He width of a rectangular postcard is 4 inches and the diagonal is 7.6 inches long. What is the length of the postcard? Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

Adjacent = x = length = 6.46 inches

Step-by-step explanation:

Given the width and diagonal of a rectangular postcard,

Find the length using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 7.6 inches

Opposite = 4 inches

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

7.6² = 4² + x²

57.76 = 16 + x²

subtract 16 from both sides

57.76 - 16 = x²

41.76 = x²

Find the square root of both sides

x = √ 41.76

= 6.46

x = 6.46 inches

Adjacent = x = length = 6.46 inches


Related Questions

the height of an apple

Answers

Answer:

apples are usually roundish, 5–10 cm (2–4 inches) in diameter

Step-by-step explanation:

Dwarf apple trees grow about 10 feet tall, while semi-dwarf varieties can reach 15 feet. Meanwhile, standard-size apple trees often soar to heights above 20 feet and sometimes tower at 30 feet.

Apples are 5 - 10 cm in height.

What is height?

Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it

Given is an apple.

When harvested, apples are usually roundish, 5–10 cm (2–4 inches) in diameter.

Therefore, apples are 5 - 10 cm in height.

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Chocolate sprinkles cost as much per pound as sugar. Find 1 10 the baker's total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.

Answers

116=$0.05


hope this helps

The total cost of chocolate sprinkles is $800

What are Place value charts?

This is an implementation of the numeral system that shows the value of each digit in a number using their positions

Given that, Chocolate sprinkles cost as much per pound as sugar.

From the complete question, we have the following parameters:

Unit rate = $8.00

Total pounds = 100

Total cost of chocolate sprinkles

So, the total cost of chocolate sprinkles is calculated using the following formula;

Unit = Total / Pounds

This gives

$8.00 = Total / 100

Total = $800

Hence, the total cost of chocolate sprinkles is $800

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Perform the indicated operations. 2−26 −48−16 07−6 76 −200 −73 Arrow −48−16 07−6 −200 −73 1−13 −48−16 07−6 38 −200 −73 Arrow 1-13 07−6 38 −73

Answers

Not certain if this question is complete

Answer and Step-by-step explanation:

We perform the operations given, using the rules of subtraction and addition on the number line:

Two negative signs adds up to a negative result, one negative number and positive number may add up to a negative or positive value depending on which is bigger :

2-26= -24( the positive value 2 reduces negative value by 2 and we are left with -24)

-48-16= -64( two negative values add up to a negative value)

07-6= 1( seven is bigger than 6 hence positive result)

We use the above method to solve the given expressions

+76-200-73= -124-73=-192

-48-16=-64

+7-6-200-73=-199-73=-272

+1-13=-12

-48-16=-64

+07-6=1

+38-200-73=-162-73=-235

1-13=-12

07-6=1

38-73= -35

1, -1, 3, 38   &   0, 2, -2, -24

Completely factor f(x)=2x^4+11x^3+2x^2-15x given that f(-3/2)=0

Due today please help

Answers

Answer:

There isn't a picture

Step-by-step explanation:

someone knows what number multiplied twice by the same can give me results 130!!!! Help plis plisss

Answers

Answer:

i will try to help you....

Answer:

65 i believe

Step-by-step explanation:

130/2    

= 65

and

65 x 65 = 130

19 - (- 41)
plzzzzzz help fast!

Answers

Answer:

60

Step-by-step explanation:

Is because when you have two negative -- signs it became positive

19 + 41 = 60

Answer:

60

Step-by-step explanation:

19 - (- 41) by the power of math, it turns into a positive and the subtraction sign to an addition

19 + (+41)

19+40= 60

y-intercept. y = -3/2x

Answers

Answer:

i hope you find the answer but unfortunaatly im not sure

Step-by-step explanation: thankyou for the points though :)

Un químico agrega cierta cantidad de una solución de 86% de alcohol a 11 litros de otra solución al 71% de alcohol y obtiene una solución al 77% de alcohol encuentre la cantidad de litros de la primera solución que se agregaron a la segunda

Answers

Answer:

Step-by-step explanation:

Sea x la cantidad de litros de la mezcla al 86%

x× 86% + 11 × 71% = (x + 11) × 77%

0.86x + 7.81 = 0.77x + 8.47

752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?

Answers

752 second graders went to
see Hansel and Gretel on
Friday. 25% of the students
went to the bathroom during
the movie. How many kids
went to the bathroom?

Answer:

188

Step-by-step explanation:

752 x 25% = 188

5-10m
WHATS THIS ANSWER?.
.
.
..
.
.

Answers

Answer:

-5 is the answer

Step-by-step explanation:

Which is the correct decimal representation of 13/40

Answers

Answer:

.325

Step-by-step explanation:

Answer:

0.325 is a decimal

Step-by-step explanation:

Anthony is shopping at a discount store. He really wants to buy a jacket that costs $129.99. The jacket is on sale for 25% off. Anthony also has a coupon for 35% off any item in the store. If the sales tax is 7.2% after discounts, what is the final sale price of the jacket?

Take the discounts off one at a time in the order listed, and then add on the tax. Round to the nearest cent.

Price after the first discount:

Price after both discounts:

Price after adding tax:

Answers

Answer:

dats alot

Step-by-step explanation:

f(x)5x + 4
Find f(6)

Answers

[tex]\sf{Hello!}[/tex]

[tex]f(x) = 5x + 4[/tex]

[tex]f(6) = ---- [/tex]

[tex]f(6) = 5(6) + 4[/tex]

[tex]f(6) = 30 + 4[/tex]

[tex]f(6) = 34[/tex]

Have a nice day!

when it says f(6), it just means to plug in 6 for x so ... 5(6)+4= 28

Ans: 28

point slope line equation of the line through (8,-8) and (9,8)

Answers

Answer:

y+8=16(x-8)

Step-by-step explanation:

y-y1=m(x-x1) is the formula

Just substitute from the first pair then you should get the answer.

£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day


I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out​

Answers

80 children x 5 days = 400 total lunches.

£100 / 400 lunches = £0.25 per lunch

The cost for one lunch for one student is £0.25

which is the line of best fit and why?

Answers

Responder:

Opción de respuesta c

Explicación paso a paso:

Es una pendiente positiva como los datos, también coincide con muchos de los puntos.

Espero que te aya ayudado

Answer:

Answer choice c

Step-by-step explanation:

It is a positive slope like the data, it also matches up with many of the points.

The term GLOBAL ETHIC refers to a set of common moral values and ethical standards which are shared by the different faiths and cultures on Earth.

These common moral values and ethical standards constitute a humane ethic, or, the ethic of humanity. In view of the process of globalization this ethic of humanity has been termed by the famous Roman Catholic theologian and philosopher Professor Hans Küng as the “GLOBAL ETHIC”.

Although the concept of a GLOBAL ETHIC was at first introduced by Professor Hans Küng in 1989 it is, in his own words, “not a new invention but only a new discovery” of common principles which are as old as humankind.

There can be no doubt that a globalizing world with its tremendous social, ecological and moral problems needs a globalization of moral values and ethical standards, in short: a GLOBAL ETHIC, in order to survive as a place where our grandchildren and great-grandchildren can live a decent life.





CAN ANY ONE HELP ME GET 5 BRAINIEST

Answers

Answer:

Hey josh I am queen this is my new account hope u r ok and safe please why don’t u talk to me please josh

Step-by-step explanation:

I still love you josh I love you more then anything u will be in heart forever even tho u love country girl but I don’t care

I swear I am crying right now

If f(x) = 4x - 8, what is the value of f(-3)?

Answers

Answer:

-20

Step-by-step explanation:

f(x)= 4x-8 f(-3)

y= 4(-3) -8

y= -12 -8

y= -20

What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7

Answers

Answer:

2

Step-by-step explanation:

-1-11/-4-2 = -12/-6 = 2

The required slope for the linear relationship is -2.

Slope to be determine for table x = -4  2   5,  y = 1   -1  -7 showing linear relationship.

What is slope?

Slope of function is defined as the rate at which function is increasing.

Here, slope

[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]

Thus, the required slope for the linear relationship is -2.

Learn more about slope here:
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What is the sum of 3(x + 3) and -2(x - 5)?
A. x - 2
B. x - 1
C. x + 8
D. x + 19

Answers

Answer:

The answer is D

Step-by-step explanation:

23=-8y-7+2y
Y=???????????

Answers

Answer:

y= -5

Step-by-step explanation:

Answer:

y=-5

Step-by-step explanation:

23=-8y-7+2y

23=-6y-7

23+7=-6y-7+7

30=-6y

To find Y divide both sides by-6.

30/-6=-6y÷-6

-5=y

How do you find the slope of the table below

Answers

It’s rise over run, or (Y2-Y1)/(X2-X1)

Pick any two sets and plug in.

(24-16)/(21-14) = 8/7

Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial.
\[x^2 + 22x + \underline{~~~~}.\]

Answers

121.

Check: x^2+22x+121=(x+11)^2

Answer: 121

Step-by-step explanation:

The formula for the square of sums is [tex](a+b)^2=a^2+2ab+b^2[/tex].

Applying the formula, we see that the only option for b is 11 squared, or 121.

What is 70% of 900
Pls answer quickly

Answers

Answer:

630

Step-by-step explanation:

10% of 900 is 90 (900÷10)

20% of 900 is 180 (90×2)     -     basically the 10% times 2

50% of 900 is 450 (900÷2)

450+180=630         -          the sum of the 20% and 50%

S
You have $18 to spend on lip balm and hand sanitizer. The equation 1.5x + 2.5y = 18 represents this situation, where x is tubes of
lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand
sanitizer?

Answers

Answer:

(1.5×5) + (2.5×4)

Step-by-step explanation:

if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D

Which option correctly shows how this formula can be rearranged to isolate x^2?

Options in picture.

Answers

Answer:

A

Step-by-step explanation:

We have:

[tex]\displaystyle m=\frac{x_1-x_2}{y_1-y_2}[/tex]

And we want to isolate x₂.

So, let’s first remove the denominator by multiplying both sides by it:

[tex]\displaystyle m(y_1-y_2)=\frac{x_1-x_2}{y_1-y_2}(y_1-y_2)[/tex]

The right side will cancel. This will leave:

[tex]\displaystyle m(y_1-y_2)=x_1-x_2[/tex]

Now, we can subtract x₁ from both sides. So:

[tex]\displaystyle m(y_1-y_2)-x_1=-x_2[/tex]

Finally, we will multiply both sides by -1. So:

[tex]\displaystyle x_2=-m(y_1-y_2)+x_1[/tex]

Hence, our answer is A.

If solving a system of linear equations by elimination or substitution I get that 2=3, it means (check all that apply)

If the system of equations is 2 linear equations in 2 variables, there is infinity number of solutions
If the system of equations is 3 linear equations in 3 variables, there is infinity number of solutions
If the system of equations is 2 linear equations in 2 variables, the system has no solutions
If the system of equations is 3 linear equations in 3 variables, the system has no solutions

Answers

Answer:

If I get 2=3 in solving the system, it means the following:

If the system of equations is 2 linear equations in 2 variables, the system has no solutions If the system of equations is 3 linear equations in 3 variables, the system has no solutions

Step-by-step explanation:

The solution of linear system of equations implies that a point has to be found that holds true on all equations involved.

The system may consist of two equations involving two unknowns or may consist of three equation with three unknowns.

When a system of equation has no solution, the variables are removed in solving the equations and we get an equation or values in the form.

constant = constant

So,

If I get 2=3 in solving the system, it means the following:

If the system of equations is 2 linear equations in 2 variables, the system has no solutions If the system of equations is 3 linear equations in 3 variables, the system has no solutions

Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?

Answers

Answer:

[tex]\%\ Increase = 175 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 4[/tex]

[tex]New = 11[/tex]

Required

Determine the percentage increase

This is calculated using the following formula:

[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]

[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]

[tex]\%\ Increase = 1.75 * 100\%[/tex]

[tex]\%\ Increase = 175 \%[/tex]

Help please uh thanks

Answers

12•1
13•6
12/78 divide both numbers by 6 to simplify
Answer- 2/13
2/13 Is the answer to this question :)

PLEASE HELP ASAP!!!

OK SO I SOLVED ALL OF THIS: It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. --Function Rule: c(x) = 20b + 2300.

BUT I NEED HELP WITH THIS!!! Use your function rule to find out how many boxes of stuffed animals can the company manufacture for $5000? SHOW WORK.

basically just show the work to find out what "b" would have to be in order for the
answer to be $5,000 i would appreciate it so much :) please help this is due today :(

Answers

Answer:

The company can manufacture 135 boxes of stuffed animals for $5000

Step-by-step explanation:

To find b, substitute $5000 for c(x), so

5000 = 20b + 2300

Then subtract 2300 from both sides of the equation, so

5000 (-2300) = 20b + 2300 (-2300)2700 = 20b

Finally divide both sides of the equation by 20, so

2700/20 = 20b/20135 = b

To check your answer substitute 135 in as b...

c(x) = 20(135) + 2300c(x) = 5000
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