Answer:
<em>Both equal sides have a length of 29 cm.</em>
<em>The third inequal side is 9 cm.</em>
Step-by-step explanation:
<u>System of Equations</u>
With the data provided in the problem, we can form a system of two equations with two unknowns.
Let's call x to each equal side of the isosceles triangle and y to the other side. One condition states that each equal side is 2 cm more than three times the other side. It can be written as:
We also know the perimeter of the triangle is 67 cm. Since we have to equal sides to x:
Let's put together both equations:
To solve the system, we can use the x from the first equation and replace it into the second equation:
Operating:
Joining like terms:
Solving for y:
The third inequal side is 9 cm. Now find the value of x.
Both equal sides have a length of 29 cm.
Answer:
The volume of the solid is 420m³
Step-by-step explanation:
The area of any pyramid is "1/3 · B · h", where B is the area of the base, and h is the height.
Knowing this we just need to solve for a couple of things.
First, and the easiest is the height of the triangle which (thankfully) is given to us. The height is 15m, which plus one number into our equation.
1/3 · B · 15
Second, we need to find the area of the base of the pyramid. That's done easily by finding the area of a triangle ( → → → ) giving us 84 units. This puts another number into our equation.
1/3 · 84 · 15
Now that we have all of the parts to our equation, we can solve it.
1/3 · 84 · 15
1/3 · 1260
420
The volume of the solid is 420m³
If you mean <span>2x3(5x3 − 7)
2x3(15-7)
2x3(8)
6(8)
48
if you mean 2x^3(5x^3-7)
</span>2x^3(5x^3) - 2x^3(7)
10x^6-14x^3
20 % = 20/100 = 1/5
1 red marble out of 5 total marbles
1 red marble and 4 not red marbles
odds in favor means number of favorable outcomes : number of unfavorable outcomes
this basically means red marbles : not red marbles
1: 4
Answer:10.51inches
Step-by-step explanation:
circumference=66
Radius=circumference ➗ (2xπ)
Radius=66 ➗ (2x3.14)
Radius=66 ➗ 6.28
Radius=10.51inches