice, given that at least one of the dice must show a 6, is 2/11.
Answer:
96
Step-by-step explanation:
Answer:
- After a 90% increase, there is 2,280
- After a 55% increase, there is 2015
- After a 58% decrease, there is 588
Step-by-step explanation:
Assume the original figures are x.
After a 90% increase, there is 2,280:
x * (1 + 90%) = 2,280
1.9x = 2,280
x = 2,280 / 1.9
= 1,200
After a 58% decrease, there is 588:
x * (1 - 58%) = 588
0.42x = 588
x = 588/0.42
x = 1,400
After a 55% increase, there is 2,015:
x * (1 + 55%) = 2,015
1.55x = 2,015
x = 2,015/1.55
x= 1,300
Order:
1,200 ⇒ 1,300 ⇒ 1,400
Answer:
$14,080
Step-by-step explanation:
You can use a formula for exponential decay, but since it is only 2 years, you can find 80% of the original value, and then 80% of the new value.
Original value: $22,000
Value after 1 year: 80% of $22,000 = 0.8 * $22,000 = $17,600
Value after 1 year: $17,600
Value after 2 years: 80% of $17,600 = 0.8 * $17,600 = $14,080
Answer: $14,080
