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Triss [41]
2 years ago
15

Please help me i beg you PLEASE HELP ME ASAP I SWEAR TO GOD WILL MARK YOU BRAINIEST

Mathematics
1 answer:
daser333 [38]2 years ago
5 0

Step-by-step explanation:

DEFINITION: Besting: the clockwise totation (0° to 360°) from North to any line.

A) Calculate the bearings of D from A:

bearings of D from A =x

looking the picture:

x=48°+55°+180°

x+103°+180°

x=283°

B)Calculate the bearings of A from C:

bearings of A from C =y

180°+55°=y

y=235°

C) Calculate the distance between A and B:

The angle in B is 74° (Because 55°+51°+74°=180°)

Using the Law of sines:

\frac{19}{sin(74)} =\frac{AB}{sin(51)} \\\\AB=19sin(51)sin(74)\\AB=14,2\\\\

D)Calculate the distance between D and C:

Using the Law of cossines:

DC^{2} =27^{2} +19^{2} -2*27*19*cos(48)\\DC=20,09

E) A Helicopter is hovering at A at a height of 2.5Km, find angle of elevation of helicopter from C:

The triangle HBA is rectangle

\alpha =arctan(\frac{2,5}{19})

α=7,49°

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Budget planners in two towns, Alphaville and Betaville, developed models to determine the budget surplus (in dollars) for a year
kramer

Answer:

(a)-3x^2+150x-10000

(b)-\$16,863,760,000

Step-by-step explanation:

Alphaville's Budget Surplus Model is -2x^2+ 500x

Betaville's Budget Surplus Model is x^2- 100x + 10000.

We want to determine the expression that shows how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue.

  • To do this, we subtract Betaville's Model from Alphaville's model.

-2x^2+ 500x-(x^2- 100x + 10000)\\

Opening the brackets

-2x^2+ 500x-x^2+100x - 10000\\

Collect like terms and simplify

-2x^2-x^2+100x + 500x- 10000\\=-3x^2+150x-10000

The expression that shows how much greater Alphaville's Budget is:

-3x^2+150x-10000

(b) If the tax revenue that year in each town is $75,000

We want to evaluate the expression derived above when the tax revenue that year in each town is $75,000 i.e.at x=75000

-3x^2+150x-10000\\=-3(75000)^2+150(75000)-10000\\=-\$16,863,760,000

3 0
3 years ago
a trapezoid has a perimeter of 14ft what will the perimeter be if each side length id increased by a factor of 7
Sedaia [141]

Answer:

42

Step-by-step explanation:

Trapezoid has 4 lines

If each side increase by 7, 4 lines totally increase by 7*4 = 28

Perimeter will be 14 + 28 = 42

5 0
1 year ago
If y=1/2x+5 then what is 2y+5x=-2
salantis [7]
(-2,4) 

2(1/2x+5)+5x=-2
x=-2

plug it back into and equation 

y=1/2*-2+5
y=4

5 0
3 years ago
Grant obtained a balloon mortgage but was late on a few payments during
Gwar [14]

Answer: Refinance the Ballon Payment

4 0
2 years ago
A=1/2 (2x + 4) (6x + 4) solve using FOIL
boyakko [2]
A = 1/2 (12x² + 8x + 24x + 16)
A = 1/2 (12x² + 32x + 16)
A = 6x² + 16x + 8


-----------------------------------------------------------
Answer: 6x² + 16x + 8
-----------------------------------------------------------

7 0
2 years ago
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