The included side between angle A angle C is side :

The included side between angle A angle B is side :

The included side between angle C angle B is side :

Answer: {a}_{10} = 128

Step-by-step explanation:

Answer:

The tax is 7% ^^

Step-by-step explanation:

Answer:

Sale tax is 7% or $8.82

Step-by-step explanation:

126 + 8.82 = 134.82 sales tax 7%

Answer:

1)  -2x-11

2) 1.3x-3

3) 5k-20

4) 21.84

Step-by-step explanation:

-2x-7+(-4)          -2x-7-4           -2x-11

5.2x+9-12-3.9x          1.3x+9-12      1.3x-3

5(k-4)    distribute        5k-20

5.46÷0.25=21.84

Step-by-step explanation:

= (x - 3)(2x² - 5x + 1)

= 2x³ - 5x² + x - 6x² + 15x - 3

= 2x³ + (-5 - 6)x² + (1 + 15)x - 3

= 2x³ - 11x² + 16x - 3

Option → C

The product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

The product of two polynomials is simply the multiplication of both polynomials together.

Given:

(x − 3)(2x² − 5x + 1)

Multiply using the distributive property

x(2x² − 5x + 1) -3(2x² − 5x + 1)

2x³ - 5x² + x - 6x² + 15x - 3

Combine like terms

2x³  - 11x² + 16x - 3

Therefore, the product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

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Answer:

y = -5x - 25

Step-by-step explanation:

Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)

y - 10 = -5(x -(-7))

y - 10 = -5(x + 7)

y - 10 = -5x - 35

y = -5x - 25

Answer:

y= -5x-25

Step-by-step explanation:

Equation of line with points given =

y = mx + b

m = -5 , x = -7 , y = 10 while the intercept, b is not given, so we need to find that...

Therefore, we substitute the value for the given equation

10 = -5*-7 + b

10 = 35 + b

b = 10 - 35

b = -25

Therefore we substitute the value for m and b to the equation of line

y = -5x - 25

Answer:

The one guy is right k equals 43.6

Hope This Helps!!!

The value of k using Vertical angles is 43.6 degree.

Vertical angles are a pair of non-adjacent angles that are formed by the intersection of two lines. When two lines intersect, they create four angles at the intersection point.

Vertical angles are the angles that are opposite to each other and share the same vertex but are not adjacent. They are Congruent.

As, k and 43.6 are Vertical angles.

So, k = 43.6

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The distance traveled by both cars is an illustration of a linear function.

Car A

Speed = 45 miles per hour

So, the coordinates of car A are:

[tex]\mathbf{(x,y) = (8,0) (9, 45) (10, 90) ....}[/tex]

Car B

Speed = 60 miles per hour

So, the coordinates of car B are:

[tex]\mathbf{(x,y) = (9, 0) (10, 60) (11, 120) ....}[/tex]

(a) The equation of both cars

Car A

This is calculated as:

[tex]\mathbf{y = mx+ b}[/tex]

Where m represents slope/speed.

So, m = 45

This gives

[tex]\mathbf{y = 45x + b}[/tex]

y = 0, when x = 8.

So, we have:

[tex]\mathbf{0= 45\times 8 + b}[/tex]

[tex]\mathbf{0= 360 + b}[/tex]

Solve for b

[tex]\mathbf{b=- 360}[/tex]

So, the equation of car A is:

[tex]\mathbf{y=45x - 360}[/tex]

Car B

This is calculated as:

[tex]\mathbf{y = mx+ b}[/tex]

Where m represents slope/speed.

So, m = 60

This gives

[tex]\mathbf{y = 60x + b}[/tex]

y = 0, when x = 9.

So, we have:

[tex]\mathbf{0= 60\times 9 + b}[/tex]

[tex]\mathbf{0= 540 + b}[/tex]

Solve for b

[tex]\mathbf{b=- 540}[/tex]

So, the equation of car B is:

[tex]\mathbf{y=60x - 540}[/tex]

(b) The graphs

See attachment

(c) The time which both cars meet

We have:

[tex]\mathbf{y=60x - 540}[/tex] and [tex]\mathbf{y=45x - 360}[/tex]

Equate both

[tex]\mathbf{60x - 540=45x - 360}[/tex]

Collect like terms

[tex]\mathbf{60x - 45x = 540- 360}[/tex]

[tex]\mathbf{15x = 180}[/tex]

Divide both sides by 15

[tex]\mathbf{x = 12}[/tex]

This means that both cars meet at 12:00pm

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Answer:

9.75

Step-by-step explanation:

|-6|+|15|=6+15=21

-6+3/4*21

-6+63/4

-6+15.75

9.75

Answer:

400

Step-by-step explanation:

Answer:

y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]

then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)

then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3

then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2

Answer: -1

Step-by-step explanation: 4 + (-3) = 1             1 + (-2) = -1

Answer: 1 hour and 50 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

Can someone tell me what happens in 2 hours

☞ 9m

☞ 16m

Formula: A = lw

Whereas:

A = area

l = length

w = width

[tex]a = lw \\ 9 \times 16 \\ a = 144m[/tex]

[tex]\huge\color{pink}\boxed{A = 144m}[/tex]

Answer:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

Answer:

an apple would remain

Step-by-step explanation:

Answer:

90!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because it starts from the smallest negative prefix to largest

Answer:

sin 2θ = -24/25

Step-by-step explanation:

see the below formula of sin x  in terms of tan x

by substituting => -4/3   /  ± √(16/9 + 1)

=> -4/3   /  ± √(25/9)

=> -4/3   / ±  5/3

=> ± -4/5

=> ± 4/5

as theta is in second quadrant is in 2nd quadrant sin value is positive

so sin θ = 4/5 and cos θ = -3/5

now sin 2θ = 2 sinθcosθ

= 2 * 4/5 * -3/5

= -24/25

Answer:

the first, second and fifth ones

Step-by-step explanation:

Answer:

288/5

Step-by-step explanation:

simplified: (2³x 9) x 4/5 = 288/5

Answer:

B - A = 4x - 10

Step-by-step explanation:

B - A

= 9x - 6 - (5x + 4) ← multiply terms in parenthesis by - 1

= 9x - 6 - 5x - 4 ← collect like terms

= 4x - 10

Answer:

4x-10

Step-by-step explanation:

Answer:

1.024km/h

Step-by-step explanation:

speed=distance/time

speed=420/6 hours 15 minutes

speed=420/410

speed=1.024km/h

Answer: 1/4

Step-by-step explanation:

He needs 4 3/4 whole tiles, you could round it to 5 whole tiles. He needed 4 3/4 whole tiles. To completely fill in all the spaces on the wall evenly, it needs to be 5 even, while, tiles. To fill in the empty space, you must subtract 5 and 4 3/4, which explains why Part A says “How many whole tiles does he need” and the answer “4 3/4” So, Subtraction: 5- 4 3/4 = 1/4!

Your welcome :)

Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

Given that,
Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction of a tile must he install at the end of the row to totally fill the space is to be determined.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total length of the wall = 21 3 / 8 = 21 . 375
Width of tile = 4 1/2 = 4.5
Now, the ratio of wall to tile = 21. 375 / 4.5
quotient = 18 Remainder = 3.375
Now the ratio of the remainder to the tile = 3.375 / 4.5 = 0.75 or  3 / 4.

Thus, Ken must install 3/4 fraction of tile at the end of the row to totally fill the space.

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An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The two numbers are 3842 and 2642.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Two numbers:

The difference between the numbers is 1200.

The total of the two numbers = 6484.

Let the numbers be M and N.

Now,

M - N = 1200 ____(1)

M + N = 6484 _____(2)

From (1) and (2) we get,

M = 1200 + N ____(3)

Putting (3) in (2) we get,

1200 + N + N = 6484

1200+ 2N = 6484

2N = 6484 - 1200

2N = 5284

N = 5284/2

N = 2642 putting in (3) we get,

M = 1200 + N

M = 1200 + 2642

M = 3842

Thus the two numbers are 3842 and 2642.

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Answer:

y=-1/3x+9

Step-by-step explanation:

Answer:

10 days

Step-by-step explanation:

15 men -----  12 days

18 men -----    x ?

They are inversely proportional

more men less days

15 / 18  * 12 = 10 days