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givi [52]
2 years ago
5

1. Alyssa Sheridan earned $465.60 for a

Mathematics
1 answer:
Nookie1986 [14]2 years ago
4 0

Answer: Her hourly rate is $11.64

Step-by-step explanation: The total amount that she earned in a week is $465.60 and she worked for 40 hours.

We have take the amount that she earned and divide it by the hours she worked.

$465.60/40

=$11.64

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R = sec(θ) − 2cos(θ), where -π/2 < θ < π/2
Alex

Answer:

  y = (x/(1-x))√(1-x²)

Step-by-step explanation:

The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:

  x = r·cos(θ)

  y = r·sin(θ)

  x² +y² = r²

__

  r = sec(θ) -2cos(θ)

  r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)

  r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²

  (x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations

  x²(x +1) = y²(1 -x) . . . . . . . . . . . subtract xy²-x², factor

  y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)

  \boxed{y=\dfrac{x\sqrt{1-x^2}}{1-x}}

__

The attached graph shows the equivalence of the polar and rectangular forms.

4 0
2 years ago
Plzz look into the question in the attachements
iren2701 [21]

Given : Diameter of the right circular cone ==> 8 cm

It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)

Given : Volume of the right circular cone ==> 48π cm³

We know that :

\bigstar \ \ \boxed{\textsf{Volume of a right circular cone is given by : $\pi r^2\dfrac{h}{3}$}}

where : r is the radius of the circular cross-section.

             h is the height of the right circular cone.

Substituting the respective values in the formula, we get :

\mathsf{\implies \pi \times (4)^2 \times \dfrac{h}{3} = 48\pi}

\mathsf{\implies 16 \times \dfrac{h}{3} = 48}

\mathsf{\implies \dfrac{h}{3} = 3}

\implies \boxed{\mathsf{h= 9 \ cm}}

<u>Answer</u> : Height of the given right circular cone is 9 cm

8 0
2 years ago
11. Crítique Reasoning Jaime wrote
Umnica [9.8K]

Answer:No

Step-by-step explanation: 4.4 - 0.33 = 4.07 so there is no reasoning for it to be 1.1 since it make no sense at all.

5 0
3 years ago
Solve the equation for n and show your work. -3n + 48 = 0
MrRissso [65]
-3n+48=0
-3n=-48
-3n/-3 & -48/-3
n=16
7 0
2 years ago
Shaded area is 51 pi cm squared. The diameter of the larger circle is 20cm. Find r
katrin [286]

Answer:

R = 4 cm

Step-by-step explanation:

A = pi * r^2

51 = 3.14 r^2

r^2 = 51/3.14

r^2 = 16

r = 4 cm

*Note:- neglect the diameter of the the larger circle

7 0
3 years ago
Read 2 more answers
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