Olivia is cutting a 1 \dfrac12 \text{ m}1 2 1 ​ m1, start fraction, 1, divided by, 2, end fraction, start text, space, m, end text by \dfrac34\text{ m} 4 3 ​ mstart fraction, 3, divided by, 4, end fraction, start text, space, m, end text piece of rectangular paper into two pieces along its diagonal.

Answers

Answer 1

Answer:

The answer is "[tex]0.375 \ m^2 \ \ and \ \ 0.1875 \ m^2[/tex]".

Step-by-step explanation:

A rectangular paper on the side is given by Olivia:  

[tex]a= \frac{1}{2} \ m \\\\b= \frac{3}{4} \ m[/tex]

On the diagonal she cuts paper. A paper parts which results would be about half the original field.  

Area of origin:

[tex]A= a\times b[/tex]

   [tex]= \frac{1}{2} \times \frac{3}{4} \\\\= \frac{3}{8} \ m^2\\\\ = 0.375 \ m^2[/tex]

The resulting parts area:  

[tex]A_2 =\frac{A}{2} = \frac{\frac{3}{8}}{2}[/tex]

             [tex]=\frac{3}{16} \ m^2 \\\\= 0.1875 \ m^2[/tex]


Related Questions

One-third of a number is 7. Find the number.

Answers

Answer:

21

Step-by-step explanation:

21/3 = 7

the answer to ur question is 21

On June 19, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was
$33.99. After the split, Keisha received a check for a fractional part of a share. What was the amount of that check?

Answers

Answer:

$11.33

Step-by-step explanation:

Keisha will own 307 shares after the split. and the amount of check is 11 dollar.

Given that, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was

$33.99.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 3+ 2 = 5

Now, let x be the number of shares post split

Then;

3/2 = x/205

x = 3/2 (205)

x = 615/2 = 307.5

Therefore, Keisha will own 307 shares after the split.

Learn more about multiplications;

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school sold 2 adult tickets and 10 child tickets for a total of $56. The school took in $52 on the second
The school that Elisa goes to is selling tickets to a fall musical. On the first day of ticket sales the
second day by selling 4 adult tickets and 5 child tickets. What is the price each of one adult
ticket and one child ticket?

Answers

Answer:

x+y=4+8=12

$12 for one of each

or if you mean indivually (the wording confused me)

$4 for child, $8 for adult

Step-by-step explanation:

x=adult

y=child

2x+10y=56

4x+5y=52

iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104

8x+10y=104

-2x+10y=56

6x=48 divide each side by 6

x=8

plug 8 back into an equation to find cost of y

2(8)+10y=56

-16            -16

10y=40

y=4

-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Answers

Answer:

[tex]\boxed {a_{24} = - 70}[/tex]

Step-by-step explanation:

According to the following pattern sequence ([tex]-1, -4, -7, -10[/tex] ), it is Arithmetic Sequence, because every negative number is subtracted by [tex]3[/tex]. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

[tex]a_{n} = a_{1} + (n - 1) d[/tex]

[tex]a_{n}[/tex]: nth term in the sequence

[tex]a_{1}[/tex]: 1st term

[tex]n[/tex]: term position

[tex]d[/tex]: Common difference

-Apply to the formula:

[tex]a_{24} = -1 - 3 (24 - 1)[/tex]

[tex]a_{n} = a_{24}[/tex]

[tex]a_{1} = -1[/tex]

[tex]n = 24[/tex]

[tex]d = -3[/tex]

-Solve:

[tex]a_{24} = -1 - 3 (24 - 1)[/tex]

[tex]a_{24} = -1 - 3 (23)[/tex]

[tex]a_{24} = -1 - 69[/tex]

[tex]\boxed {a_{24} = - 70}[/tex]

Therefore, the 24th term is [tex]-70[/tex].

Determine whether each number is rational or irrational

Answers

Answer:

B C E G J

Step-by-step explanation:


If we start with 5 cells, and each cell divides in two every 15 minutes, how many total after 1 hour?

Answers

Answer:

80 Cells

Step-by-step explanation:

5 x 2 = 10 = Fifteen Minutes (15)

10 x 2 = 20 = Thirty Minutes (30)

20 x 2 = 40 = Forty - Five Minutes (45)

40 x 2 = 80 = Sixty Minutes (60)

80 Cells

What is the remainder when 23,870 ÷ 38? Please do step by step

Answers

23,870/38 equals 628.1578947368421.

628.1578947368421= 628 (round whole to a whole number .1 is not greater than 5, 628 stays.

So now what you do is 628/38....

You remainder should be 6

Final answer is: 628 R6

Check: 628 * 38 + 6 = 23870

8×6=(4×6)+(_____x6)=24+_____=
Evaluate.

Answers

Answer:

[tex]8 \times 6 = (4 \times 6) + (4 \times 6) = 24 + 24 = 48[/tex]

Solve the equation: 5.1 - 7x = 9.1

Answers

Answer:

Order summands

2

Subtract

5

.

1

5.1

5.1

from both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Step-by-step explanation:

Given a 30-60-90 triangle with a hypotenuse of 11 mm solve for the other sides. (Explain)

Answers

Answer:

Need a calculator

Step-by-step explanation:

This will be hard to explain without the ability to draw an example.

The one thing you can memorize is SOH - CAH - TOA

This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).

When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.

So a right triangle has two legs (sides) and the hypotenuse.  If you use the first angle ( 30 degrees)  you can use the formulas above to calculate the side length.

Pick either the SOH or the CAH.  Let's use SOH and write out the equation:

SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)

You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm.    You end up with SIN(30 degrees) X 11m = Opposite Side.

So the side directly across from the 30 degree angle should be 5.5mm

You can do the exact same thing with the 60 degree angle.

SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm)   OR

SIN(60 degrees) X 11mm = Opposite Side

This comes out to about 9.5mm

You can check the math by using the other equation CAH

Start with the 30 degree angle and solve for the adjacent side.  This is the side that is touching the 30 degree angle.  Equation will be

COS(30 degrees) X 11mm = Adjacent Side  or  about 9.5mm

The other equation will give you the side that is touching the 60 degree angle.

COS(60 degrees)  X 11mm = Adjacent Side or  5.5mm

You can also use one last thing to check your math.  The Pathagorean Theorem says in a right triangle  [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.

[tex]5.5^{2}[/tex]  +  [tex]9.5^{2}[/tex]  should equal  [tex]11^{2}[/tex].  Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).

In an online practice test, Sam got 11 correct answers. However, 3.5 points were deducted for incorrect answers. If he scored 18.5 points in the test, how much did he score for each correct answer?

Answers

Answer: 18.5/11=37/22 or 1.68181818181...

Write the vocabulary word for: A ratio of two quantities with different units.

We dont have vocab words in class so....

Answers

Answer:

a rate

Step-by-step explanation:

I looked it up :P

CAN SOMEONE HELP ME?

Bode Chambers is a flight attendant with an annual gross pay
of $54,400. He is single and is paid on a monthly basis. How
much is withheld monthly for state taxes?

Answers

Answer:

$750.00

Step-by-step explanation:

$54,400 ÷ 12 = $4366.66

the first $1000, is taxed at 1.5%

1000 × .15 = $150.00

that leaves Bode with $3366.66 of taxable income.

the first $2000.00 is taxed at 3%.

2000 × .3 = $600.00

leaving $1366.00 of non-taxable income. since it's below a second $2000, Bode's state has squeezed out as much as legally allowed from his paycheck.

$150.00 + $600.00 = $750.00

Bode should move to a less greedy state.

What percent of your friends like playing dodge ball if 5 out of 8 of them like playing dodge ball?

Answers

Answer:

62.5% or 63%

5 ÷ 8 = 0.625

0.625 = 62.5% or 63%

Answer:

Same situation as before, thanks for points.

Step-by-step explanation:

After some bad news (due to a revolutionary but ultimately doomed process for making toast in a microwave oven), stock in Seraj Food Industries fell by 40%, to $324 a share. What was the original price of a share? Thank you so much i'll mark brainliest!

Answers

Answer:

Around $650

Step-by-step explanation:

The original price of a share is $540.

Given that, Seraj Food Industries fell by 40%, to $324 a share.

What is the percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Let the original price of share be x.

x - 40% of x = 324

⇒ x - 40/100 × x = 324

⇒ x - 0.4x = 324

⇒ 0.6x = 324

⇒ x = 324/0.6

⇒ x = 540

Therefore, the original price of a share is $540.

To learn more about the percentage visit:

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Your friend has owned a dog for 9 years. This is one year less than twice as long as he has owned the cat. How long has your friend owned a cat?​

Answers

Answer:

17 years

Step-by-step explanation:

hope it helps:)

Answer:

20 Years.

Step-by-step explanation:

As you could see my friend owned a dog for 9 years, and it reads that it is one year less which is 10 years since 10-1 (aka one year) equals 9 so anyways we know it's 10, and it's twice as long 10 x 2 (aka twice). which is how I got my answer... 20!  

Given that line m is parallel to line r and m = (3y +85), find
m

Answers

Answer:

m=(3y+85)

Step-by-step explanation:

When finding the product, what is the first step?
(-c)x(-2a)x12b
btw the x's are multiply signs.
Thanks :)

Answers

Answer:

24abc

Step-by-step explanation:

(-c)*(-2a)*12b

Multiply the numbers

-1 * -2 *12 = 24

Multiply the variables

c*a*b = abc

Put it back together

24abc

Create a polynomial with two terms and a degree of 4

Answers

hey mate☺️☺️ here's your answer......

4x'4 + 1

Solve the multistep inequality.
4x + 3 < 5x − 6

Answers

Answer:

x > 9

Step-by-step explanation:

Isolate the variable, x. Treat the < as an equal sign, what you do to one side, you do to the other.

First, subtract 5x and 3 from both sides of the inequality:

4x (-5x) + 3 (-3) < 5x (-5x) - 6 (-3)

4x - 5x < -6 - 3

-x < -9

Isolate the variable, x. Divide -1 from both sides. Note that when you divide or multiply by a negative number, you must flip the sign:

(-x)/-1 < (-9)/-1

x < -9/-1

x > 9

x > 9 is your answer.

~

Answer:

x > 9

Step-by-step explanation:

4x + 3 < 5x − 6

-x < -9

x > 9

The volume of a cylinder is given by the formula y = rrah, where r is the radius of the cylinder and h is the height.
Which expression represents the volume of this cylinder?
n = 2x + 7
0 0
0 24x3 – 12xx2 - 24 xX+63%
O 28x3 - 5 xX2 – 24 xX+63x
O 28x3 + 7 xx? - 18xx-63

Answers

The third one is the correct answer I think

The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

To learn more about cylinder click :

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Please help me! Two pictures!

Answers

Answer:

B. y<=-2x+1

Step-by-step explanation:

Answer:C

Step-by-step explanation:

You can graph the answer into desmos, a website which helps you graph, I graphed it and got C.

Answer right with proof please.

Answers

Answer:

the answer is a

Step-by-step explanation:

you times the 1/6 by 2 to get 2/12 then 3/4 by 3 to get 9/12 so all your fractions have the same denominator and the do the rest of the math with the new fractions and the same whole numbers that went with them. hope this helps

write your answer here

Answers

[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]

Done... ♥️♥️♥️♥️♥️

Answer:

what she said ^^ :)

At the snack bar, 12 hot dogs are sold for every 10 hamburgers sold. At this rate, how many hamburgers will be sold if 66 hot dogs are sold?

Answers

Answer:

the answer is 54

Step-by-step explanation:

I am doing same thing

Answer:105

Step-by-step explanation:

Which best explains the relationship between the two triangles below? Triangle D C A. Angle D is 51.2 degrees and angle A is 96.5 degrees. Triangle S R T. Angle S is 32.3 degrees and angle R is 96.5 degrees. Triangle A D C is similar to triangle R T S because Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Triangle A D C is similar to triangle R T S because Angle A is similar to angle R, Angle C is similar to angle S, and Angle D is similar to angle T. Triangle A D C is not similar to Triangle R T S because Angle D is not congruent to Angle S. Triangle A D C is not similar to Triangle R T S because C D less than S T, D A less than T R, and C A less than S R.

Answers

Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

The distance from El Paso Texas to Houston

Texas is approximately 746 miles. If you

have already traveled 296 miles and you plan

on driving at a constant rate of 75 miles per

hour, how long will it take to get to Houston?

Answers

Answer:

It will take 6 hours to get to Houston.

Step-by-step explanation:

We have a total distance:

[tex] d_{T} = 746 mi [/tex]      

And, the distance traveled is:

[tex] d = 296 mi [/tex]

The plan is driving at a constant rate of 75 mi/h, so the time to get to Houston is:

[tex]t = \frac{x}{v}[/tex]

Where:

[tex] x = d_{T} - d = 746 mi - 296 mi = 450 mi [/tex]

[tex]t = \frac{x}{v} = \frac{450 mi}{75 mi/h} = 6 h[/tex]

Therefore, it will take 6 hours to get to Houston.

I hope it helps you!

PLEASE HURRY AND ANSWER ASAP :)
THIS IS DUE IN 10 MIN

Answers

Answer:

23.2/20

Step-by-step explanation:

i looked it up

If f(x) = -x - 6,find f-1(3).

Answers

Answer:

x=9

Step-by-step explanation:

-x-6-1(3)(Plug in equation) (Multiply -1x3)

-x-6-3(Subtract -6-3)

-x-9(Divide -9/-1)

x=9

Which pair shows equivalent expressions? PLEASE HURRY IM BEING TIMED!!!!

Answers

Answer:

-2x-10=-2(x+5)

Step-by-step explanation:

Answer:

it's the third one

Step-by-step explanation:

I believe on doing homework to good luck with your work hope this helps

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