Answer:
x = -2.5
x = 2
Step-by-step explanation:
Hello!
We can remove the denominators by multiplying everything by it.
Solve:
Let's make one side equal to 0.
Solve by factoring, and then the zero product property.
Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, 
, think two numbers that equal "ac" and add up to "b".
Using the zero product property, set each factor to 0 and solve for x.
- 2x + 5 = 0
2x = -5
x = -5/2 = -2.5 - x - 2 = 0
x = 2
The two answers are x = -2.5, and x = 2.
The net shows an equilateral triangle with side length 24 cm.
The area of an equilateral triangle of side length s is ...
... A = (√3)/4·s²
Using the above side length, the area is
... A = (√3)/4·(24 cm)² = 144√3 cm² ≈ 249.4 cm²
Your best choice is the first one:
... A) 249.6 cm²
Answer:
x = 1.87
Step-by-step explanation:
2x^2 - 5 + 1 = 3
2x^2 = 3 + 5 - 1
2x^2 = 7
x^2 = 7/2
x = √3.5
x = 1.87082.....
x = 1.87 ( 3 significant figures )
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
To solve this, we will have to use multiple methods, including the pythagorean theorem and the 30 60 90 rule.
In the 30 60 90 rule, it is stated that the angle opposing the side with 30 degrees is represented by 
, the angle opposing the side with 60 is 
and the angle opposing 90 degree angle is represented by 
. Looking at the whole triangle, we can see the 30, 60 and 90 degrees, and the angle with 90 has an opposing side of 15, which means we have to use 15=2s to find the other sides. When dividing 15 by 2, you get 7.5, which is s. Now we know that the angle opposing 30 is 15/2, which is x. Now that we have "s", we can also solve for z, represented by the 60 degrees. Multiply 7.5 and 
to get z=35113/2703.
Now we can solve for the smaller triangles. Since we have already found x, we can use the 30 60 90 method in this too. The x (15/2) is now represented by 2s. Therefore, solve for your new s by doing this: 15/2 = 2s. You should get your 30 degree angle answer (a) with this, which is 15/4. Now that we have to use pythagorean theorem, which is 
to solve for the remaining side (y) of the small triangle. You should get 35113/5406.
Finally we have the last side left: b. Since we have so many sides now, all we have to use is the pythagorean theorem again. Use 
and solve for b. You should get 45/4.
