1. What is the center of dilation used to dilate quadrilateral WXYZ to quadrilateral W'X'Y'Z'?

Answer:

[tex]10.4\: \sf cm^2\:(3\:sf)[/tex]

Step-by-step explanation:

[tex]\Large\boxed{\sf Formulae}[/tex]

Sine Rule

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Cosine rule

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

Area of a triangle

[tex]\textsf{Area of a triangle}=\dfrac12ab\sin C[/tex]

where:

[tex]\Large\boxed{\sf Calculation}[/tex]

To find the area of ΔBCD, find:

Then use the sine rule for area of a triangle

Calculate length CD using cosine rule:

[tex]\implies CD^2=4.9^2+3.8^2-2(4.9)(3.8)\cos 80^{\circ}[/tex]

[tex]\implies CD^2=31.98334186...[/tex]

[tex]\implies CD=5.655381673...\:\sf cm[/tex]

Calculate ∠ADC using sine rule:

[tex]\implies \dfrac{\sin 80}{CD}=\dfrac{\sin ADC}{4.9}[/tex]

[tex]\implies ADC=\sin^{-1}\left(\dfrac{4.9 \sin 80}{CD}\right)=58.568949^{\circ}[/tex]

Therefore, ∠CDB = 180° - 58.568949° = 121.431051°

Use sine rule to calculate DB:

[tex]\implies \dfrac{DB}{\sin 25}=\dfrac{CD}{\sin CBD}[/tex]

[tex]\implies DB=\dfrac{5.655381673\sin25}{\sin 33.568949}=4.322471258..\: \sf cm[/tex]

[tex]\Large\boxed{\sf Solution}[/tex]

Use the sine rule for area of a triangle to find area of ΔBCD:

[tex]\implies A=\dfrac12(CD)(DB)\sin CDB[/tex]

[tex]\implies A=\dfrac12(5.655381673)(4.322471258)\sin (121.431051)[/tex]

[tex]\implies A=10.4\: \sf cm^2\:(3\:sf)[/tex]

Step-by-step explanation:

5.21× 3.4 = 17.714

thank u

Answer:

2.6 inches

Step-by-step explanation:

As shown in the title if length is x,

x * 1/x = 8/3  * x

8 * 1 = 3x

x = 8/3 in

= 2.6 in

The new length of the rectangular print will be 2.68 feet.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Given a rectangular print with dimensions,

Length = 1 foot = 12 inches

Width = 8 inches.

Area = 12(8) = 96 square inches

Now,

The area of the new print should be the same

So,

96 = Length × 3

Length = 32 inches = 2.67 feet.

Hence "The new length of the rectangular print will be 2.68 feet".

For more about rectangles,

https://brainly.com/question/15019502

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Answer:

6+12=18

Step-by-step explanation:

the area of the smaller rectangle+the area of the bigger rectangle=18

Answer:

30 degrees

Step-by-step explanation:

The angles of each side of a hexagon is 120 degrees.

The sum of interior angles in a shape is (n-2) * 180.

So,

(6-2) * 180 = 4 * 180 = 720 degrees

This is the total degrees of the hexagon.

Dividing the total degrees by 6 angles gives us 120 degrees for each angle.

Angle AEF = angle FED - angle AED.

Angle FED = 120 degrees

Angle AED = 90 degrees

120 - 90 = 30 degrees

Here is the Answer:

Step-by-step explanation:

Answer:

The price is $29.75

Step-by-step explanation:

Because it is 15 percent off, that means that the jeans are priced at 100%-15%=85%. To convert a percent to a decimal, move the decimal two places to the left. This gives us .85. Multiply 35 by .85 and you will get 29.75. Hope this helps!

Answer:

22 is the perimeter.

Step-by-step explanation:

You find the perimeter by adding up all of the sides of a shape. 9 + 9 = 18. 18 + 4 = 22.

Answer:

3

Step-by-step explanation:

If each packet has 500 grams, and each person eats 100 grams, then one packet will feed five people (500/100=5). Since he will be buying pasta for 12 people, he will need to buy three packets, because 3*500=1500 grams. While there is some extra, buying only two packets would result in not enough pasta.

Answer:

.858 cm^2

Step-by-step explanation:

Area of square - area of circle = grey corner areas

(2 * 2)  - ( pi * 1^2 ) =

4 - pi = .858 cm^2

area square= side²

= (x-6)²

= x²-12x+36

Answer:

36

Formula:
Side² = Area
Step-by-Step Explanation
-6 x -6 = 36

Answer:

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

14:8 = 14/8 = 7/4

28:10 = 28/10 = 14/5

Since the fractions are not equal, it is not a proportion.

Answer: no

is the sign that you mean ÷ ?

if so:

-3×7÷5×1/7

= -21÷5×1/7

=-21/5 × 1/7

= (-21×1) / (5×7)

= -21/35

=-3/5

=-0.6

if the diameter is 8, then its radius is half that or 4.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-8}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-8)]^2~~ + ~~[y-(-5)]^2~~ = ~~4^2\implies (x+8)^2+(y+5)^2=16[/tex]

Answer:

c; 63 square cm

Step-by-step explanation:

the area of a trapezoid can be described by the equation a = (1/2)(h)(b1 + b2)

this means the height times base 1 and base 2 added together divided by 2

(1/2)(6)(8 + 13) is the equation

this can become 3(21)

which is ultimitaly 63

Answer:

it's gonna be 63cm^2

Step-by-step explanation:

First, were gonna find the area of the rectangular portion, which is 8x6, which is 48cm^2

Next, well do the triangle part. So, we have to subtract 13-8 to get the width of the triangle.

Next, we have to find the area for the triangle. The formula is length x width / 2.

So, we have to multiply 6x5 to get 30.

Then, well divide it by 2, which will give us 15cm^2

Finally, we add the areas of rectangle and the triangle together. 15 + 48 is 63.

Bada-bing, bada-boom, we got 63cm^2 as our answer :)

Based on observation, in this polyhedron, there are a total of six vertices, nine edges, and five faces.

In geometry, this refers to the point where two line meet. In this case, the vertices are A, B, C, D, E, F for a total of six vertices.

This term refers to line segments, for example the line between B and C is an edge. Based on this, there are nine edges in this shape.

This refers to flat surfaces; in this, case the total of flat surfaces are five.

Learn more about geometry in: https://brainly.com/question/16836055

Answer:

(x-4) (x-1)

Step-by-step explanation:

X-4=0

x=4

X-1=0

X=1

Answer:

-35x³ - 39x² + 25x

Step-by-step explanation:

First write out the equation which is (5x - 3x²) - (5x - 2)(10x + 7x²). Then distribute 5x - 3x²  to -(50x² + 35x³ - 20x - 14x²). After that, combine the like terms and don't forget to distribute the negative as well, 5x - 3x² - 36x² - 35x³ + 20x. Lastly combine all the like terms to end up with this -35x³ - 39x² + 25x.

Hope this helps :)

Answer:

Area= 7

Explanation: area of triangle is A=bh/2

b=2 h=7

7 x 2 = 14/2 = 7

Answer:

Equations: 40-7=33 and 33÷11=3

Step-by-step explanation:

40-7=33

Since there are 3 sides,(q) then you do 33 divided by 3=11.

Equations: 40-7=33

And

33÷11=3

Answer:

Step-by-step explanation:

Answer:

864 cm²

Step-by-step explanation: Volume of cube Side^3

Side of Cube= (1728)^1/3 = 12cm Total surface area = 6 x Side^2= 6 x 144 = 864 cm²

F(51)

===========================================================

Explanation:

The very large numbers are likely put there as a distraction. They aren't needed. Adding any two adjacent Fibonacci numbers will lead to the next term in the sequence. This is simply based on how the special number sequence is defined or set up.

This means F(49)+F(50) = F(51) i.e. adding the 49th and 50th terms will generate the 51st term.

In general,

F(n) + F(n+1) = F(n+2)

where n is a positive integer.

Answer:

The max height is 11.25 feet and the ball will take 1.464 seconds to hit the ground

Step-by-step explanation:

The quickest way to solve this equation is by using the equation that you gave, which is h(t)= -16t^2 + v0t + h0. This equation models the trajectory of the football, which means that at the equation's vertex, we can model what the height of the ball is. Along with that, by finding the positive root of where h(t) = 0, we can find how long it will take for the ball to hit the ground.

First, lets find h0 and v(0)

h0 is the initial height of the ball. So we know that the ball leaves your hand of 5 feet, so h0 = 5. Similarly, the initial velocity is 20 ft/sec, so v0 = 20.

Plugging 5 in for h0 and 20 for v0, we get h(t) = -16t^2 + 20t + 5.

Second, find max height.

To find the vertex of a parabola, use -b/2a to find the time, and plug that into h(t) to get the height.

b=20

a=-16

t = -b/2a = -20/2(-16) = .625 seconds

h(.625) = 11.25 feet

The max height is 11.25 feet

Third, find how long.

To find this, we need to find the t-intercepts of the equation.

set h(t) = 0

-16t^2 + 20t + 5 = 0

Use quadratic formula to find t

t = (- 20 ± [tex]\sqrt{20^{2} - 4(-16)(5)}[/tex])/2(-16)

t = {1.464}, -.214

The ball will take 1.464 seconds to hit the ground.

Answer:

probably the answer to the following question is B and C I hove this helps because this numbers cannot be fraction only decimal

Answer: 5/9

Step-by-step explanation:   10             6

                                              ------  x ----------- = 5

                                                12           9         -----

                                                                            9