Find the area of the polygon

Answer:

the answer is 60 because 2 times 30 is 60

Step-by-step explanation:

Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

Answer: Tons

Step-by-step explanation: A ship is SUPER heavy.

Answer:

36 teachers total

Step-by-step explanation:

Answer:

you have to do the sales tax, times the price $3.10

then you add the $3.10 to the original price which is $41.85

Step-by-step explanation:

Answer:

0.887966

Step-by-step explanation:

1. Divide by 3500

(5000/3500)(2^x) = (3^x)

2. divide by 2^x and simplify

10/7 = (3/2)^x.

3. apply 'ln' function

ln(10/7) = xln(3/2)

4. divide ln(3/2)

ln(10/7) / ln(3/2) = x

x = 0.87966

Answer:

65 percent chance right

Step-by-step explanation:

so she opens it 13 out of 20 times, so divide 13 by 20 and you get it

Answer:

10, 12

Step-by-step explanation:

Answer:

okay the answer 13.02 enjoy

Answer:

v=20

Step-by-step explanation:

multiply both sides by 4

1/4*4=1

5*4=20

Answer:

Step-by-step explanation:

Is the second exponent 6, or 6x ?

If it is 6x, then x = -½

Answer:

B

9/12 carton

Step-by-step explanation:

Get both fractions to have the same denominator.

So make 3 into 12 by multiplying numerator and denominator by 4.

1×4/ 3×4 = 4/12

Now you can add the fractions.

5/12 + 4/12

= 9/12 Carton

Answer: 10

Step-by-step explanation:

To work out the area of this shape you have to split this into 1 square and 2 triangles.

The formula of the area of the triangle is base x height divided by 2

The first triangle on the left would be 2x2/2=2

The area of second triangle on the left is 4x2/2=4

The formula for the square is base x height.

Then to work out the area of the square you do 2x2=4

So, to work out the area of the whole shape you add all of the areas together.

2+4+4=10

If

f(x) = ax ³ + bx ² - 5x + 9

then

f '(x) = 3ax ² + 2bx - 5

Given that f (-1) = 12 and f '(-1) = 3, we get the system of equations

-a + b + 5 + 9 = 12

3a - 2b - 5 = 3

or

-a + b = -2

3a - 2b = 8

Multiply through the first equation by 2 and add it to the second one to eliminate b and solve for a :

2(-a + b) + (3a - 2b) = 2(-2) + 8

-2a + 2b + 3a - 2b = -4 + 8

a = 4

Substitute this into the first equation above to solve for b :

-4 + b = -2

b = 2

Answer is a = 4, b = 2.

First derivative of an equation:

The derivative formula is one of the basic concepts used in calculus and the process of finding a derivative is known as differentiation. The derivative formula is defined for a variable 'x' having an exponent 'n'. The exponent 'n' can be an integer or a rational fraction. Hence, the formula to calculate the derivative is:

               [tex]\frac{d}{dx} x^{n} = n x^{n-1}[/tex]

(Given)

[tex]f(x) = ax^{3} + bx^{2} - 5x + 9[/tex]

And f'(x) we get ,  [tex]f'(x) = 3ax^{2} + 2bx-5[/tex]

Now, also given f(-1) = 12

=> [tex]f(-1) =a (-1)^{3} + b(-1)^{2} - 5 (-1) + 9[/tex]

=> 12 = -a + b +5 + 9

=> a = b + 2 ------( 1 )

Also given,  f'(-1) = 3.

i.e.,  [tex]3 = 3a(-1)^{2} + 2b(-1) - 5[/tex]

3 = 3a -2b -5

From eq - (1) we can replace a.

3 = 3(b + 2) - 2b - 5

3 = 3b + 6 - 2b - 5

b = 2.

a = 4.

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Answer:

angle abc =140°

and bd bisected by bd so, bd divede angle abc.

angle dbc= angle abc / 2

angle dbc=140°/2

angle dbc=70°

The measure of angle DBC from the given figure is 70°.

The measure of angle ABC is 140°.

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

Angle bisector BD is bisecting angle ABC equally, which is

∠ABC=∠ABD+∠DBC

⇒ 140°=∠DBC+∠DBC

⇒ 2∠DBC=140°

⇒ ∠DBC=70°

Therefore, the measure of angle DBC from the given figure is 70°.

Learn more about the angle bisector here:

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Answer:

x=27

Step-by-step explanation:

Hey there!

the exterior angles of a quadrilateral add up to equal 360

so 360=2x+40+4x+3x+x+50

step 1 combine like terms

2x+4x+3x+x=10x

50+40=90

now we have

360=10x+90

step 2 subtract each side by 90

360-90=270

90-90 cancels out

now we have 270=10x

step 3 divide each side by 10

270/10=27

we're left with

x=27

Answer:

A

Step-by-step explanation:

Answer:

the area of the floor that is not carpeted 19 m squared

Step-by-step explanation:

7x5 =35  m squared = area of the floor

 4x4 = 16 squared =(area of the carpeted floor)

35-16 = 19

Answer:

b

Step-by-step explanation:

you see is equal it means that on might likely to be a boy

Answer:

P = 22 ft

A = 18 ft²

See picture

Step-by-step explanation:

The perimeter is all the sides added together. You have to find the missing values. The missing vertical value is 2.5 (4-1.5). The missing horizontal value is 4 (7-3).

Add all the sides together for the perimeter.

Split the shape into 2 rectangles to find the area. Find the area of each rectangles, then add them together to find the total area.

Answer:

3

Step-by-step explanation:

Answer:

[tex]\Large \boxed{\sf 384 \ m^2}[/tex]

Step-by-step explanation:

Surface area ⇒ area of 2 triangles + area of 3 rectangles

[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]

Answer:

5). x = 11.9°

6). x = 27.2°

Step-by-step explanation:

5). By applying cosine rule in the given triangle,

   cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(32)° = [tex]\frac{x}{14}[/tex]

    x = 14cos(32)°  

    x = 11.87

    x ≈ 11.9°

6). By applying sine rule in the given triangle,

    sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    sin(54°) = [tex]\frac{22}{x}[/tex]

     x = [tex]\frac{22}{\text{sin(54)}}[/tex]

     x = 27.19°

     x ≈ 27.2°

Step-by-step explanation:

3/4+3/8

1.125-5/8

= 1/2 of juice

Answer:

0.79 = 79% probability that a seed selected at random from the mixed will germinate.

Step-by-step explanation:

Probability of a seed germinating:

85% of 40%(from company A)

75% of 60%(from company B)

Then

[tex]P = 0.85*0.4 + 0.75*0.6 = 0.79[/tex]

0.79 = 79% probability that a seed selected at random from the mixed will germinate.