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 properties of operations can be used to solve problems involving integers because it shows different way to find the answer.
Step-by-step explanation:
Answer:
10 cm
Step-by-step explanation:
Given:
No. of small spherical bulb = 1,000
radius (r) of smaller bulbs = 1 cm
Required:
radius of the bigger bulb
SOLUTION:
The following equation represents the relationship of the volume of the smaller and bigger bulb,
Where,
= volume of bigger bulb
= volume of smaller bulb
1,000 is the number of smaller bulbs melted to form the bigger bulb.
Volume of a sphere is given as, ⁴/3πr³
Therefore:
= ⁴/3*π*r³ = 4πr³/3
= ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3
Plug the above values into the equation below:
(12pie cancels 12 pie)
(taking the cube root of each side)
Radius of the bigger bulb = 10 cm
Answer:
Let a be the first term.
The sum is a1−r=33.25.
The second term is ar=7.98, so a=7.98/r.
Putting these together, 7.98/r(1−r)=33.25 or r(1−r)=0.24=0.6×0.4.
If the answer doesn't jump out at you from there, you could solve for r with the quadratic formula.
Step-by-step explanation:
I Hope It's Helpful :)
Answer:
Follows are the solution to this question:
Step-by-step explanation:
- It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom.
- It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity.
- It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.
