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3 years ago

If mAGF = mBGC = mDGC = mEGF = 67°, what is mAGB?

1 answer:

4 0

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Please help with parts a,b, and c

Elena-2011 [213]

Answer:

3000 = n*240 +s*360

1050 = 90n+120s

On this particular day, there are 5 nurses and 5 support staff working

Step-by-step explanation:

Nurses work 240 minutes per day

Support staff work 360 minutes per day

Let n = number of nurses

Let s = number of support staff

a) 3000 minutes are worked

The total number of minutes worked = the number of minutes worked by a nurse per day times the number of nurses plus the number of minutes worked per day by a support staff person times the number of support staff people

3000 = n*240 +s*360

b) earnings per day = 1050

The total number of dollars earned each day= the wages of a nurse per day times the number of nurses each day plus the wages of a support staff person per day times the number of support staff people working each day

1050 = 90n+120s

c) We have 2 equations and 2 unknowns

3000 = n*240 +s*360

1050 = 90n+120s

Divide each equation by 10

300=24n+36s

105 = 9n+12s

Multiply the second equation by -3

-315 = -27n -36s

Add this to the first equation to eliminate s

-315 = -27n -36s

300=24n+36s

---------------------

-15 = -3n

Divide by -3

-15/-3 = -3n/-3

5=n

There are 5 nurses working that day

Now we need to solve for s

105 = 9n+12s

105 = 9(5) +12s

105 = 45+12s

Subtract 45 from each side

105-45 = 45-45 +12s

60 = 12s

Divide by 12

60/12 = 12s/12

5 =s

There are 5 support staff working.

On this particular day, there are 5 nurses and 5 support staff working

8 0

2 years ago

Find the area of the figure below?

disa [49]

Answer:

108

Step-by-step explanation:

a = b*h

a = 9*12

a= 108m^2

4 0

2 years ago

What is the measure of ∠FGC?

vaieri [72.5K]

Answer:

I think its 30 degrees

Step-by-step explanation:

because it's look like ABE, if you were to fold it in half it would look the same

7 0

3 years ago

Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x2+y2+8x+2y−4883=

vodka [1.7K]

Answer:

The general form of the equation for the orbit of the satellite is $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ .

Step-by-step explanation:

From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:

1) $x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0$ Given

2) $(x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883$ Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

3) $(x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883$ Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

4) $(x+4)^{2}+(y+1)^{2} = 4900$ Square perfect trinomial/Result

According the result, the center of Earth is $C(x,y) = (4, 1)$ and the square of the radius of Earth equals 4900. That is: $r = 70$

If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:

$(x+4)^{2}+(y+1)^{2}=70.4^{2}$

$(x+4)^{2}+(y+1)^{2} = 4956.16$

Now we transform this into its general form:

1) $(x+4)^{2}+(y+1)^{2} = 4956.16$ Given

2) $x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16$ Square perfect trinomial

3) $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result

The general form of the equation for the orbit of the satellite is $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ .

6 0

3 years ago

Which of the following must be true? The diagram is not to scale

MrRissso [65]

Answer:

A. AC = FH

Step-by-step explanation:

SAS and then CPCTC

6 0

2 years ago