Please help, the topic is similarity 2d shapes :))

Please Help, The Topic Is Similarity 2d Shapes :))

Answers

Answer 1

Answer:

[tex]30 {cm}^{2} [/tex]

Solution,

[tex] \frac{bd}{cd} = \frac{ae}{ce} [/tex]

[tex] \frac{6}{8} = \frac{9}{8 + de} [/tex]

[tex]48 + 6(de) = 72[/tex]

[tex]6(de) = 72 - 48[/tex]

[tex]6(de) = 24[/tex]

[tex]de = \frac{24}{4} [/tex]

[tex]de = 4 \: [/tex]

CE = 8 + 4 = 12

Area of trapezoid ABDE:

Area of AEC - Area of BDC

[tex] = \frac{1}{2} \times 9 \times 12 - \frac{1}{2} \times 6 \times 8[/tex]

[tex] = 54 - 24[/tex]

[tex] = 30 \: {cm}^{2} [/tex]

Hope this helps...

Good luck on your assignment...


Related Questions

Sierra makes 8 friendship bracelets in 2 hours.how long does it take her to make 1?

Answers

Answer:

2 hours = 120 minutes so it takes her 120 / 8 = 15 minutes to make one.

Help me with this somebody.

Answers

Answer:

B, √140

Step-by-step explanation:

√28+√112 = √140

(-4,-2) obtained by translating 3 units up followed by a reflection over the x axis

Answers

Answer:

Original Coordinates: (-4, 5)

Step-by-step explanation:

We simply take the opposite directions to find our original coordinates.

Step 1: Translate 3 units down

(-4, -2) --> (-4, -5)

Step 2: Reflect over x-axis

(-4, -5) --> (-4, 5)

A sphere has a volume of V=2304 in^3. Find its surface area.

Answers

Answer:

The surface area of the sphere is:

[tex]Surface_{sphere}=843.6\,\, in^2[/tex]

Step-by-step explanation:

Recall the two following important formulas:

[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\\\Surface_{sphere}=4\,\pi\,R^2[/tex]

where R is the radius of the sphere.

Then, since we know the sphere's volume (2304 [tex]in^3[/tex]), we can calculate the sphere's radius:

[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\2304=\frac{4}{3} \,\pi\,\,R^3\\\frac{3\,*\,2304}{4\,\pi} =R^3\\R=\sqrt[3]{\frac{6912}{4\,\pi} } \, in\\R=8.1934\,\, in[/tex]

Now, knowing the radius, we can estimate the surface of the sphere using the other formula;

[tex]Surface_{sphere}=4\,\pi\,R^2\\Surface_{sphere}=4\,\pi\,(8.1934)^2\\Surface_{sphere}=843.6\,\, in^2[/tex]

The squared paper shows the nets of cuboid A and cuboid B. Do the cuboids have the same surface area? Show how you know (FIRST CORRECT ANSWER WILL GET BRAINLIEST THANK YOUU)

Answers

Answer:

No because cuboid a is smaller than cuboid b

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

They do not have the same surface area. My calculations as to how I know: A = 2x2x2+3x2x2+3x2x2= 4x2+6x2+6x2= 8+12+12= 20+12= 30cm B = 1x3x2 + 1x4x2 + 3x4x2= 3x2 + 4x2 + 12x2= 6+8+24 14+24= 38cm

A collection of nickels and quarters has a total value of three dollars and contains 32 coins. Which of the following systems of equations could be used to find the number of each coin?

Answers

Answer:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]

Step-by-step explanation:

Given that there is a collection of nickels and quarters.

Let N be the number of coins of nickels and

Q be the number of coins of quarters.

It is given that total number of coins are 32.

Number of coins of nickels + Number of coins of quarters = 32

[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.

Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]

and value of a one nickel coin = 5 cents = $0.05

Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]

Similarly,

Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]

Total value of coins is 3 dollars.

[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.

So, the answer is:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]

(−a+b)(b–a) Please help I don't understand how to do this

Answers

Answer:

a^2 -2ab + b^2

Step-by-step explanation:

(−a+b)(b–a)

FOIL

first : -a*b = -ab

outer: -a * -a = a^2

inner +b * +b = b^2

last: b* -a = -ab

Add  them together

-ab+a^2 + b^2 -ab

Combine like terms

a^2 -2ab + b^2

Answer:

a^2+b^2-2ab

Step-by-step explanation:

(-a+b)(b-a)=

first mutiply -a(b-a)=-ab+a^2

second multiply b(b-a)=b^2-ab

then add : -ab+a^2+b^2-ab= a^2+b^2-2ab

a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
x 2
x 5
- 2
- 5
А.
B
C
D
b)y=
5
What happens to the value of y if the value of x triples?
Select your answer.
x 2
x 3
-2
- 3
A
B
C
D

Answers

Answer:

if x doubles y will be 2y &if x triples the value will be 3y


A recipe calls for 10 cups of sugar for every 3 eggs. How many cups of sugar are
required if a dozen eggs are used by the baker?

Answers

Answer:

40 cups of sugar

Step-by-step explanation:

10 cups = 3 eggs

x cups = 12 eggs( a dozen )

12*10 =3x

120=3x

120/3=40

Answer:

40 cups of sugar

Step-by-step explanation:

All you have to do is divide the dozen eggs by 3 which will give you 4 and then after you multiply the 4 by the 10 cups of sugar to give you 40 cups of sugar.

HELP!!!
A publicist is promoting a new record. The table below
represents the plan for providing promo codes for free
downloads of a single from the record, f(x), in tens of
thousands of codes depending on the time since posting, x,
in days.
х
f(x)
0
0
25
45
50
0
75
-150

Answers

Answer:

D) Their difference is the number of days the first promo codes were released before the new record

Answer:

D.) Their difference is the number of days the first promo codes were released before the new record

Step-by-step explanation:

Got it right on Edge

What is the exact volume of a cylinder with a height of 30 inches and radius of 13 inches

Answers

Answer:

2,451 inches.

Step-by-step explanation:

Formula for volume of a cylinder = V=πr2h

r = 13 inches

h = 30 inches

π=22/7 or 3.14

V = 3.14 × 13 × 2 × 30

= 2,451.43

Answer is 2,451.43



A gym for diabetes is offering a deal to new members. Customers can sign up by paying a registration fee of $250 and a monthly fee of $42. Which of the
following models the membership cost?

Answers

Answer:

the following model the membership cost is p=250+42m

A youth group is setting up camp. Rain is predicted, so the campers decide to build a fly, or rain cover, over their tent. The fly will be 12 feet high and 16 feet wide. The scouts are building the frame for the fly with two poles slanted and joined together at the top of the tent.

The minimum length of the slanted poles needed to support the fly is how many feet

Answers

Answer:

Step-by-step explanation:

As shown in the diagram.

The fly will be 16 feet wide i.e BC = 16 feet

thus BD = DC = 8 feet

By pythagorus theorem

Hypotenuse²=  Height ²+ Base²

in ΔABD

AD = 12 feet

BD = 8 feet

put these value in the  equation

AB ²= AD² + BD²

AB²=  12²+ 8²

AB² = 144 + 64

AB² =  208

AB = 14.42 feet

The minimum length of the slanted poles needed to support the fly is 14.42 feet.

3. 10 + (8 x 3) - 32

Answers

Answer:

[tex]2[/tex]

Step-by-step explanation:

In order to find the answer to this question use PEMDAS and solve.

[tex]10+(8\times3)-32[/tex]

P goes first:

[tex]8\times3=24[/tex]

[tex]10+24-32[/tex]

A goes next:

[tex]10+24=34[/tex]

S goes last:

[tex]34-32=2[/tex]

[tex]=2[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

10 + (8 x 3) - 32

So I’m assuming the x represents multiplication

10 + (8*3) - 32

In Pemdas parenthesis is always first

(8*3)=24

10+24-32

Then addition

10+ 24=34

34-32=2

Hey, guys, I need help please give an answer and a good explanation thank you.



0.75-0.25+1/2=

Answers

Answer:

1

Step-by-step explanation:

Change 1/2 to 0.5 and then do 0.75-0.25+0.5.

Answer:

1

Step-by-step explanation:

0.75-0.25+1/2

=0.50+0.5

=0.5+0.5

=1

Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?

Answers

Answer:

There are 26 students in the class

Step-by-step explanation:

Let n millilitres be the solution in the beaker

Let x be the number of students in a class

He gives 3 millilitres of solution to each student . He will have 5 millilitres left over.

So, Solution distributed = 3x

Remaining solution = n-3x

So, n-3x = 5 ----1

In order to give each student 4 millilitres of solution, he will need an additional 21 millilitres.

So, n-4x=-21 -----2

Substitute the value of n from 1 in 2

So, 5+3x-4x=-21

5-x=-21

26=x

Hence There are 26 students in the class

please hellp ......​

Answers

Answer:

I DUNNO

Step-by-step explanation:

Answer:

BC = 19.371

Step-by-step explanation:

Use the cosine ratio:

Cos(71°) = 6.3/BC

BC = 6.3/Cos(71°)

BC = 19.371 cm

That's it, Best Regards!

Melinda is using construction paper to make cone-shaped table decorations. Each decoration will have
a slant height of 7.5 inches and a diameter of 5 inches. How much paper will she need to cover the
surface of 6 cone decorations?​

Answers

Answer:

The correct answer on EDG-2020 is:

c) ≈471 in.2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

credit to the first guy

A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).


Answers

Answer:

Step-by-step explanation:

I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!

The equation that we want to fill in is this one:

[tex](y-k)^2=4p(x-h)[/tex]

where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.

p = 2. Filling in the equation:

[tex]-(y-0)^2=4(2)(x-0)[/tex] which simplifies to

[tex]-y^2=8x[/tex] and now we solve it for x:

[tex]-\frac{1}{8}y^2=x[/tex]

The word ‘over’ is to show a fraction btw
10 over x-4 = 6

Answers

Answer:

x = [tex]\frac{17}{3}[/tex]

Step-by-step explanation:

[tex]\frac{10}{x-4}=6\\\\[/tex]

10 = 6*(x -4)

10 = 6*x - 6*4

10 = 6x - 24

Add 24 to both sides

10 + 24 = 6x - 24 + 24

34 = 6x

6x = 34

Divide both sides  by 6

6x/6 = 34/6

x = [tex]\frac{17}{3}[/tex]

Khala plots point A at (Negative 1, Negative 3 and one-half). Which graph shows the location of point A? On a coordinate plane, point A is 1.5 units to the left and 3.5 units down. On a coordinate plane, point A 1 unit to the left and 3.5 units down. On a coordinate plane, point A is 1 unit to the right and 3.5 units up. On a coordinate plane, point A is 1 unit to the right and 3.5 units down.

Answers

Answer:

The coordinate plane where the point is 1 unit to the left and 3.5 units down

Step-by-step explanation:

On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.

Answer:

D

Step-by-step explanation:

Edge 2020

Please answer the question now in two minutes

Answers

Answer:

the first three options

Step-by-step explanation:

they all have shared points

the answer is the first option, second option and the third option. the explanation is that those three options have all the same shared points. the last option is wrong. i hope this helps and have a good day

I need help with this​

Answers

Answer:

44

Step-by-step explanation:

MRQ=136

In a straight line there is 180 degrees

180-136=44

MRS=44 degrees

alternates angle is a z shape so NMRS is one

So you then RMP is 44 degrees.

Hope it helps just tryed

Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads and how much time she spends reading. Let p=pages and t=number of pages.

Answers

Answer:

p=50t

Step-by-step explanation:

The more pages Crystal has to read, the more time she spends reading.

Let p=number of pages read

t=time spent reading the number of pages

As t increases, p increases.

This is a direct proportion and we can write it as:

[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]

Substitution of k into p=tk gives:

p=50t

Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:

p=50t

The sum of the squares of three consecutive even integers is 980. Determine the integers.

Answers

Answer:

  16, 18, 20

Step-by-step explanation:

We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...

  √(980/3) ≈ 18.09

The integers are 16, 18, 20.

_____

Check

  16^2 +18^2 +20^2 = 256 +324 +400 = 980

Answer:

16, 18, 20

Step-by-step explanation:

Let the three consecutive even integers be (x - 2), x, (x + 2)

[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]

Hence, three consecutive even integers are : 16, 18, 20.

Can someone help me plzzzzz

Answers

Answer:

C

Step-by-step explanation:

I think answer should be c. Please give me brainlest I hope this helps

Solve the following equation for x: -7 + 4x + 10 = 15 - 2x *

Answers

Answer:

x=2

Step-by-step explanation:

-7+4x+10=15-2x

combine like terms

4x+3=15-2x

add 2x to both sides

6x+3=15

subtract 3 on both sides

6x=12

divide 6 on both sides

x=2

Pls help ima mark BRAINLIST and give u a like

Answers

Answer:

C

Step-by-step explanation:

You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.

Answer:

C. [tex]\left \{ {{x\leq 3} \atop {x+y>2}} \right.[/tex]

Step-by-step explanation:

Well I went to Desmos and graphed them.

look at the image below

.......................

Answers

Answer:

Width: [tex]10y^6[/tex]

Length: 7y² + 3

Step-by-step explanation:

Step 1: Factor out 10

[tex]10(7y^8+3y^6)[/tex]

Step 2: Factor out [tex]y^6[/tex]

[tex]10y^6(7y^2+3)[/tex]

According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).

Approximate the change in the volume of a sphere when its radius changes from r​ = 40 ft to r equals 40.05 ft (Upper V (r )equals four thirds pi r cubed ). When r changes from 40 ft to 40.05 ​ft, Upper DeltaValmost equals nothing ftcubed.

Answers

Answer:

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Step-by-step explanation:

The volume of the sphere ([tex]V[/tex]), measured in cubic feet, is represented by the following formula:

[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex]

Where [tex]r[/tex] is the radius of the sphere, measured in feet.

The change in volume is obtained by means of definition of total difference:

[tex]\Delta V = \frac{\partial V}{\partial r}\Delta r[/tex]

The derivative of the volume as a function of radius is:

[tex]\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}[/tex]

Then, the change in volume is expanded:

[tex]\Delta V = 4\pi \cdot r^{2}\cdot \Delta r[/tex]

If [tex]r = 40\,ft[/tex] and [tex]\Delta r = 40\,ft-40.05\,ft = 0.05\,ft[/tex], the change in the volume of the sphere is approximately:

[tex]\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)[/tex]

[tex]\Delta V \approx 1005.310\,ft^{3}[/tex]

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

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