Find the gradient of the following line

Answer:

RS = 19

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is

- 5x + 44 = [tex]\frac{1}{2}[/tex] (18 + 4x) ( multiply both sides by 2 to clear the fraction )

- 10x + 88 = 18 + 4x ( add 10x to both sides )

88 = 18 + 14x ( subtract 18 from both sides )

70 = 14x ( divide both sides by 14 )

5 = x

Then

RS = - 5x + 44 = - 5(5) + 44 = - 25 + 44 = 19

Answer:

$1182.65

Step-by-step explanation:

Given :

Fortnight gross pay = $1300

Given :

PAYE: $31.85 FNPF: 5% HEALTH INSURANCE: $20.50 calculate her fortnightly net pay

FNPF = 5% = 0.05 * $1300 = $65

PAYE = $31.85 ; HEALTH INSURANCE = $20.50

Total deduction = $(65 + 31.85 + 20.50) = $117.35

Net pay :

Gross pay - deduction

$1300 - $117.35 = $1182.65

Answer:

The volume of the hollow ball will be equal to the difference between the volume of a sphere with the outer radius and the volume of a sphere with the inner radius.

Remember that the volume of a sphere of radius R is given by:

V = (4/3)*pi*R^3

where pi = 3.14

Then if R is the outer radius, and r is the inner radius, the volume of the hollow ball is:

V = (4/3)*pi*( R^3 - r^3)

In this case, we have:

R = 200m

r = 100m

Then the volume of the hollow ball is:

V = (4/3)*3.14*( (200m)^3 - (100m)^3)

V = 29,306,666.67 m^3

Now, if this hollow ball is made of iron, we want to find the mass.

Remember the relation:

Mass = Density*Volume.

We know that the density of the iron is:

D = 7300 kg/m^3

Then the mass of this hollow ball is:

M = (7300 kg/m^3)*(29,306,666.67 m^3) = 213,938,666,666.6 kg

Answer:

[tex]98.28\:\mathrm{ft^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is the width of the prism, and [tex]h[/tex] is the height of the prism.

Substituting given values, we get:

[tex]V=2.5\cdot 4.25\cdot 9.25=98.28125\approx \boxed{98.28\:\mathrm{ft^3}}[/tex]

Since "Simplify your answers" is very subjective, I've rounded to the nearest hundredth as that is reasonably universal, but you may need to adjust the rounding as desired.

Answer:

I think the answer is 112.098 yards

Answer:

112 yards

It's 112.098, but the question says "about _____ yards", so I'd round it.

Step-by-step explanation:

Circumference is calculated by (2)(pi)(radius) or (pi)(diameter). We'll use the second one, since they gave you the diameter.

C = (pi)(diameter)

C = (3.14)(35.7)

C =112.098

Answer:

19.5 dollars

Step-by-step explanation:

9.75% of 200 is 19.5

Answer:

The Richter scale and how it measures earthquake magnitude. The Richter scale calculates an earthquake's magnitude (size) from the amplitude of the earthquake's largest seismic wave recorded by a seismograph. ... (That is, an earthquake measuring 5.0 releases 31 times more energy than an earthquake measuring 4.0.)

Answer:

convert km into m

1 km=1000m

360 km=1000*360m

=360000m

again,convert 3 hours into seconds

3 hours=60*60*3

=10800 second

average spped=total distance /time taken

=360000/10800

=33.33 m/s

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

calculator

Answer:

x = 19°

Step-by-step explanation:

We know that ∠UTV and ∠RTS are vertical angles, therefore is the measure of ∠UTV = 85, then the measure of ∠RTS would also be 85, by the "Vertical angles are congruent theorem.

=> ∠UTV ≅ ∠RTS

=> ∠UTV = 85°

=> ∠RTS = 85°

Now that we know all three angles of within the triangle, we can say that the sum of all three angles within the triangle is 180, we can conclude;

∠R + ∠T + ∠S = 180°

(3x) + (85°) + (2x) = 180°

5x + 85° = 180°

5x = 180° - 85°

5x = 95

x = 95/5

x = 19°

Hence, there is you're answer! x = 19°

Hope this helps!

Answer:

62 degrees

Step-by-step explanation:

Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.

Answer:

It's

Step-by-step explanation:

4:45am. That's the correct answer

15 minutes before 5 in the morning is written as 4:45am

Answer:

x=2

Step-by-step explanation:

Hi there!

Whenever we're solving an algebraic equation, our goal is always to isolate the variable, which in this case is x. We would do this by performing inverse operations on both sides of the equal sign to cancel values out.

[tex]10-2x + 3 = 5x-9 + 4x[/tex]

Combine like terms on both sides of the equal sign

[tex]10+ 3-2x = 5x+ 4x-9 \\13-2x = 9x-9[/tex]

Add 2x to both sides to cancel out -2x (addition is the inverse of subtraction)

[tex]13-2x +2x = 9x-9 +2x\\13 = 11x-9[/tex]

Add 9 to both sides to cancel out -9 and isolate 11x (addition is the inverse of subtraction)

[tex]13+9 = 11x-9+9\\22=11x[/tex]

Divide both sides by 11 to isolate x (division is the inverse of multiplication)[tex]\frac{22}{11} =\frac{11x}{11} \\2=x[/tex]

Therefore, x=2.

I hope this helps!

Answer:

1/4¹⁰

Step-by-step explanation:

this is the the simplified version for the question

Answer:

$318

Step-by-step explanation:

Calculation to determine the predicted end-of-year value of a portfolio

Given expression 1.08s + 1.02b

Now let determine the Predicted end-of-year value

Predicted end-of-year value=1.08(200) +1.02(100)

Predicted end-of-year value=216+102

Predicted end-of-year value=$318

Therefore the predicted end-of-year value of a portfolio will be $318

Answer:

11,25

Step-by-step explanation:

Answer:

5w-8/3=4w+2

-8/3=-1w+2

-8=-1w+6

-14=-1w

14=w

Hope this helps, have a great day :)

Answer:

D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1

Step-by-step explanation:

A. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 1 /2 , 1 /4 )

Focus:  

( 1 /2 , 0 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

− 6

− 1

− 2

1

2

1

4

1

0

2

− 2

B. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 /2 , 3 /4 )

Focus:  

( − 1 /2 , 1 )

Axis of Symmetry:  

x

=

−

1

2

Directrix:  

y

=

1

2

x

y

− 2

3

− 1

1

− 1

2

3

4

1

3

2

7

C. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 1 /2 , 3 /4 )

Focus:  

( 1 /2 , 1 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

7

− 1

3

1

2

3

4

1

1

2

3

D. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 , 0 )

Focus:  

( − 1 , 1 /4 )

Axis of Symmetry:  

x

=

− 1

Directrix:  

y

=

− 1

4

x

y

− 3

4

− 2

1

− 1

0

0

1

1

4

Answer:

Find the are

Step-by-step explanation:

pi method

They have equal lengths is the correct answer

Answer:

x = 21

Step-by-step explanation:

For a pentagon, n = 5.

Each angle measures:

(n - 2)180/5 = (5 - 2)(180)/5 = 108

5x + 3 = 108

5x = 105

x = 21

Answer:

hope this will help you more

Answer:

16/3

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

3h - j

3(8) - 11

24 - 11

13

Answer:

Step-by-step explanation:

table3 represents exponential function

Answer:

420

Step-by-step explanation:

just multiply all the numbers together

Answer: 420 cubic inches

Step-by-step explanation:

Use the formula V = lwh to solve.

V = L * W * H

V = 6 * 7 * 10

V = 420 cubic inches

Answer:

[tex]22[/tex]

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for [tex]?[/tex]:

[tex]\frac{28}{42}=\frac{?}{33}[/tex] (divide corresponding sides)

[tex]\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}[/tex]

Answer:

David=$8.8

Jo=$13.2

Mary=$22

Step-by-step explanation:

2+3+5=10

44/10=4.4

David=4.4x2=$8.8

Jo=4.4x3=$13.2

Mary=4.4x5=$22

8.8+13.2+22=44

Answer:

t + c = 623

t = c + 135

thomas has 379 songs downloaded, and carl has 244

Step-by-step explanation:

togheter they have 623 songs, aka the sum of thomas (t) and carl (c) is 623.

t + c = 623

thomas has 135 more than Carl. so Carl plus 135 is equal to thomas

t = c + 135

now you can solve it:

t + c = 623

(c+135) + c = 623

c + c = 488

2c = 488

c = 244

carl has 244 songs downloaded

t  + 244 = 623

t = 379

thomas has 379 songs downloaded

The system of equations represents t + c = 623 and t = c + 135 and Tomas has 379 while Carl has 244 downloaded.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

As per the given,

Together they have 623 songs downloaded.

t + c = 623

Tomas has 135 more songs downloaded than Carl.

t = c + 135

By substitution,

c + 135 + c = 623

2c = 488

c =244

And , t = 244 + 135 = 379

Hence "The equations in the system show that Tomas has 379 while Carl has 244 downloaded and that t + c = 623 and t = c + 135 are represented".

For more about the equation,

brainly.com/question/10413253

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