What is the equation of the line graphed below?

Answer:

b)480 cm^2

Step-by-step explanation:

perimeter=(16+12+20) cm

=48 cm

lateral surface area= perimeter × height

=48×10 =480 cm^2

Answer:

B. $1188

Step-by-step explanation:

If he makes $99 per room, add all the rooms first:

3 + 5 + 4 = 12 rooms total

Then multiply the number of rooms by the price per room:

$99 * 12 = $1188

Answer:

Step-by-step explanation:

Tricky i give that to the question that so i think f 4 maybe it doesn't show  the options

Answer:

\( x+y = 30\)   (1)

\( 1.95x+ 2.85y = 78.30\)   (2)

From equation (1) we can solve for x and we got:

\( x = 30-y\) (3)

Replacing (3) into (2) we got:

\( 1.95(30-y) +2.85 y = 78.30\)

And solving for y we got:

\( 58.5 -1.95 y +2.85 y = 78.30\)

\( 0.9 y = 19.8\)

\( y = 22\)

And then solving for x we got:

\( x = 30-22 = 8\)

So then we have 8 donuts and 22 cupcakes

Step-by-step explanation:

Let x the number of donuts and y the number of cupcakes, from the info given we can set up the following equations:

\( x+y = 30\)   (1)

\( 1.95x+ 2.85y = 78.30\)   (2)

From equation (1) we can solve for x and we got:

\( x = 30-y\) (3)

Replacing (3) into (2) we got:

\( 1.95(30-y) +2.85 y = 78.30\)

And solving for y we got:

\( 58.5 -1.95 y +2.85 y = 78.30\)

\( 0.9 y = 19.8\)

\( y = 22\)

And then solving for x we got:

\( x = 30-22 = 8\)

So then we have 8 donuts and 22 cupcakes

Answer:

The answer is "\(\frac{1}{25}\)"

Step-by-step explanation:

They might claim that perhaps the ratio to Raul would've been:\(\frac{y}{x} = \frac{5}{125} = \frac{1}{25}\) per each 125(x) page, which he reviewed throughout a summer competition.

Raul's cost per unit for each paragraph reads is \(\frac{1}{25}\) page points, that's why the model a link with the same unit rate. please find the graph in the attached file.

Answer:

D.6x-3

Step-by-step explanation:

we have , (5+4x)+(2x-8)

              =5+4x+2x-8

              =(4x+2x)+(5-8)

              =6x-3

Answer:

which language is this????

Answer:

Step-by-step explanation: Three line segments can form a triangle, if the sum of any two lengths is greater than the third length. In A), 8 + 7 = 15 < 16. So, A cannot form a triangle.

Step-by-step explanation:

you have to study

Answer:

A,B and D form a triangle

Step-by-step explanation:

A - Side = 16 cm, side = 8 cm, side = 7 cm

16>8+7=15 form a triangle

B.- Side = 16 cm, side = 9 cm, side = 7 cm

16>9+7=16 form a triangle

C - Side = 17 cm, side = 12 cm, side = 7 cm

18>12+7=19 not form a triangle

D - Side = 17 cm, side = 11 cm, side = 5 cm

17>11+5=16 form traingle

Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

Know more about Square roots,

https://brainly.com/question/16113248

#SPJ1

Given:

System of linear equations.

Explanation:

System 1:

The above system of equations can be simplified ELIMINATION BY SUBTRACTION.

System 2:

The above system of equations can be simplified using the SUBSTITUTION METHOD.

System 3:

The above system of the equation can be simplified using ELIMINATION BY SUBTRACTION.

System 4:

The above system of the equation can be simplified using ELIMINATION BY SUBTRACTION.

System 5:

The above system of the equation can be simplified using ELIMINATION BY MULTIPLICATION.

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

For moresuch questions on equivalent visit:

https://brainly.com/question/2972832

#SPJ8

Answer: 117.2%

Step-by-step explanation:

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

= (1.172 × 100) × 1/100=117.2/100

Write in percentage notation: 117.2%

Answer:

1.172 as a percent is 117.2%

Step-by-step explanation:

To turn a decimal into a percent just move the decimal point(.) 2 spaces back.

To turn a Percent to a decimal move the move the decimal (.) two spaces up.

(If you dont see the decimal in the Percent it is alway behind the the last number) EX: 70% would be .70 as a decimal.

\( {x}^{ 2 - 2} = {x}^{0} = 1\)

ok done. Thank to me :>

1) y = -3x and y = -3x + 2: inconsistent system of equations.

2) y = x - 5 and -2x + 2y = - 10: consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15 : consistent and independent.

The given equation are:

The graph for each system of equations is plotted.

1) y = -3x and y = -3x + 2

From the graph 1 it is shown that the lines for the each equation form the parallel lines.

Thus, system of equations are inconsistent.

2) y = x - 5 and -2x + 2y = - 10

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

Know more about the inconsistent system of equations

https://brainly.com/question/19282045

#SPJ1

Answer:

14

Step-by-step explanation:

angle 90° is opposite the side x. angle 45° is opposite side 7√2.

x/sin 90 = (7√2)/sin 45

multiply both sides by sin 90 (sin 90 is = 1).

x = (7√2)/sin 45

 = 14

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

For more such questions on Inverse of matrix:

https://brainly.com/question/27924478

#SPJ8

By Side - Angle - Side Congruence Rule the given triangles are Congruent

What is SAS Rule of Congruence?

That is stated in the SAS regulation. If two sides and the included angle of one triangle equal two sides and the included angle of another, the triangles are congruent. An included angle is one created by the intersection of two specified sides.

Solution:

By Side - Angle - Side Congruence Rule the given triangles are Congruent

Since, two sides are equal andd the angle included between the sides is equal to

To learn more about SAS Congruence Rule from the given link

https://brainly.com/question/29789996

#SPJ1

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120

Answer:

First step: Combined like terms on left side

Second step: Combined like terms on both sides

Third step: Simplified y multiplying both sides by 2/5

Answer:

No Solutions

Step-by-step explanation:

1. Substitute the 2x + 1 in for the y in the first equation. Rewrite it as 2x - (2x + 1) = 2.

2. Add the opposite and change the equation to 2x + -1(2x + 1) = 2.

3. Use the distributive to make the equation look like this: 2x + -2x + -1 = 2

4. Combine like terms and add 2x and -2x. They cancel each other out.

5. You will end up with -1 ≠ 2. Since -1 and 2 are not equal, there are no solutions.

Answer: h2=a2-x2

Step-by-step explanation:

e2020

The equation that is solved for h² will be given as h² = (a² + c²)² / b².

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.

From the graph, the equation is given as,

x = a² / h            ....1

b - x = c² / h     .....2

From equations 1 and 2, then we have

x + b - x = a² / h + c² / h

b = (a² + c²) / h

h = (a² + c²) / b

h² = (a² + c²)² / b²

The equation that is solved for h² will be given as h² = (a² + c²)² / b².

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ5

6(x-1) = 9(x+2)

Use distributive property on both sides:

6x-6 = 9x + 18

Subtract 6x from both sides:

-6 = 3x + 18

Subtract 18 from both sides:

-24 = 3x

Divide both sides by 3:

X = -8

Answer:

x=−8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*(x-1)-(9*(x+2))=0

(6 • (x - 1)) -  9 • (x + 2)  = 0

6 • (x - 1) -  9 • (x + 2)  = 0

Pull out like factors :

-3x - 24  =   -3 • (x + 8)

-3 • (x + 8)  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x+8 = 0

Subtract  8  from both sides of the equation :

  x = -8

Answer:

13.

Step-by-step explanation:

\(42 = a + (a+1) + (a+2) = 3a + 3 = 3(a+1)\)

Then, \(a+1 = 14\), so \(a=13.\)

By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.

The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.

Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"

Read more about Property of Equality

brainly.com/question/26160231

#SPJ1

Answer:

the answer is y=8x+42

Step-by-step explanation:

y-y=m(x-x¹)

y-2=8(x-(-5))

y-2=8x+40

+2 +2

y=8x+42

The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;

1. The area is about 15.16 units²

2. The coordinates of the points are;

(i) B(5, 8)

(ii) C(8.58, 4)

(ii) D(8,58, 1.21)

A quadrilateral is a four sided polygon.

1. The coordinate of the point C can be found as follows;

Let (x, y) represent the coordinates of the C, we get;

(x + 8)/2 = 5

x = 2 × 5 - 8 = 2

(y + 8)/2 = 6

y = 2 × 6 - 8 = 4

The coordinates ot the point C (2, 4)

The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)

Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)

The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13

CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;

(4 - y)/(2 - x) = -(5 - x)/(6 - y)

y - 4 = (-4/7)(x - 2)

y - 6 = (7/4)(x - 5)

(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6

x = (17/5) = 3.4

y = (7/4)((17/5) - 5) + 6 = 3.2

The coordinates of the point E is (3.4, 3.2)

The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)

Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)

Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)

Area of the figure is therefore;

2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))

y - 6 = (1/3)·(x + 1)

y = (1/3)·(x + 1) + 6

The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2

Slope of the segment BE = -1/(-1/2) = 2

Equation of BE is; y - 4 = 2·(x - 3)

y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6

Therefore, x = 5

y = (1/3)·(5 + 1) + 6 = 8

(ii) Area of the triangle EBC = 24 unit²

EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20

Therefore;

BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)

(x - 5)² + (y - 8)² = 28.8

y = 4, therefore;

(x - 5)² + (4 - 8)² = 28.8

(x - 5)² = 28.8 - (4 - 8)² = 12.8

x = √(12.8) + 5

(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)

x = √(12.8) + 5

Therefore;

y - 4 = (-1/2)((√(12.8) + 5) - 3)

y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21

Learn more on parallel and perpendicular lines here: https://brainly.com/question/29526529

#SPJ1

Answer:

6ft

Step-by-step explanation:

Just use 11 ft - 5ft = 6 ft

Have a good day