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Sever21 [200]
3 years ago
8

Help me answer all of those questions

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

1) 100N 2) 0.3m/s² 3) 1/2 kg

Step-by-step explanation:

1) F = ma

F = 50×2

F = 100N

2) F = ma

9000 = 30000×a

(9000÷30000) = a

a = 0.3m/s²

3) F = ma

1 = m×2

(1÷2) = m

m = 1/2 kg

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He will give about 99 prizes to each student
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Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t
Marat540 [252]

Answer:

The location of the new cell phone tower is (h,k) = (3,4), and the equation of the circle is x^{2}+y^{2} -6\cdot x - 8\cdot y = 0.

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0 (1)

Where:

x - Independent variable.

y - Dependent variable.

A, B, C - Circunference constants.

Given the number of variable, we need the location of three distinct points:

(x_{1},y_{1}) = (6,0)

36 +6\cdot A + C = 0

(x_{2},y_{2}) = (8,4)

80 + 8\cdot A + 4\cdot B + C = 0

(x_{3},y_{3}) = (3,9)

90 + 3\cdot A + 9\cdot B + C = 0

Then, we have the following system of linear equations:

6\cdot A + C = -36 (2)

8\cdot A +4\cdot B + C = -80 (3)

3\cdot A + 9\cdot B + C = -90 (4)

The solution of this system is:

A = -6, B = -8, C = 0

By comparing the general form with the standard form of the equation of the circunference is:

A = -2\cdot h (5)

B = -2\cdot k (6)

C = h^{2}+k^{2}-r^{2} (7)

Where:

h, k - Coordinates of the center of the circle.

r - Radius of the circle.

If we know that A = -6, B = -8 and C = 0, then coordinates of the center of the circle and its radius are, respectively:

h = -\frac{A}{2}

k = -\frac{B}{2}

r = \sqrt{h^{2}+k^{2}-C}

h = 3, k = 4, r = 5

The location of the new cell phone tower is (h,k) = (3,4), and the equation of the circle is x^{2}+y^{2} -6\cdot x - 8\cdot y = 0.

3 0
2 years ago
Tina wants to save money for school.Tina invests $1,000 in an account that pays an interest rate of 6.75%. How many years will i
shepuryov [24]
It take 2.75 years
Step by step explanation:
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5 0
3 years ago
Find the surface area of the shape below.
almond37 [142]

Answer:

54m^2

Step-by-step explanation:

Each square has a equal sides, which is 3m

in order to find the surface area, it's

Formula : Base x height = Area

The total surface area would be all the area's added together

3x3=9cm^2

so each square is 9m^2

there are 6 squares so

9+9+9+9+9+9=54m^2

or you can do 9x6=54m^2

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