Determine whether the dilation from the figure on the left to the figure on the right is an enlargement or a reduction. Then find the scale factor of the dilation.

A : Reduction scale factor 1/14
B : Enlargement; scale factor 14
C : Enlargement scale factor 0.5

Answer:

[tex]A \approx 1.488[/tex]

Step-by-step explanation:

Por definición de razones trigonométricas, tenemos las siguientes identidades:

[tex]\tan \theta = \frac{y}{x} = \sqrt{2}[/tex] (1)

[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (3)

Si [tex]\theta[/tex] es agudo, entonces [tex]x, y > 0[/tex].

De (1), suponemos [tex]x = 1[/tex] que [tex]y = \sqrt{2}[/tex], entonces los valores de las funciones seno y coseno:

[tex]\sin \theta = \frac{\sqrt{2}}{\sqrt{5}} = \sqrt{\frac{2}{5} }[/tex]

[tex]\sin \theta = \frac{\sqrt{10}}{5 }[/tex]

[tex]\cos \theta = \sqrt{\frac{1}{5} }[/tex]

[tex]\cos \theta = \frac{\sqrt{5}}{5}[/tex]

Por último, calculemos [tex]A[/tex]:

[tex]A = 3\cdot \left(\frac{\sqrt{10}}{5} + \frac{\sqrt{5}}{5} \right) - \sqrt{7}[/tex]

[tex]A \approx 1.488[/tex]

the answer is on the picture

Answer:

C = 20

Step-by-step explanation:

What happens if simultaneous Equations have two of the same variable like below? How would I solve it?

6A + 4B + 5C = 390

6A + 4B + 5.75C = 405​

Step 1

We solve for C first

6A + 4B + 5C = 390....Equation 1

6A + 4B + 5.75C = 405​... Equation 2

We substract Equation 1 from Equation 2

0.75C = 15

C = 15/0.75

C = 20

Answer:

3

Step-by-step explanation:

f(x) = 2x-5

Let x = 4

f(4) = 2*4 - 5

Multiply

f(4) = 8 -5

Subtract

f(4) = 3

Answer:

9

Step-by-step explanation:

sqrt(27*3)

sqrt(81)

sqrt(9*9)

9

Answer:

9

Step-by-step explanation:

27 * 3 = 81

√81 = 9

Answer:

The answer is below

Step-by-step explanation:

Trigonometric ratios shows the relationship between the sides of a right angled triangle and its angles. Some trigonometric ratios are:

sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent.

In triangle PQR:

tanθ = QR / PQ

substituting gives:

3/4 = 9 / PQ

PQ = 9 * 4 / 3 = 12 cm

Applying Pythagoras in triangle PQR gives:

PR² = PQ² + QR²

PR² = 12² + 9²

PR² = 144 + 81 = 225

PR = 15 cm

Also in triangle PRS:

PS = (5/3)PR = (5/3)*15 = 25 cm

PS² = PR² + RS²

25² = 15² + RS²

625 = 225 + RS²

RS² = 400

RS = 20 cm

Answer:

Step-by-step explanation:

Fraction              Decimal                Percentage

  [tex]\frac{19}{100}[/tex]                      [tex]0.19[/tex]                           [tex]19 \%[/tex]

  [tex]\frac{3}{10}[/tex]                        [tex]0.3[/tex]                            [tex]3 0\%[/tex]

  [tex]\frac{49}{100}[/tex]                      [tex]0.49[/tex]                           [tex]49 \%[/tex]

  [tex]\frac{7}{100}[/tex]                      [tex]0.07[/tex]                            [tex]7 \%[/tex]

Answer:

First row: 19%

Decimal for 3/10: 0.3

Fraction for 0.49: 49/100

Percentage for 0.49: 49%

Decimal for 7/100: 0.07

Fraction for 7/100: 7&

Also 3% should be 30%. Just to point that out :)

Answer:

B. 3 units right and 4 units up

The correct steps were applied to ABCD to obtain A'B'C'D is,

⇒ 3 units right and 4 units up

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

Translation applied to ABCD to obtain A'B'C'D.

Now, We get;

Coordinate of A = (2, 3)

Coordinate of A' = (5, 7) = (2 + 3, 3 + 4)

Hence, The correct steps were applied to ABCD to obtain A'B'C'D is,

⇒ 3 units right and 4 units up

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Answer:

-18 =x

Step-by-step explanation:

-3/4 = x/24

Using cross products

-3*24 = 4*x

-72 = 4x

Divide each side by 4

-72/4 = 4x/4

-18 =x

Answer:

B. -18

Step-by-step explanation:

solve the proportion using cross multiplication

swap the side

divide both side by 4

Answer:

Option A

then you would have an angle, a side and another angle (ASA) next to each other

Opt.B would be a second sude (SAS)

Opt.C is already given

Opt.D seems to be like (A-S-S). no pun intended.

The additional information need to be added to show the given triangles congruent is angle B = angle E

Triangles are said to be congruent if their corresponding sides and angles are congruent.

Given is a pair of triangles, Δ ABC and Δ DEF, in this angle A = angle D and AB = DE = 10,

We need to find one more reason to make them congruent by ASA rule,

In ASA rule of congruence, we have two corresponding angles congruent in the triangles and a side between them need to be congruent,

Here, the pair of two angles should be ∠ A and ∠ D and ∠ B and ∠ E, because the congruent sides AB and DE are in mid of them.

Hence, the additional information need to be added to show the given triangles congruent is angle B = angle E

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Answer:

Depending on how much he had before he bought the game system.

Answer:

663902.4

11 pavers

Step-by-step explanation:

V = l × w × h

V = 164 × 82 × 6.6

V =  

**********************************

The Swimming pool is a

rectangular prism. Write

the formula for its volume

and calculate it.

l...length of this prism

w...width of this prism

h...height of this prism

V ...volume

*********************************

To know how many

gallons are in the pool,

multiply the volume by

the number of gallons

in  gal...number of

gallons

********************************

gal = 88757 × 7.48

gal = 663902.4

********************************

First to not confuse

anybody on this, we need

to convert the meters into

centimeters.

Rule: 1 m = 100 cm

       3 m = 300 cm

       2.5 m = 250 cm

********************************

so for every meter, we

multiply 100 to get the

amount of centimeters

********************************

so then add the

centimeters of 3 m and

2.5 m

Answer: 550 cm

so then now compare

the measurings...

3 m = 300 cm

50cm × y = 300cm

50cm × 6 = 300cm

y = 6

2.5 m = 250 cm

50cm × y = 250cm

50cm × 5 = 250cm

y = 5

6 + 5 = 11 pavers

so Oliver will need 11 pavers

Answer:

Line A

Step-by-step explanation:

A line of symmetry is a line that divides a shape into exactly two equal halves.

A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.

From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.

Answer:

option D is the correct answer I think so

Answer:

x=-9/10

Step-by-step explanation:

2x+8x+16=7

Step 1: Simplify both sides of the equation.

2x+8x+16=7

(2x+8x)+(16)=7(Combine Like Terms)

10x+16=7

10x+16=7

Step 2: Subtract 16 from both sides.

10x+16−16=7−16

10x=−9

Step 3: Divide both sides by 10.

10x/10

=

−9/10

x=-9/10

Answer:

x = - 4 ± [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Given

x² + 8x + 16 = 7 ( subtract 16 from both sides )

x² + 8x = - 9

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(4)x + 16 = - 9 + 16

(x + 4)² = 7 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{7}[/tex] ( subtract 4 from both sides )

x = - 4 ± [tex]\sqrt{7}[/tex]

Then

solutions are x = - 4 - [tex]\sqrt{7}[/tex] , x = - 4 + [tex]\sqrt{7}[/tex]

Given:

The rule of translation is:

[tex](x+3,y-2)[/tex]

The trapezoid ABCD on the graph.

To find:

The coordinates of the point C'.

Solution:

From the given graph, it is clear that the coordinates of point C are (-2,4).

The rule of translation is:

[tex](x,y)\to (x+3,y-2)[/tex]

Using this rule of translation, we get

[tex]C(-2,4)\to C'(-2+3,4-2)[/tex]

[tex]C(-2,4)\to C'(1,2)[/tex]

Therefore, the coordinates of the point C' are (1,2).

Answer: [tex]\sqrt{30}/5[/tex]

Step-by-step explanation:

You should get this answer because the simpliest form of a radical is that you shouldn't have any radical in the denominator. In order to get rid of the radical sign in the denominator, you have to multiply the numerator and the denominator with the [tex]\sqrt{5}[/tex].

Look at the image below for further explanation

Answer:

x = 3

Step-by-step explanation:

3(x−5)+4x−2=4

Step 1: Simplify both sides of the equation.

3(x−5)+4x−2=4

(3)(x)+(3)(−5)+4x+−2=4(Distribute)

3x+−15+4x+−2=4

(3x+4x)+(−15+−2)=4(Combine Like Terms)

7x+−17=4

7x−17=4

Step 2: Add 17 to both sides.

7x−17+17=4+17

7x=21

Step 3: Divide both sides by 7.

7x

7

=

21

7

x=3

Respuesta:

$ 52.5

Explicación paso a paso:

Dado

Costo de la chaqueta = $ 75

Mark off = 30%

Descuento = 30% de $ 75

Precio de descuento = 0,3 * 75

Precio de descuento = $ 22.5

Costo después de la venta = $ 75 - $ 22.5

Costo después de la venta = $ 52.5

Por lo tanto, el costo después de la venta es de $ 52.5

Answer:

12 units

Step-by-step explanation:

the perimeter = 3 + 4 + 5 = 12 units

The perimeter of a triangle is 12 cm.

To find the perimeter of the triangle.

What is triangle?

A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°.

Use the distance formula to find the length between point A and B, B and C, C and A. Then add all three lengths together to get the perimeter.

 Distance = √ ( (x2 - x1)2 + (y2 - y1)2 )

Points A and B:

d = √(-3 +3)2 + (2 - 5)2

d = √ 0 + 9

d = √9

d = 3

Points B and C:

d = √ (1+ 3)2 + (2 -2)2

d = √ 16 + 0

d = √ 16

d = 4

Points C and A:

d = √ (-3 - 1)2 + (2 -5)2

d = √ 16 + 9

d = √ 25

d = 5

Perimeter=  3 + 5 + 4 = 12

So,  the perimeter of a triangle is 12 cm.

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Answer:

Step-by-step explanation:

[tex]\frac{1.107}{123} \times \frac{1.998}{333} = [/tex]

[tex] = > 9 \times 6[/tex]

[tex] = 45[/tex]

Answer:

Step-by-step explanation:

[tex]\frac{1.107}{123}*\frac{1.998}{333}= 0.009 * 0.006 = 0.000054[/tex]

1107÷ 123 = 9

The dividend has 3 decimal places. So, take 3 decimal places from the right towards left in the result  0.009

1.107 ÷ 123 = 0.0009

0.009 * 0.006

First multiply 9 * 6 = 54

Now, count the number of decimal place in the multiplicands. 0.009 has 3 decimal places and 0.006 has 3 decimal places. So totally, 3+ 3 = 6 decimal places in the result

0.009 * 0.006 = 0.000054

Answer:

a.) a² + b² + c ² + 2ab + 2ac + 2bc

b.) a² + b² + c² - 2ab - 2 ac + 2bc

c ) a² + b² + c² + 2ab - 2ac - 2bc

d.) a² + b² + c² - 2ab + 2ac - 2bc

Step-by-step explanation:

a) ( a + b + c )²

= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc

= a² + b² + c ² + 2ab + 2ac + 2bc

b.) ( a - b - c )

= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)

= a² + b² + c² - 2ab - 2 ac + 2bc

c.) ( a + b - c )²

= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)

= a² + b² + c² + 2ab - 2ac - 2bc

d.) (a - b + c ) ²

= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)

= a² + b² + c² - 2ab + 2ac - 2bc

Answer:

{F, G, H, I, J, K, L, M, N, O, P}

are the points between segment EQ :)

Answer:

489.40 cm³

Step-by-step explanation:

Since the cross section is parallel to their respective bases, hence:

Area of the cylinder cross section = area of the circular base = πr²

where r is the radius of the cylinder base.

Area of other cross section = area of rectangle base = 3.8 cm * 8.1 cm

Since both cross sections have same area, hence:

Area of cylinder cross section = Area of rectangle base

πr² = 8.1 * 3.8

r² = 9.8

r = 3.1 cm

Volume of the cylinder = πr²h = π(3.1)²(15.9) = 489.40 cm³

Answer:

[tex]{ \tt{y \: \alpha \: x }} \\ { \tt{y = kx}} \\ \\ { \bf{3 \frac{1}{2} = k \times 7 }} \\ { \bf{k = \frac{1}{2} }} \\ \\ { \tt{y = \frac{1}{2}x }} \\ \\ { \tt{y = 0.5x}}[/tex]

Answer:

Empty square = +

Empty Circle = ÷

Step-by-step explanation:

In order to eliminate the extra numbers from the equation you have to do the opposite of the problem. So...

-6x-1=5

-6x -1+1 = 5+1 (eliminating the 1 from the -6x side and adding it to the other side)

-6x = 6

-6x ÷ -6 = 6 ÷ -6 ( eliminating the-6 so that one side just has x)

so... x= -1

Answer: Option B is your correct answer.

Answer:

B

Step-by-step explanation:

the answer is B

If you substitute 10 in the equation

32(9)+25=345

Answer:

B and D

Step-by-step explanation:

Substitute the values in y = 32x+ 25

A. 9, 326

326=32(9)+25

326 don't equal to 315

A is not

B. 10, 345

345=32(10)+25

345=345

B is a point on the line of best fit.

C. (7,224)

244= 32(7)+ 25

244 don't equal to 249

D. (6,217)

217= 32(6)+ 25

217=217

D is a point on the line of best fit.

Brainliest please

Answer:

2700÷9=300

300×2=600liters yellow paint

Answer:

[tex](x−6)(x−4)[/tex]

Step-by-step explanation:

[tex]x^2 - 10x + 24[/tex]

[tex] {x}^{2} −6x−4x+24[/tex]

[tex]x(x−6)−4(x−6)[/tex]

[tex](x−6)(x−4)[/tex]

Answer:

(x - 4 )(x - 6 )

Step-by-step explanation:

[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]

Answer:

B

Step-by-step explanation:

There is a negative correlation. The direction of a line if we plot it generally through thi scatter plot would be going down, negative.

Answer:

Negative Correlation

Step-by-step explanation:

Because the graph shows that the y axis is on 4 and then goes down to 2