If three circular metal discs of equal thickness whose radii are 5cm, 20cm and 40cm are melted down to form one circular disc of the same thickness, find its radius.

Step-by-step explanation:

The √(8/2) is equal to 2 if you meant that then the order is 2, 2, 7.

If not then the square root of 8 is approximately 2.82842712475 so divide that by 2 and you get

1.41421356237.

The price of the car after 5 years will be ₱1,500,000

Price of car = ₱2 000 000

Depreciation percentage = 5%

Depreciation = 5% × ₱2 000 000 = 0.05 × ₱2 000 000 = ₱100 000

The equation to solve the question will be:

= 2000000 - 100000x

where, x = number of years

= 2,000,000 - 100000(5)

= 2,000,000 - 500,000

= ₱1 500 000

The price of the car after 5 years will be ₱1,500,000

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[tex]\large \mathfrak{Solution : }[/tex]

let's solve for b :

The coordinate point P is at (6, 8) given AB with A(3,-1) and B(8, 14), if p lies on AB such that the ratio of AP to PB is 2:3 is (6, 8)

Midpoint is the point that divides a line into two equal parts.

The formula for calculating the midpoint of a line divided within the ratio a:b is expressed as:

[tex]M(X, Y)=(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b} )[/tex]

Given the coordinate point A(3,-1) and B(8, 14) and the ratio 2:3

Get the X coordinate of point P

[tex]X = \frac{2(3)+3(8)}{2+3}\\X=\frac{6+24}{5} \\X = \frac{30}{5}\\X=6[/tex]

Get the Y coordinate of point P

[tex]Y = \frac{2(-1)+3(14)}{2+3}\\Y=\frac{-2+42}{5} \\Y = \frac{40}{5}\\Y=8[/tex]

hence the coordinate point P is at (6, 8)

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Answer:

24

Step-by-step explanation:

2 x (-3)2 - 5 x (-3) x (-2) - (-2)3

2 x -6 - 5 x -6 + 6

-12 + 30 + 6

24

Answer:

8x^2 +10x -5

Step-by-step explanation:

you'll multiply the second expression by -1, and you'll get +8x-9, add both expressions together and your final answer will be 8x^2 +10x -5

Answer:

I could only figure out that the range is the 2nd to last one. Sorry. Hope you get it right!

Step-by-step explanation:

Answer:

RST = 20

Step-by-step explanation:

a ray that divides an angle into two equal angles is called an angle bisector.

So RSP = PST

3 x -2 = 9x - 26

6x = 24

x = 4

RST = 3x -2 + 9x -26 = 20

Answer:

19

Step-by-step explanation:

c=38/2

c=19

Answer:

19

Step-by-step explanation:

c2 = 38

Do 38/2 = 19

c = 19

Answer:

At 11 months, the costs for each club will be the same.

Equation: 44 + 30x = 99 + 25x

Step-by-step explanation:

Form equations to solve for each health club:

Variable x = number of months

1st health club: 44 + 30x

2nd health club: 99 + 25x

Equal the equations to each other:

44 + 30x = 99 + 25x

30x = 55 + 25x

5x = 55

x = 11

Answer:

x=11

Step-by-step explanation:

44+30x=99+25x

      -25x      -25x

44 +5x = 99

-44         -44

5x=55

5     5

x=11

I hope this helps!

Answer:

(m - 7) + 15

Step-by-step explanation:

A difference is the result of a subtraction, so the difference of m and 7 is

m - 7

An increase is obtained by addition, so to increase the difference by 15, add 15 to the difference.

(m - 7) + 15

Answer:

Step-by-step explanation:

XY = 1/2 * QR (According to the midpoint theorem)

=1/2 * 15.6

=15.6/2

=7.8 m

Answer:

Step-by-step explanation:

3) Yes. Ms. Bratlett is  correct.

2x - 3 - (x +1) = 2x - 3 + x*(-1) + 1*(-1)

                     = 2x - 3 - x - 1

                    = 2x -x  - 3 - 1

                    = x - 4

Answer:

C. 2/3

Step-by-step explanation:

To find the slope of a line from two points, use this formula.

[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

The variable 'm' means slope in algebra.

y² means the second y-coordinate and y^1 means the first y-coordinate.

Based on the previous definition, it should be easy to figure out what x² and x^1 mean.

[tex](2,4),(5,6)[/tex]

[tex]m=\frac{6-4}{5-2} =\frac{2}{3}[/tex]

Therefore, the slope of the line passing through the points (2,4) and (5,6) is 2/3.

Let me know if you have any questions.

Answer:

5)102,78

6)56,56

See THE IMAGE FOR SOLUTION

Answer:

78° and 65°

Step-by-step explanation:

(5)

The 2 angles lie on a straight line and sum to 180° , that is

x + 84 + x + 108 = 180

2x + 192 = 180 ( subtract 192 from both sides )

2x = - 12 ( divide both sides by 2 )

x = - 6

Then

x + 84 = - 6 + 84 = 78°

(6)

the angle opposite 8x is 9x - 7 ( corresponding to the 9x - 7 )

So 8x and 9x - 7are vertical angles and congruent

9x - 7 = 8x ( subtract 8x from both sides )

x - 7 = 0 ( add 7 to both sides )

x = 7

Then

9x - 7 = 9(7) - 7 = 63 - 7 = 56°

Answer:

Its Irrational because it does not repeat or terrminate.

Step-by-step explanation:

Rational numbers end, and this one does not not. It also is not a patteren so it dont repeat.

Answer:

20

Step-by-step explanation:

First, plug in -2 into each y:

3(-2)^2-4(-2)

Simplify 2^2 to 4:

3x4-4x-2

Simplify 3x4 to 12:

12-4x2

Simplify 4 x -2 to get -8:

12-(-8)

Remove parentheses:

12+8

Answer:

................

x=23°

x=14°

[tex]\\ \sf\longmapsto x+4x+65=180[/tex]

[tex]\\ \sf\longmapsto 5x+65=180[/tex]

[tex]\\ \sf\longmapsto 5x=180-65[/tex]

[tex]\\ \sf\longmapsto 5x=115[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{115}{5}[/tex]

[tex]\\ \sf\longmapsto x=23[/tex]

#2

[tex]\\ \sf\longmapsto 6x+2x+124=180[/tex]

[tex]\\ \sf\longmapsto 8x+124=180[/tex]

[tex]\\ \sf\longmapsto 8x=180-124[/tex]

[tex]\\ \sf\longmapsto 8x=56[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{56}{8}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

Answer:

x = 1 − √63i / 4 , x = 1 + √63i / 4

Step-by-step explanation:

Let's use the formula −b±√b2−(4ac) / 2⋅a

=  ax^2+bx+c=0

= 2x^2-x+8=0

Let's substitute 2 for a, −1 for b, and 8 for c in the formula of quadratic equation.

x = −1±√−12−(4⋅2⋅8) / 2⋅2

x = 1±√1−64 / 4

x = 1±√−63 / 4

x = 1±√63⋅−1 / 4

x = 1±√63√−1 / 4

x = {1−√63i / 4 , 1±√63i / 4}

Answer: 4 2/3 + 1/6 = 4 5/6

Step-by-step explanation:

4 2/3 + 1/6

Add whole numbers 4+0:   4

Combine fractions 2/3 + 1/6:   5/6

= 4 + 5/6 = 4 5/6

Answer:

B union C

Step-by-step explanation:

Hope it will help you

Step-by-step explanation:

everything can be found in the picture

Answer:

Step-by-step explanation:

JK + KL = JL

x² - 4x +3x - 2 = 28

x² - x - 2 = 28

x² - x -2 - 28 = 0

x² - x - 30 = 0

Sum = -1

Product = -30

Factors = -6 , 5    {-6 + 5 = -1 and (-6)*5 = -30}

x²  + 5x - 6x  - 30 = 0   {Rewrite the middle term}

x(x + 5) - 6(x + 5) = 0

(x + 5)(x - 6)= 0

x -6 = 0     {X +5 = 0 is ignored as measurement will not be negative}

x = 6

JK = x² - 4x

     = 6² - 4*6

     = 36 - 24

JK   = 12

KL = 3x -2

    = 3*6 - 2

    = 18 - 2

KL = 16

the answer is 8, -1

the picture attached is the steps

Answer:

B: $1,344

Step-by-step explanation:

Okay simple we know that it is guaranteed to be at least $1,200. So A. Isn't an option. So it's 4% over three years. So that makes a total of 12%. 12% of 1,200 is 144. But as I said it isn't A. so now  one step is left...

$1,200+$144=$1,344