MATHEMATICS HIGH SCHOOL

A central angle measuring 160° intercepts an arc in a circle whose radius is 4.What is length of the arc of the circle formed by this central angle? Round the length of the arc to the nearest hundredth
of unit.
4.19 units
6.28 units
12.57 units
12.57 square units

Answers

Answer 1
Answer:

Answer:

11.17units

Step-by-step explanation:

Check attachment
Answer 2
Answer:
The answer is 11.7 because I plugged it in the formula and you use pie r squared

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How many minutes does the hand make 1/6 of half a rotation
Which of these data sets is symmetrical?A) 1,8,15,15,15,22,22,22,29,36,43 B) 1,8,15,22,22,22,29,29,29,36,43 C) 1,8,15,15,22,22,22,29,29,36,43 D) 1,1,15,15,22,22,22,29,29,36,43
Which statement is true for the equation 3x − 3x − 2 = −2?It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.
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A box is x inches high, (2x + 3) inches wide, and (2x + 5) inches long. In terms of x, what is the volume (V) of the box?A) V = 4x3 + 15x B) V = 4x3 + 4x2 + 5x C) V = 4x3 + 4x2 + 15x D) V = 4x3 + 16x2 + 15x

A line segment is drawn from (+6, +4) to (+9, +4) on a coordinate grid.Which explains one way that the length of this line segment can be determined?

A.
Add 9 + 6.

B.
Add 6 + 6.

C.
Subtract 9 – 6.

D.
Subtract 6 – 6.

Answers

Letter c. add 9-6 explains one way that the length of this line segment can be determined. In order to verify this for yourself, you can plot these two point on a Cartesian coordinate plane and manually measure the length of the line. Mathematically, the length of a line may be calculated by the distance formula given as: sqrt[(x2-x1)^2+(y2-y1)^2]

Solve for x (2x-2)+(x+5)

Answers

2x^2-x+5

I hope this helps. Enjoy the rest of you day :)))

Answer:

3x + 3

Step-by-step explanation:

(2x - 2) + (x + 5)

Combine like terms:

2x + -2 + x + 5

(2x + x) + (-2 + 5)

3x + 3

Hope you learned from this answer!

1. Solve and verify each of the following systems of linear equations./3 a. 5x – 2y =- 6 and 2x – y = 1

Answer:

/3 b. 2x + 3y = 432 and 5x – 2y = 16

Answer:

Answers

Answer:

A.

5x-2y= -6-------(1)

2x-y= 1------(2)

Equation (1) - 2 × Equation (2)

→5x-2y-4x+2y= -6 -2

Adding and Subtracting like terms

→x= - 8

Putting the value of x in equation 2

→2×(-8) -y =1

→-16 -y=1

Adding 16 on both sides of equation

→-y=16+1

→y = -17

x= -8, and y= -17

B

2x + 3y = 432------(3)

5x – 2y = 16---------(4)

2×Equation (3) + 3 × Equation (4)

→4x+6y+15x-6y=864+48

→19 x=912

Dividing both sides by 19, we get

x=48

Putting the value of x, in equation (3)

2× 48+3y=432

96+3y=432

 3y=432-96

3y=336

Dividing both sides by,3 we get

y=112

Solution set is equal to, x=48,y=112
5x - 2y = -6 ⇒ 10x - 4y = -12
2x - 1y =  1 ⇒ 10x - 5y =    5
                                  y = -17
                   5x - 2(-17) = -6
                       5x + 34 = -6
                             - 34 - 34
                               5x = -40
                                5       5
                                 x = -8
                           (x, y) = (-8, -17)

2x + 3y = 432 ⇒ 10x + 15y = 2160
5x + 2y =   16 ⇒ 10x +   4y =     32
                                     11y = 2128
                                      11       11
                                         y = 193.4545455
          2x + 3(193.4545455) = 432
              2x + 580.3636364 = 432
                   - 580.3636364  - 580.3636364
                                       2x = -148.3636364
                                        2                2
                                         x = -74.1818182
                                   (x, y) = (-74.1818184, 193.4545455)

If an object has a mass of 50 kilograms, what would it weigh on Uranus, where the acceleration due to gravity is. 10.5 meters/second2?

Answers

Mass of n object : m = 50 kg.
On Uranus : g ( Uranus ) = 10.5 m/s²
Weight = Mass   x  Acceleration due to gravity
Weight = 50 kg · 10.5 m/s² = 525 kgm/s² = 525 N

Find the value of x that makes this a true statement (1/27)^x=3

Answers

Answer:

  • x = -1/3

Step-by-step explanation:

Given

  • (1/27)^x=3

Solving for x

  • (1/27)^x=3
  • (1/3)^3x = 3
  • 3^-3x = 3^1
  • -3x = 1
  • x = -1/3

You deposit $3000 into an account that pays 4.8% interest, compounded monthly. A) What is the value of the account after 5 years?B) How long will it take for the value of the account to reach $6000?

Answers

Answer:

14.4 years (about 14 years 6 months)

Step-by-step explanation:

Given data

Principal= $3000

Rate= 4.8%

A. Time= 5 years

The expression for compound interest is

A=P(1+r)^t

Substitute

A= 3000(1+0.048)^5

A= 3000(1.048)^5

A=3000*1.264

A=$3792

Hence the balance will be $3792

B. Final Amount A = $6000

The expression to find time is given ast

t= ln(A/P) / r

substitute

t= ln(6000/3000)/0.048

t= ln2/0.048

t= 0.6931/0.048

t=14.43

Hence the time is 14.4 years (about 14 years 6 months)approx
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