- The area of the circle is:
A=πr²
A is the area of the circle.
π=3.14
r is the radius of the circle.
- To calculate the area of <span> the sector indicated in the problem, you must apply the following formula:
As=(</span>θ/2π)πr²
As is the area of the sector.
θ is the central angle (θ=2π/9)
π=3.14
r is the radius.
- First, you must find the radius:
r=Diameter/2
r=20.6 mm/2
r=10.3 mm
- Now, you can substitute the values into the formula As=(θ/2π)πr². Then, you have:
As=(θ/2π)πr²
As=(2π/9/2π)(π)(10.3)²
As=(π/9π)(π)(10.3)²
As=(3.14/9x3.14)(3.14)(10.3)²
- Finally, the area of the sector is:
As= 37.01 mm²
Answer:
1047.2 cubic inches
Step-by-step explanation:
V = 4(pi)(r³/3)
V = 4(pi)(125/3)
V = 523.6 cubic inches (1 ball)
V = 2(523.6) = 1047.2 cubic inches (total)
Answer:
3) Reflexive Property
4) SAS
Step-by-step explanation:
<h2>ST ≅ TS</h2>
1. The Reflexive Property states that: a quantity is congruent (equal) to itself.
- Example: a = a
- In this case, it could be seen as ST ≅ ST because they have/are the same side(s).
<h2>RST ≅ UTS </h2>
1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.
- Example: RST ≅ UTS (both have S and T)
- Can be seen as RST ≅ UST as well to make their similarity more evident.
2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).
16 is the answer. I think
<h3>Given</h3>
... f(x) = x² -4x +1
<h3>Find</h3>
... a) f(-8)
... b) f(x+9)
... c) f(-x)
<h3>Solution</h3>
In each case, put the function argument where x is, then simplify.
a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97
b) f(x+9) = (x+9)² -4(x+9) +1
... = x² +18x +81 -4x -36 +1
... f(x+9) = x² +14x +46
c) f(-x) = (-x)² -4(-x) +1
... f(-x) = x² +4x +1