Solve the given system by substitution.

Answer:

$592,395

Step-by-step explanation:

Because $1,623 x 365= $592,395 in a year

Answer

C

Step-by-step explanation:

Answer:

7.5N

Step-by-step explanation:

The equation for force:

F = m * a

where F is force, m is mass, and a is acceleration

F = .5 kg * 15 m/s² = 7.5 N

Answer:

answer is w

Step-by-step explanation:

Answer:

40+15i

Step-by-step explanation:

I don't know why you are doing this when you clearly know the answer.  Have a good day.

Answer:3

Step-by-step explanation:

10x+ 6= 36 Subtract six from each side then divide by ten leaves you with three

Answer:

20

Step-by-step explanation:

6+(n+10)=36

n=20

6+(20+10)=36

36=36

Answer:

B.

Step-by-step explanation:

slope = Rise  (y difference) / Run (x difference)

B, Rise = 3   run = 2 slope = 3/2

The graph with a line of slope 3/2 is graph B.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Slope of a line with two points (x, y) and (x', y') on the lines is,

Slope = (y' - y) / (x' - x)

Take any two points from all the three graphs given to find the slope.

A. Two points are (0, 4) and (6, 8)

Slope = (8 - 4) / (6 - 0) = 4 / 6 = 2/3

B. Two points are (0, 0) and (4, 6)

Slope = (6 - 0) / (4 - 0) = 6/4 = 3/2

C. Two points are (0, 2) and (2, 8)

Slope = (8 - 2) / (2 - 0) = 6/2 = 3

Hence the graph B has slope equals 3/2.

To learn more about Slope, click :

https://brainly.com/question/3605446

#SPJ2

Step-by-step explanation:

tan(A/2)

tan(A/2)=sinA/1+cos A

tan(A/2)= 5/13÷1+12/13

tanA/2=1/5

Answer:

tan([tex]\frac{A}{2}[/tex] ) = ± [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Using the trigonometric identity

tan ([tex]\frac{A}{2}[/tex] ) = ± [tex]\sqrt{\frac{1-cosA}{1+cosA} }[/tex]

Given

tanA = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

This is a right triangle 5- 12- 13 ( with hypotenuse 13 ), then

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{13}[/tex] , then

tan ([tex]\frac{A}{2}[/tex] )

= ± [tex]\sqrt{\frac{1-\frac{12}{13} }{1+\frac{12}{13} } }[/tex]

= ± [tex]\sqrt{\frac{\frac{1}{13} }{\frac{25}{13} } }[/tex]

= ± [tex]\sqrt{\frac{1}{25} }[/tex]

= ± [tex]\frac{1}{5}[/tex]

Answer:

a) The polynomial for the perimeter of the rectangle is = 14a - 2b

b) 150

Step-by-step explanation:

a) The formula for the area of a rectangle is given as:

P = 2L + 2W

From the question:

The length of a rectangle = 4a+3b

The width of a rectangle = 3a-2b.

The Perimeter of the rectangle is

Perimeter = 2(4a + 3b) + 2(3a - 2b)

Perimeter = 8a + 6b + 6a - 4b

Perimeter = 8a + 6a + 6b - 4b

Perimeter = 14a - 2b

Hence:

The polynomial for the perimeter of the rectangle is = 14a - 2b

b) What is the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number?

Non-zero whole number are single digit number such as: 1, 2, 3, 4, 5, 6, 7, 8, 9

The perimeter of the rectangle is = 14a - 2b

We are asked to find the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number.

In order to solve this, we would used the highest non zero whole number which is 9

Hence,

For a = 12 , b = 9

14 × 12 - 2(9)

= 168 - 18

= 150

Hence, the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number is 150

Answer:

Each triangle are acute.  

Step-by-step explanation:

Obtuse-an angle that is bigger than 90 degrees

Acute-an angle that is smaller than 90 degrees

Right triangle-an angle that is 90 degrees

Answer:

The length of the road in the model is 60 m.

Step-by-step explanation:

Given: scale = 1:19

         real-life length of the road = 1.14 km

                                                      = 1140 m

Let the length of the road in the model be represented by d. A scale is a representative fraction that can be used to either increase or decrease the length of an object.

Scale = [tex]\frac{length on drawing}{actual length}[/tex]

The actual length is the real-life length given as 1140 m.

So that,

[tex]\frac{1}{19}[/tex] = [tex]\frac{d}{1140}[/tex]

19d = 1140

⇒ d = [tex]\frac{1140}{19}[/tex]

       = 60

Therefore, the length of the road in the model is 60 m.

Answer:

because in the bottom eqution it shows us x-3=y therefor we could re-write the top equation as x+x-3=11

Yes...

x/3 > -1

what values of x make x/3 > -1

hint... your answer will look like like x > (number)

Answer:

(x – 9)(x² + 9x+81)

Step-by-step explanation:

The sum of cubes of a and b is given by:

a³ + b³ = (a + b)(a² - ab + b²)

While the difference of cubes is given as:

a³ - b³ = (a - b)(a² + ab + b²)

1) (x + 7)(x² – 7x + 14) = x³ -7x² + 14x + 7x² - 49x + 98

= x³ -35x + 98

2) (X + 8)(x² + 8x + 64) = x³ + 8x² + 64x + 8x² + 64x + 512

= x³ + 16x² + 128x + 8³

3)  (x – 9)(x² + 9x+81) = x³ + 9x² + 81x - 9x² - 81x - 729

= x³ - 9³

4) (X – 10)(x² – 10x + 100) = x³ - 10x² + 100x - 10x² + 100x - 1000

= x³ - 20x² + 200x - 10³

Step-by-step explanation:

cos60° = Adjacent/Hypotenuse = a/42.

=> a = 42cos60° = 21.

sin60° = Opposite/Hypotenuse d/42.

=> d = 42sin60° = 42(√3/2) = 21√3.

tan30° = Opposite/Adjacent = d/b.

=> b = d / tan30° = (21√3) / (1/√3) = 63.

sin30° = Opposite/Hypotenuse = d/c.

=> c = d / sin30° = (21√3) / (1/2) = 42√3.

Answer:

The length of the trip is 780 miles

Step-by-step explanation:

Given

[tex]Sleep = 15\%[/tex]

[tex]Distance\ Travelled = 663[/tex]

Required

Determine the length of the trip

If Connor slept for 15% of the trip, then Connor was awake for 85%

This is calculated as:

[tex]Sleep + Awake = 100\%[/tex]

[tex]15\% + Awake = 100\%[/tex]

[tex]Awake = 100\% - 15\%[/tex]

[tex]Awake = 85\%[/tex]

Represent the required distance with D.

So the expression for when she was awake is:

[tex]85\% * D = 663[/tex]

Make D the subject

[tex]D = \frac{663}{85\%}[/tex]

Convert % to decimal

[tex]D = \frac{663}{0.85}[/tex]

[tex]D = 780[/tex]

Hence, the length of the trip is 780 miles

Answer:

$960

Step-by-step explanation:

to find the commission you muake the percent into a decimal

.12

and then multiply by the sale

8000 × .12

answer is $960

Answer:

5m

Step-by-step explanation:

The expression is 5m(1 + 3m + 1) = 5m(3m + 2), which cannot be simpolified further.

Answer:

There isnt even a graph shown to graph on.

Answer:

attached

Step-by-step explanation:

1/4x ≤ 2   same as

x ≤ 8

Number line and 2 dimension graphs

07

Step-by-step explanation:

just want the answer right. thats the answer. not the answer btw just need points for my question cmon dude you know how it is. struggling really bad rn

The value of n in the given triangle is 11.

The incenter is one of the triangle's points of concurrency formed by the intersection of the triangle's 3 angle bisectors.

Given that, triangle DEF, where A is the incenter of the triangle, we need to find the value of n,

Since we know that, incenter is a point in triangle where all the angle bisector meets, therefore,

3n-6 = 27

3n = 33

n = 11

Hence, the value of n in the given triangle is 11.

Learn more about incenter of the triangle, click;

https://brainly.com/question/27868922

#SPJ7

Answer:

Tim read 54 pages on Thursday.

Step-by-step explanation:

Consider the provided information.

Tim read 2 pages on Monday. Each day after that, he reads triple the number of pages as the previous day.

Monday = [tex]2=2[/tex]

Tuesday = [tex]2\times 3=6[/tex]

Wednesday = [tex]2\times 3\times 3=18[/tex]

Thursday = [tex]2\times 3\times 3\times 3=54[/tex]

Hence, Tim read 54 pages on Thursday.

How many pages does Tim read on Monday? 2 pages.

If Tim tripled the amount that he read on Monday, how many pages did he read on Tuesday? 2 × 3 = 6 Pages

Repeat for Wednesday. 6 × 3 = 18 Pages

Repeat for Thursday. 18 × 3 = 54 Pages

Answer:

200.96 = area of Shaded portions.

Step-by-step explanation:

Area of the 2 stars.

I don't know if you can see this or not, but the 4 quarter circles surrounding the star is found by subtracting a full small square surrounding the star

Area of 1 star = 4 * (1/4) pi * r^2

Area of 1 star = 3.14 * 4^2

Area of 1 star = 50.24

Area of both stars = 100.48

Area of the 4 semicircles at each end

The 2 semicircles at one end figure = 1 circle

The two circles gives the total area of the 4 semicircles.

Area 1 circle = pr * r^2

Area 1 circle = 3.14 * (8/2)^2

Area 1 circle = 50.24

There are 2 such circles = 100.48

Total area of both results

Total Area = 100.48 + 100.48

Total Area = 200.96

Answer:

No, Noah used the diameter instead of the radius in the calculations.

V = 91.13π

Step-by-step explanation:

Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. His work is shown below.

V = πr3

V = π(9)3

V = π(729)

V = 972π cubic units

Is Noah’s work correct

Volume of a sphere, V = πr³

radius, r = diameter / 2

Diameter = 9 units

r = 9 / 2

= 4.5 units

Volume of a sphere, V = πr³

= π × 4.5³

= π × 91.125

= 91.125π

Approximately 91.13π

V = 91.13π

No, Noah used the diameter instead of the radius in the calculations.

Answer:

no, he used radius instead of diameter

Step-by-step explanation:

Answer: The answer is 6

Step-by-step explanation: 3x-15=3 Add 15 to both side

3x=18 Divide 3 to both side

3=  3

x=6   The answer

Answer:

2.3 repeating

Step-by-step explanation:

thats what i got

Answer:

Perimeter = 5 + 5 + 7.1 + 10 =27.1

area = (5 + 10)x5  / 2 = 37.5

Step-by-step explanation:

Slope formula: m = (x' - x)/(y' - y)

m-AD: (6-3)/(-5 - -9) = 3/4    (I'm not detail other Other slopes)

m- BC = 3/4

m-AB = - 4/3

m-AD = m-BC         AD // BC      (ABCD is a Trapezoid)

m-AB = - 1 / m-BC

AB ⊥ BC

segment length formula: d = √(x' - x)² + (y' - y)²

AD = √(-5 - -9)² + (6 - 3)² = √4² + 3² = √25 = 5

DC = √50 = 7.1

BC = √100 = 10

AB = √25 = 5

Perimeter = 5 + 5 + 7.1 + 10 =27.1

area = (5 + 10)x5  / 2 = 37.5

area ABCD = (5+10)x5  / 2 =