When solving for y in a equation what is the answer to 5x-3y=21
2 answers:
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Hello!
First of all, let's find the triangle. As we can see, it is eight units long and four units tall. We can use the triangle formula and half the product.
4(8)=32
32/2=16
Now we need to find the area of the semicircle. We can use circle formulas and half our final answer. We will find the area using A=r².
We know that the diameter of this circle is eight. Therefore our radius is 4.
A=²
A=
Now we multiply.
16≈50.27
Now we add our triangle.
50.27+16=66.27
The nearest answer to this is B)66.2. It may have been a bit over as we used , not 3.14.
I hope this helps!
Answer:
Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
- The line which is 8 units long is a chord of the circle.
- The line that is 3.6 is <em>almost</em> the radius of the circle
- The line that x sits on is the radius.
With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
<em>What we need is a way to find the radius of the circle</em><em>. This will get us x</em>. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!
