Please solve this question

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

[tex]T = (1, 8)[/tex]

[tex]E =(3, 8)[/tex]

[tex]X =(6, 2)[/tex]

[tex]A=(3, 2)[/tex]

[tex]S = (1, 4)[/tex]

The area of the pentagon is then calculated using:

[tex]Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|[/tex]

So, we have:

[tex]Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|[/tex]

Simplify the expressions in both brackets

[tex]Area = \frac 12|46 -84|[/tex]

[tex]Area = \frac 12|-38|[/tex]

Remove absolute bracket

[tex]Area = \frac 12 \times 38[/tex]

[tex]Area = 19[/tex]

Hence, the area of the pentagon is 19 square units

Read more about areas at:

https://brainly.com/question/1423568

Answer:

most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator

Answer:

equation : P(x) = 5x+60

Table :

If x (levi sells this many computers)

then y (levi makes this much money)

x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...

y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...

Step-by-step explanation:

This equation can be modeled by P(x) = 5x+60

P= levi's total pay

x = number of computers sold

This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.

i.e

[tex]\\ \sf{:}\Rrightarrow y+5=-1+5=4[/tex]

New co-ordinates are

Answer:

2(3×2)+2(3×1.5)+2(1.5×3)

Step-by-step explanation:

12+9+9

30

Answer:

30cm square

Step-by-step explanation:

2(3×2)+2(3×1.5)+2(1.5×3)

2[3×2+3×1.5+1.5×3]

2(6+4.5+4.5)

2×15

30

Answer:5

Step-by-step explanation:

Answer:

there are lots of ways. some of them are

1625/2, 3250/2, 4875/3........

Answer:

need to know the dimentions of the room

Step-by-step explanation:

Answer:

longitudinal

Step-by-step explanation:

Step-by-step explanation:

x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5

- x⁴ + x³ - 3x²

-------------------------

0 3x³ - 2x² + x - 3

- 3x³ + 3x² - 9x

-------------------------------

0 - 5x² + 10x - 3

- - 5x² - 5x + 15

-------------------------------------

0 15x - 18

the result is therefore

x² + 3x - 5 + (15x - 18)/(x² + x - 3)

Answer:

l: 1

k: 2

Step-by-step explanation:

The slope of a line is "the amount it goes up divided by the amount it goes right".

So if you pick a point on the line, and then step one grid position to the right, how much does it go up (or down, then you have a negative slope)?

In line l, it goes up one grid position for every step to the right, hence the slope is 1.

In line k, it goes up two positions for every step to the right, hence the slope there is 2.

Hope this explains it.

[tex](9x - 12) - (5x - 7)\\\\=9x-12-5x+7\\\\=4x-5[/tex]

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

Answer:

y = 1.5x + 5.5

Step-by-step explanation:

None of them are correct. The correct answer, y = 1.5x + 5.5, is not listed.

Answer:

Assuming the 2 in 3x2 is an exponent, then it is binomial.

Step-by-step explanation:

A binomial is an expression with two terms, in this case those two terms are 3x^2 and 5

Answer:

2.binomial

Step-by-step explanation:

3x2=1

5=2

so its a binomial

The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

What is reflection?

So, the △A'B'C' is:

△ABC:

Now, Translation: (x,y)→(x+2,y+1) (

(x: axis is the line of reflection)

△A'B'C'

Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

Know more about reflection here:

https://brainly.com/question/28419477

#SPJ1

Answer:

116−−√

110−−√

14√

18√

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Answer:

I believe it's 56

Hope this helps

Answer:

24%

Step-by-step explanation:

consider bag 1: there are 3 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 3/5

bag 2: there are 2 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 2/5

to find the probability of getting two vowel tiles (one from each bag), you multiply these two probabilities together:

3/5 *2/5 to get 6/25 which is equal to 0.24 or 24%

Answer:

10

x

2

−

x

−

16

re written: 10x2−x−16

Step-by-step explanation:

Answer:

The simplified answer is [tex]10x^2-x-16[/tex]

Step-by-step explanation:

[tex]2x+6x^2-10+4x^2-3x-6[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]

[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]

[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]

[tex]= 10x^2+-x+-16[/tex]

As a final result, the answer is [tex]10x^2+-x+-16[/tex].

Therefore, [tex]10x^2+-x+-16[/tex] is the answer.

Hope this helps!  

Have a nice day/night/afternoon.  

(Can you mark me brainliest?)

- ❤ 7272033Alt ❤

Answer:

I Believe the answer is (3x,-6y)

Step-by-step explanation:

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.

Answer:

I Believe the answer is (3x,-6y)

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).

Answer:

Between 3 and 4 hours

Step-by-step explanation:

Let's turn the sentence into an equation, suppose that both trucks will be traveling at a constant rate, let x be the number of hours truck A has been traveling, and let y be the number of hours truck B has been traveling. Then we can set up the equation:

[tex]45x+60y=360[/tex]

Both of these terms must add up to 360 since that will be the point where both trucks will meet. To solve this, we can use a graphing calculator:

(see picture)

Since both trucks left the warehouses at the same time, we need that:  [tex]x=y[/tex]

And the point in the graph that x=y is around 3.42 and 3.44, so we can conclude that both trucks must be traveling for 3-4 hours for them to meet on the road.

I hope this helps.

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)

Answer: 24/2^2=50−62−8

Step-by-step explanation:

The equations which is true equation is 24/2² = 50−6²−8.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1. 24/2² = 50−6²−8

LHS = 24/2² = 24/4 = 6

RHS = 50−6²−8 = 6

2. 56÷8+32=2⋅23

LHS = 56÷8+32 = 7 + 32 = 39

RHS = 2⋅23 = 46

3. 8²−5² =4²−7

LHS = 8²−5² = 39

RHS = 4²−7 = 21

4. 39−3⋅6=6⋅104+4

LHS = 39−3⋅6 = 35.4

RHS = 6⋅104+4 = 528

Hence, we can conclude that the equation 24/2² = 50 − 6² − 8 is true.

Learn more about Equation here:

https://brainly.com/question/29316263

#SPJ2

Answer:

Isosceles triangle.

Step-by-step explanation:

Step-by-step explanation:

B. -16 + (-7) ...this is the same as -16-7

Answer:

Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.

Step-by-step explanation:

64.5

Explanation:

-(4.1-3(2.2))=2.5

2.5÷(-0.2)^2=62.5

62.5+2=64.5

THEREFORE

the answer is 64.5

The solution of the mathematical expressions will be 64.5

What is Number system?

A system of writing to express the number is called number system.

Given that;

The mathematical expressions are,

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

Now,

Solve the expression as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

Using the BODMAS rule to solve the expressions as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

⇒ - [ 4.1 - 6.6 ] / (-0.2)²  + 2

⇒ - [-2.5] / (-0.2)²  + 2

⇒ 2.5 / 0.04  + 2

⇒ 62.5 + 2

⇒ 64.5

Therefore,

The solution of the mathematical expressions will be 64.5

Learn more about the mathematical expression visit:

brainly.com/question/2164351

#SPJ5