MATHEMATICS HIGH SCHOOL

HELP me with These questions

Answers

Answer 1

Answer:

Answer: 13.96 in²

Step-by-step explanation:

radius (r)

d = 2r

16 = 2r

8 = r

angle in radians (θ)

$(180)/(\pi) =(25)/(\theta)$

180(θ) = 25(π)

θ = $(25)/(180)\pi$

θ = $(5)/(36)\pi$

Area (A)

A = $(1)/(2)$ r² θ

= $(1)/(2)(8)^(2)((5)/(36)\pi)$

= $(40)/(9)\pi$

= 13.96

*************************************************************************

Answer: 12π

Step-by-step explanation:

s = rθ

= 60 $((\pi )/(5))$

= 12π

*************************************************************************

Answer: 22.440 cm²

Step-by-step explanation:

A = $(1)/(2)$ r²θ

= $(1)/(2)$ (10)² $(\frac{\pi} {7})$

= $(50)/(7)\pi$

= 22.440

*************************************************************************

Answer: 270°, 630°, -450°, -810°

Step-by-step explanation:

positive: -90 + 360 = 270

270 + 360 = 630

negative: -90 - 360 = -450

-450 - 360 = -810

*************************************************************************

Answer: $\frac{3\pi} {4}$

Step-by-step explanation:

$\frac{19\pi} {4} - 2\pi$

= $\frac{19\pi} {4} - \frac{8\pi} {4}$

= $\frac{11\pi} {4}$

$(11\pi)/(4) - 2\pi$

= $\frac{11\pi} {4} - \frac{8\pi} {4}$

= $\frac{3\pi} {4}$

If you subtract another 2π, you will end up with a negative value. The question asks for the smallest positive value.

Related Questions

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Change the fraction to a decimal: 13/50
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find the balance in the account after the given period $500 principal earning 4% compound quarterly after 6 years

Answers

A=P(1+r/100)^n
A=500(1+4/400)^24
A=500(1.01)^24
A=634.87

Answers

1. b

2. d

3. b

4. b

5. a

6. c

7. b

8. b

9. b

10. d

11. b

12. c

Solve the following system of equations?x + 3y - z = 2
x - 2y + 3z = 7
x + 2y - 5z = -21
a)(2, 3, 5)
b)(-2, 3, 5)
c)(2, -3, 5)
d)(2, -3, 5)

Answers

1x + 3y - 1z = 2 ⇒ 1x + 3y - 1z = 2
1x - 2y + 3z = 7 ⇒ 1x - 2y + 3z = 7
1x + 2y - 5z = -21    5y - 4z = -5
   5y - 4z = -5   ⇒ -20y + 16z = 20
1x + 3y - 1z = 2    -4y + 8z = -28 ⇒ -20y - 40z = -140 1x - 2y + 3z = 7    ⇒ 1x - 2y + 3z = 7       -24z = -120
1x + 2y - 5z = -21 ⇒ 1x + 2y - 5z = -21          -24 -24
   -4y + 8z = -28 z = 5
        5y - 4(5) = -5
      5y - 20 = -5
   +20   +20
   5y = 15
      5 5
   y = 3
      x + 3(3) - 5 = 2
      x + 9 - 5 = 2
   x + 4 = 2
      -4 -4
   x = -2
      (x, y, z) = (-2, 3, 5)
The solution to the answer is B. (-2, 3, 5).

Solve for y:

-y+6+6y=9

Answers

-y + 6 + 6y = 9

First, simplify -y + 6 + 6y to 5y + 6. / Your problem should look like: $5y + 6 = 9$
Second, subtract 6 from both sides. / Your problem should look like: $5y = 9 - 6$
Third, subtract 9 - 6 to get 3. / Your problem should look like: $5y = 3$
Fourth, divide both sides by 5. / Your problem should look like: $y = (3)/(5)$

Answer as fraction: y = $(3)/(5)$
Answer as decimal: 0.6

−y+6+6y=9

(−y+6y)+(6)=9(Combine Like Terms)

5y+6=9

Subtract 6 from both sides.

5y+6−6=9−6

5y=3

Divide both sides by 5.

5y/5=3/5

y=3/5

I don’t know this one

Answers

Answer:

3077.2

Step-by-step explanation:

A circle's mass is found by

Pie times R^2

7^2 is 49, times 3.14 is 153.86

then you Multiply 153.86 by 20 which gives you 3077.2

Volume of a cylinder = pi r^2 * h
Pi 7^2 * 20
Volume = 49 pi

Density = mass/ volume
2.5= mass/ 49 pi
Mass= density * volume
= 2.5*49 pi
= 245/2 pi
= 384.845...
=384.8 g to 1 dp

Answer= Volume

10(x+3)=9
mmmmmmmmmmmmmmmmm

Answers

divide both sides by 10
x+3=0.9
minus 3
x=2.1

Solutions

Divide both sides by 10

x+3=9 / 10

Subtract 3 from both sides

x=9 / 10 −3

Simplify 9 / 10 −3 to −21 / 10

x=−21 / 10

Decimal = -2.1

If |x| > 5 then x>5 true or false?

Answers

Final answer:

If |x| > 5, then x > 5 is true.

Explanation:

If the absolute value of x, denoted |x|, is greater than 5, then x must be either greater than 5 or less than -5. This is because the absolute value of a number is its distance from zero on the number line, so any number that is more than 5 units away from zero will be greater than 5 or less than -5.

In this case, we are looking for x to be greater than 5, so the statement x > 5 is true.

Learn more about Absolute Value here:

brainly.com/question/18731489

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