An item on sale costs 80% of the original price. If the original price was $20 what is the sale price?

Answer:

BC = 4 cm

BE = 10.39

Step-by-step explanation:

ABCD is an isosceles trapezoid.

Measures of base angles of an isosceles trapezoid are equal.

[tex]\therefore m\angle ABC = m\angle DCB [/tex]

[tex]\because m\angle DCB = 120\degree [/tex]

[tex]\therefore m\angle ABC = 120\degree [/tex]

[tex] m\angle ABE = 120\degree-90\degree [/tex]

[tex] m\angle ABE = 30\degree [/tex]

in triangle ABE,

[tex]\cos 30\degree =\frac{BE}{12}[/tex]

[tex]\frac{\sqrt 3}{2} =\frac{BE}{12}[/tex]

[tex] BE = \frac{\sqrt 3\times 12}{2} [/tex]

[tex] BE =6\sqrt 3\: cm[/tex]

[tex] BE = 10.39 cm[/tex]

[tex]\sin 30\degree =\frac{AE}{12}[/tex]

[tex]\frac{1}{2} =\frac{AE}{12}[/tex]

[tex] AE = \frac{12}{2} [/tex]

[tex] AE =6 \: cm[/tex]

Next, Draw [tex] CF\perp AD [/tex]

FD = AE = 6

EF = 16 - (AE + FD) = 16 - (6+6) = 16-12

EF = 4 cm

BCFE is a rectangle.

Measures of the opposite sides of a rectangle are equal.

Therefore

BC = EF

BC = 4 cm

Answer:

64 books

Step-by-step explanation:

The first step is to find the number of books that will fit in the shelve per foot

= 40/5

= 8

Therefore the number of books that will fit perfectly in 8-foot shelf can be calculated as follows

= 8×8

= 64

Hence 64 books would fit in 8-foot shelf

Answer:

Hey, I'm not sure if my assumptions were correct or not because there is no diagram. I assumed the triangle to be equilateral, the two lines are parallel and the height of the triangle is 1.

Step-by-step explanation:

Since the triangle is parallel*, we can just use ratio and proportion.

[tex] \frac{rise}{run} = \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ \frac{1}{34 - x} = \frac{0.5}{9x - 59} \\ 1(9x - 59) = 0.5(34 - x) \\ 9x - 59 = 17 - .5x \\ 9x + 0.5x = 59 + 17 \\ 9.5x = 76 \\ x = \frac{76}{9.5} \\ x = 8[/tex]

Now that we had found the value of x, we will now substitute that to both equations to get the respective distances.

CE = 34 - x = 34 - 8 = 26

Answer:

The answer is y = 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

~Hoped this helped~

~Brainly, please?~

Given:

The side of the square garden is 30ft.

To find:

The length of the diagonal of the square garden.

Solution:

We know that, the length of the diagonal of a square is

[tex]d=a\sqrt{2}[/tex]         ...(i)

Where, a is the the side of the square.

We have,

Side of the square garden = 30 ft.

Putting a=30 in (i), we get

[tex]d=30\sqrt{2}[/tex]

The measure of the diagonal path is [tex]30\sqrt{2}[/tex] ft.

Therefore, the correct option is D.

Answer:

its simplifed as much as it can.

Step-by-step explanation:

Answer:

its already simplified the most but as a decimal its 0.64

Step-by-step explanation:

Answer: y = 4x-9

Step-by-step explanation: We can follow the equation y=mx+b. Where we know m = 4 and b(the y-intercept) = -9. So the answer would be y=4x-9.

Answer:

7.9

Step-by-step explanation:

Answer:

80 degrees because if you look at 1 its 62 plus 18

Answer:

66 ft

Step-by-step explanation:

L ∝ n

L = kn , k -> number of sections

Length of 3 sections=  18 ft

3n = 18

 n = 18/3

n = 6 ft

Length of 1 section of fence = 6 ft

Length of 11 sections of fence = 6* 11 = 66 ft

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

Answer:

only 1 and 2 are correct

Step-by-step explanation:

Here, we want to select appropriately

From the question, all we had to do is to make a subtraction; and that is;

3 5/12 -2 2/3

1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes

2. 3 15/36 can be reduced to 3 5/12

and 2 24/36 can also be reduced to 2 2/3; so this is correct also

3. This is wrong

4. This is wrong

Answer:

-2

Step-by-step explanation:

since we're finding the fifth term, n=5

that would make the equation [tex]a_{5}=2(-1)^{5}[/tex]

we can simplify this to [tex]a_{5}=2*(-1)[/tex]

this makes [tex]a_{5}=-2[/tex]

Answer:

BOTH ARE CORRECT

Step-by-step explanation:

Given that:

Triangle ABC Is right angled ;Angle ABC

Hypotenus = 15

If legs are 9 and 12 units long ;

From Pythagoras :

9² + 12² = hypotenus²

81 + 144 = 225²

2.) if:

B = 20° ; BC = will be

Using :

Cos θ = BC / 15

Cos 20 = BC / 15

BC = Cos 20 * 15

BC = 0.939692 * 15

BC = 14.09

BC = 14.1

Answer:

16/5

Step-by-step explanation:

Since y varies inversely as x,  then xy = k  

                                                          2(8) = 16 = k

Therefore, xy = 16

Now,  5x = 16

x = 16/5

Answer:

48

Step-by-step explanation:

I know I'm super late, so so sorry but for another in the future, it's 48

Answer:

48

Step-by-step explanation:

hope it's helpful ❤❤❤

THANK YOU.

Answer:

The ratio for this problem is 9 : 100

Step-by-step explanation:

Enjoy

Answer:

AllianceRMMS.com

2 points

3) Tati wants to save money to be ready to shop for presents during

Christmas 2021. Tati has $25 in her piggy bank and continues to save $40

per month. What is the rate of change and constant; write Tati's savings

plan in slope-intercept form.*

O y = 65 next month

O y = 25x + 40

y = 40x + 25

O y = 15x + 25

do thatand u find out

Step-by-step explanation:

Answer:

one gallon is $3.80

Step-by-step explanation:

divide 28.12 by 7.4 then bam

Answer:

y<1

Step-by-step explanation:

Answer:

-0.333333333333

Step-by-step explanation:

Answer:

This will be as a decimal: 0.33333333333

Step-by-step explanation:

0.4 = 2/5. 0.33333333333… =1/3. 0.237 = 237/1000.

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

=10.7

The length of f from the given triangle FGH is 10.7 inches.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.

Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°

f² = 57.76+10.24-48.64×(- 0.9396)

f² = 68+45.70

f² = 113.7

f = √113.7

f = 10.7 inches

Therefore, the length of f is 10.7 inches.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ3

Answer:

y=60x; 60 X 12= 720

Step-by-step explanation:

Answer:

60 x 12= 720

Car A will travel 720 miles

Step-by-step explanation:

PLZ mark me brainliest

Answer:

x + 6.8 = 8.9

Step-by-step explanation:

First let's break this sentence down into parts.

A number increased by 6.8 is 8.9.

"A number" - This value is unknown, therefore we will represent it with x.

"increased by" - This signifies that we will be adding.

"is" - This represents the equal sign (=)

Now let's put these together.

x + 6.8 = 8.9

This is your expression.

Hope this helps!

Answer:

7Q ^12

Step-by-step explanation:

Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos

Answer:

Y = 5/2x - 8

Step-by-step explanation:

m = 5/2

Step-by-step explanation:

If you dilate a image by a factor of 2 you are multiplying each side by 2.

Side AC = Original AC x 2 = 8 x 2 = 16

Side AB = Original AB x 2 = 15 x 2 = 30

Side BD = Original BD x 2 = 8 x 2 = 16

Side CD = Original CD x 2 = 15 x 2 = 30