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Answer:

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Answer:

[tex]\boxed {24 cm^{2}}[/tex]

Step-by-step explanation:

Finding the smaller side :

⇒ P = 2(l + w)

⇒ 20 = 2(6 + w)

⇒ 6 + w = 10

⇒ w = 4 cm

Finding area :

⇒ 6 × 4

⇒ 24 cm²

The volume of the prism as given with dimensions is; 840cm³.

The prism given in the task content can be further subdivided to be represented by two rectangular prisms as follows;

First prism = 10cm by 6cm by 8cm.

Second prism = 5cm by 12cm by 6cm

Hence, the volume of the prism is; (10×6×8) + (5×12×6) = 840cm³.

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Answer:

17 batches

Step-by-step explanation:

51/4 ÷ 3/4 = 51/4 x 4/3

                =17

Answer:

Irrational

Step-by-step explanation:

The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

For the given data the table can be made as shown below. The marginal distribution of tenure in counts can be calculated as,

Owns home = 71 + 5 = 76

Rents home = 13 + 27 = 40

Hence, The marginal distribution of tenure in counts who owns a home is 76, while those who rent a home is 40.

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Answer:

(x+2)(x-3)(x+3) this is ans

Answer:

a. (x + 2)

Step-by-step explanation:

x^2(x + 2) - 9(x + 2)

(x + 2)(x^2 - 9)

(x + 2)(x - 3)(x + 3)

Therefore the answer is (x + 2)

Answer:

A.

Step-by-step explanation:

Only table A shows a direct proportion between time and distance, so the answer is A.

Answer:

1/12  mile per minute

Step-by-step explanation:

1/4 mile in 3 minutes

 then miles per minute   is   1/4 mile / 3 min = 1/12  mile/min

Answer:

x = [tex]\frac{1}{2}[/tex] , x = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

(2x - 1)(3x + 4) = 0

equate each factor to zero and solve for x

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x = [tex]\frac{1}{2}[/tex]

and

3x + 4 = 0 ( subtract 4 from both sides )

3x = - 4 ( divide both sides by 3 )

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

So

And

The simplified expression is 5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6.

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

(5[tex]x^{4}[/tex] - 9x³ + 7x -1) + ( -8[tex]x^{4}[/tex]+ 4x² - 3x + 2) - ( -4x³ + 5x -1) (2x - 7)

Now,

5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 - ( -4x³ + 5x -1) (2x - 7)

=5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2-(-8[tex]x^{4}[/tex]+28x³ +10x² - 35x -2x +7

= 5[tex]x^{4}[/tex] - 9x³ + 7x -1 -8[tex]x^{4}[/tex]+ 4x² - 3x + 2 +8[tex]x^{4}[/tex]- 28x³  - 10x² + 35x + 2x - 7

=  5[tex]x^{4}[/tex] -37 x³ - 6x² +41x -6

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Answer:

3x²

Step-by-step explanation:

1 triangle is 1/2x²

2 triangles are x²

rectangle below is 2 squares

rectangle below is 2x²

x² + 2x² = 3x²

The greatest common factor for the numerical part will be 2.

The greatest common factor, as the name implies, is the greatest among all common factors among the quantities given.

We can factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could.

Those will together compose GCF(The greatest common factor).

Given;

[tex]6x^2-8+22[/tex]

Since the expression contains both numbers and a variable part.

For numerical parts 6, -8, 22

The factors are

6 = -6, -3. -2, -1,1, 2, 3 , 6

8 = -8, -4, -2, -1,1, 2, 4, 8

22 = -22, -11, -2, -1,1, 2, 11, 22

The greatest common factor for the numerical part will be 2.

The number part does not contain any common variable factor.

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Step-by-step explanation:

if7=25

therefore??=20

Cross multiply

7 multiply 20 and then divide by 25

=28/5

5.6

round off it will be 6

hope it helps

The reduction in price that will be applied is $200.

From the given information, the price function will be:

P - 680/(680 - 660) = (Q - 70)/(70 - 75)

P = -4Q + 960

Revenue will be:

= Price × Quantity

= (-4Q + 960)Q

= 4Q² + 960Q

Differentiating this will be Q = 120

Price will be:

= (-4 × 120) + 960

= 480

The reduced price will be:

= 680 - 480

= 200

The maximum revenue will be:

= 480 × 120

= 57600

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An equation is formed when two equal expressions. The equation of the line in point-slope form is y+2=0.5x.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The line that passes through point (-4, -4), (0, -2), and (4, 0), have the slope as,

m = (-2 - 0)/(0-4)

m = -2/-4

m=1/2

m = 0.5

The equation now in point slope form can be written as,

(y+2) = 0.5(x+0)

y+2=0.5x

Hence, the equation of the line in point-slope form is y+2=0.5x.

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Answer:

$46,819 is the average unemployed salary

Answer:

Your classmate says that there is not enough information to determine whether the two triangles below are congruent. Is your classmate correct?

yes it is

The two triangles are congruent triangles by RHS theorem of congruent triangles

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔMLJ

Let the second triangle be represented as ΔLJK

Now , the measure of ∠MLJ = 90°

The measure of ∠LJK = 90°

The measure of side MJ = measure of side LK

So , the two sides of the triangles are similar and they have a common hypotenuse

Therefore , the triangles are congruent by right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Hence , the triangles are congruent

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Coplanar points are those that are all in the same PLANE. The other point that lies on line AC is B.

Collinear Points: Points are collinear if they are all in the same straight line.

Coplanar points: Coplanar points are those that are all in the same PLANE.

A.) Another way to label KF is F K.

B.) The other point that lies on line AC is B.

C.) Yes, Any two points can form a line, thus, A and D are colinear.

D.) Coplanar points are those points that lie in the same place. Although D and K lie on the same plane,j; the point E does not lie on the same plane. Thus, points E, D, and K are not coplanar points.

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Answer:

∠ EAB = 85°

Step-by-step explanation:

∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so

∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°

the sum of the 3 angles in Δ ADC = 180° , that is

∠ EDC + ∠ BCD + ∠ EAB = 180°

63° + 32° + ∠ EAB = 180°

95° + ∠ EAB = 180° ( subtract 95° from both sides )

∠ EAB = 85°

Answer:

first of all the line EAB is a triangle and all the angles in a triangle equate to 180° therefore;

[tex]angle \: ebc = 148 \\ angle \: edc = 63 \\ 148 + 63 = 180[/tex]

next I subtract 148 from 63 which gives 85⁰ therefore eab is equals 85⁰

Answer:

Eight days in total.

Step-by-step explanation:

If it takes two painters four days to paint, one person should take twice as long, because of not having help from another person to make the painting process quicker. So, the single person would take eight days to paint in the same job. (Hope this helps!)

Answer:

Three linear equations that has a unique solution (1,2,-1) are:-

x+ y+ z =2

2x + y + 3z = 1

x+ 2y+ z  = 4

Step-by-step explanation:

Linear equations in three variables:-

If a, b, c and r are real numbers (and if a, b, and c are not all equal to 0)

then ax + by + cz = r is called a linear equation in three variables. (The

“three variables” are the x, the y, and the z.)

The numbers a, b, and c are called the coefficients of the equation. The

number r is called the constant of the equation.

so from from above explanation we can write 3 linear equations with three variables as.

x+ y+ z =2

2x + y + 3z = 1

x+ 2y+ z  = 4

Now to check if the given point (1,2,-1) is solution or not  these equations must satisfy this point,

x+ y+ z =2

1+ 2- 1 = 2

   2= 2

2x + y + 3z = 1

2×1 +2 - 3×1 = 1

     1=1

x+ 2y+ z  = 4,

1+ 2×2 -1 = 4

    4=4  

therefore all three equations satisfies the given point

hence these are the three linear equation having point (1,2, -1) as the unique solution

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The missing length is 14 unit.

The Trapezoid Midsegment segment theorem states that the length of midsegment of trapezoid is half the sum of the length of its two parallel sides of the trapezoid.

In a trapezoid, Midsegment = 1/2 × ( Sum of two bases of the trapezoid )

Here, The midsegment GH is given by 26.

One of the bases = 42

Let, another base be x

Then we have to use the formula of mid segment to find the another base of the trapezoid

∴ GH = 1/2 × (42+x)

⇒ 26 = 1/2 × (42+x)

⇒ 56 = 42+x

⇒ x = 56-42

⇒ x = 14

So, the missing length = 14 unit

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Answer:

The answer is A

Answers for different section are given below;

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, given function;

  f(x) = -x² - 4x + 6

1.    If we take -1 common from the given function, we get

                     f(x) = -1 (x² + 4x - 6)

                    f(x) = -1 (x² + 4x) + 6

     Thus, first block contains -1 and second block contains 4.

2.   Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².

                f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6

                f(x) = -1 ( x² + 4x + 2²) +4 + 6

Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.

3. Then we factorize the bracket and simplify outside the bracket;

               f(x) = -1 (x + 2)² + 10

Thus, first block contains -1, second block contains 2 and third block contains 10.

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Answer: 43.5

Step-by-step explanation:

[tex]A=\frac{1}{2}(8)(12)(\sin 65^{\circ}) \approx \boxed{43.5}[/tex]