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Elena-2011 [213]
3 years ago
11

Solve for the indicated variable. Include all of your work in your answer. Submit your solution.

Mathematics
2 answers:
Mrac [35]3 years ago
8 0
C = 2(pi)r....divide both sides by 2(pi)
C / (2(pi)) = r
kenny6666 [7]3 years ago
6 0
C=2r
divide both sides by 2
c/2=r
c=2pir
divide by 2pi
c/(2pi)=r
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a hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. the c
allochka39001 [22]

According to given conditions, m+n is equal to 409.

Consider the diagram below.

In the hexagon ABCDEF, let

AB = BC = CD = 3;

DE = EF = FA = 5;

Arc BAF is equal to one-third of the circle's circumference.

Hence, ∠BCF = ∠BEF = 60°;

Similarly, ∠CBE = ∠CFE = 60°;

Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.

∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.

Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.

∴ Δ ABQ is similar to Δ EDQ

\frac{AQ}{EQ}  = \frac{BQ}{DQ} = \frac{AB}{ED} = \frac{3}{5}

Also,

\frac{\frac{AD - PQ}{2} }{PQ + 5} = \frac{3}{5}  

and \frac{3 - PQ}{\frac{AD + PQ}{2} }  = \frac{3}{5}

On solving these simultaneous equations, we get AD = 360/49

∴ m + n = 409.

To learn more about similarity of triangles, refer to this link:

brainly.com/question/25882965

#SPJ4

4 0
1 year ago
What is the inverse of f(x)= cube root of x +2.
DiKsa [7]
F(x)=\sqrt[3]{x+2}
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)

so we have
f(x)=\sqrt[3]{x+2}
subsitute f(x) with y
y=\sqrt[3]{x+2}
switch x and y
x=\sqrt[3]{y+2}
solve for y

x=\sqrt[3]{y+2}
cube both sides
x^{3}=y+2
subtract 2 from both sides
x^{3}-2=y

subsitute y with f⁻¹(x)
f⁻¹(x)=x^{3}-2



the answer is f⁻¹(x)=x^{3}-2



8 0
3 years ago
What is the range of arcsinx
Aleonysh [2.5K]
Y= arcsin(x) is equivalent to sin(y) = x

we know that     -1≤x+1, hence the range of y is:    -π/2≤y≤+π/2
 
3 0
3 years ago
A central angle in a circle with radius 7 inches has the measure θ , in radians. The length of the arc subtended by the central
Ahat [919]
The relationship between arc, radius, and central angle in radians is:

Θ = s/r

So just plugging in the values:

Θ = (5π/3)/7 = 5π/21 ≈ 0.748 or 0.7
6 0
3 years ago
What is <br> (x - 3)(x +9)
wel

Answer:

x^2 +6x-27

Step-by-step explanation:

7 0
2 years ago
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