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

This is the problem that I need help with please. :)

Answers

Answer:

umm I think it 186

Step-by-step explanation:

A hamburger costs $(2x + 3), chips costs $(x - 1) and a drink costs $(3x - 5). Write an
algebraic expression for the total cost of a hamburger, chips and a drink.

Answers

Answer:

(2x+3)+(x-1)+(3x-5)

Step-by-step explanation:

add all your expressions & Ect together .

Benji wrote the expression below to match the description "three less than the quotient of a number and nine" he wrote “3-n/9”explain benji's error

Answers

Benji’s error is that the division should happen BEFORE subtracting 3. 3 should be subtracted from the quotient.

The correct response should be: (n/9)-3

Find the perimeter of the figure below, composed of a rectangle and semicircle. Round to the nearest tenths place.

Answers

The perimeter of the given figure is 44.28 units.

Given that, from the figure length of a rectangle = 15 units, width of a rectangle = 4 units and the radius of a semicircle = 2 units.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Here, perimeter = Perimeter of a rectangle  + Circumference of a semicircle

= 2(15+4) + 2πr/2

= 2×19 + 3.14×2

= 38 + 6.28

= 44.28 units

Therefore, the perimeter of the given figure is 44.28 units.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/15287805.

#SPJ2

Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!

Answers

Answer:

y=8

Step-by-step explanation:

(-2,8) (3,8)

x,y. x,y

y2-y1/X2-X1=

8-(8)= 0

3-(-2)= 5

since the two points have 8 in the Y space the line would be equal to y= 8

Q1)Complete the table of values of y=6/x

Q2)Which of A,B or C is the correct curve for y=6/x


I will give brainliest!!! Help pleaze​

Answers

Answer:

Q1) 12, 2, 1.5, 1

Q2) I believe its C

Step-by-step explanation:

Hope it helps!

Answer:

1st question 12, 2, 1.5, 1

2nd question C

Step-by-step explanation:

Hope I helped

Oak Street intersects with Mill Avenue. The traffic light on Oak Street follows a cycle. It is green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. As you travel along Oak and approach the intersection, what is the probability that the first color you see is red? Write the probability as a simplified fraction. Incorrect feedback has been removed from the screen. Fill in the blank text field 1

Answers

Answer:

1/3

Step-by-step explanation:

20/60 simplified is 1/3

20 for the red light

60 all of them added

Which property of equality could be used to solve -3x = 348? addition property A.subtraction property B.division property C.multiplication property

Answers

Answer:

Division property

Step-by-step explanation:

you would need to set up your equation. Then divide -3x by -3 to get x alone. then you do 348 divided by -3 to get your answer

-3x=348

-3= -3

x=-116

You might need: What is the next term of the geometric sequence? -1/7, 4/7, -16/7

Answers

a4= 64/7 a5=-256/7 a6=1024/7

Which expression is equivalent to (xy)z?

A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)​

Answers

Answer:

c

Step-by-step explanation:

Answer:

It's C Aka x(yz)

Step-by-step explanation:

I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)

Write the following number in standard form: 3.471 x 10 to the power of negative 3

Answers

Answer:

=-3471 is the answer this may help you.

Step-by-step explanation:

=3.471×10^-3

=3.471×-1000

=-3471

The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call

Answers

We know he talked for over 3 minutes since the total is 305 which is > 125 (the cost of 3 minutes). The remaining amount he paid is 305-125= 180. He was charged 15 per 10 seconds which amounted to 180. 180/15=12 which means he was charged 12 times. Each time charged it was because he took 10 seconds so in total he took 12x10= 120 second. That’s 2 minutes. The two minutes he was charged 15s plus the first 3 minutes he was charged 125 is 5 minutes. We can plug in the numbers to make sure we are right. If he talked for 5 minutes then we know for the first three he was charged 125 and the additional two he was charged 15s (s representing 10 seconds). We can put the 125 aside for now to figure out the 15s. If he took two minutes then he took 120 seconds. Divide that by 10 because he’s getting charged per 10 seconds not per second so that’s 12. 15(12) is 180. 125 + 180 is 305

*** he took five minutes talking on the phone***

You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more piece of candy you can eat.

Answers

Answer:

One of the below.

Step-by-step explanation:

12-2=10      2+x=12    

Y=2x+6
3y-x+3=0

Substitute to solve

Brainliest for correct answer

Answers

Answer:

-21/5 or -4.2

Step-by-step explanation:

y = 2x + 6

3y - x + 3 = 0

Substitute the value for y from the first equation into the second equation.  Solve for x.

3y - x + 3 = 0

3(2x + 6) - x  + 3= 0

6x + 18 - x + 3 = 0

5x + 18 + 3 = 0

5x + 21 = 0

5x + 21 - 21 = 0 - 21

5x = -21

x = -21/5 or -4.2

Let p(n) be the number of primes less than n. What is p(50)

Answers

Answer:

There are 15 prime numbers less than 50

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

Solve one third plus seven ninths equals

Answers

Answer:

1 1/9 0r 10/9

Step-by-step explanation:

the least common denominator or LCM of the two denominators:

LCM of 3 and 9 is 9

For the 1st fraction, since 3 × 3 = 9,

1

3

=

1 × 3=3

3 × 3=9

= 3/9

Likewise, for the 2nd fraction, since 9 × 1 = 9,

7

9

=

7 × 1=7

9 × 1=9

=7/9

Add the two fractions:

3

9

+

7

9

=

3/9+ 7/9=10/9

So, 1/3 + 7/9 = 10/9

In mixed form: 1 1/9

Fihding the Selling Price for a Given Profit
Soccer ball profit
y = -6x2 + 100x – 180
Suppose the store wants to earn a daily profit of
$150 from the sale of soccer balls. To earn this
profit, what price should the store charge for each
soccer ball? Explain how to solve this problem.
DONE
) Intro
6 of 8

Answers

Answer:

2.05 and 14.61

Step-by-step explanation:

On Edg

In a video game, two objects move around the screen according to the equations r = 4cos(0) and r= -1 +
2cos(0). Which coordinates represent a possible collision point of the objects?

Answers

Answer:

The correct option is;

[tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]

Step-by-step explanation:

The given parameters are

The equation of motion of one (the first) object is r = 4·cos(θ)

The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)

Equating both equations gives;

4·cos(θ) = -1 + 2·cos(θ)

4·cos(θ) - 2·cos(θ) = -1

2·cos(θ) = -1

cos(θ) = -1/2

θ = Arccos(-1/2) = 120° = 2·π/3

Therefore, the two equations are equal when θ = 2·π/3 for which we have;

r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2

∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2

The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore [tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]

Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex])

Given that ,

The first object is moving around the screen r = 4 cos(0)

The second object is moving around the screen r = -1 + 2cos(0)

We have to find ,

The coordinates represent a possible collision point of the objects.

According to the question,

Coordinate represent collision points to object ,

Equating both equations ;

4·cos(θ) = -1 + 2·cos(θ)

4·cos(θ) - 2·cos(θ) = -1

2·cos(θ) = -1

cos(θ) = -[tex]\frac{1}{2}[/tex]

θ = [tex]cos^{-1} (\frac{1}{2} )[/tex] = 120°

[tex]\theta[/tex] = [tex]\frac{-2\pi }{3}[/tex]

Therefore, the two equations are equal when θ = [tex]\frac{2\pi }{3}[/tex]

We have;

r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -2

And r = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex]) =

r = -2

r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex])

r = -2

The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore r = -2 and [tex]\theta = \frac{2\pi }{3}[/tex] .

Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex]) .

For the more information about Motion of Equation line click the link given below.

https://brainly.com/question/21024882

 

 

What is the coefficient of the last term in the binomial expansion of (x + 1)9?

Answers

Answer:

1 is the coefficient of the last term in the binomial expansion

The answer would be 1

If two lines are perpendicular to each other, do they lie in the same plane?

Answers

Yes they do, Hope this helps :p

What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?

Answers

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , thus

y = x + c ← is the partial equation

To find c substitute (1, 0) into the partial equation

0 = 1 + c ⇒ c = 0 - 1 = - 1

y = x - 1 ← equation of line

Find the slope of the line that passes through each pair of points: (8, -2) , (1, 1)

Answers

Answer:

3/-7

Step-by-step explanation:

Using the equation [tex]M=\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}}[/tex] where M is slope, you take (1--2) 1+2/1-8 and you get 3/-7.

I NEED HELP THIS IS MISSING I GIVE BRAINLIEST only if you are right tho

Answers

Answer:

I thinks its negative

Step-by-step explanation:

because since there is more neagitive that positive it will be neagitive

can some one please help me im confused on this im really stuck :(

Answers

A- swimming up 5 feet means +5 and -9+5=-4
The answer is A
Because moving 5 units up from -9 , you will end up at -4 ( 4 units below sea level)

Write an algebraic expression that models the following statement:

Four times the sum of 'x' and '7'.

Answers

Answer:

4(x+7)

or 4x+28

Step-by-step explanation:

Here you go:)

2.5(a + 4) + 0.5a = 12.4

Answers

Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)

Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)

Answers

Answer:

Your answer is going to be - 722

Step-by-step explanation:

(3-41)=-38

(-3+22)=19

-38*19=-722

Answer:  (3 – 41) x (-3+22)= -722

When you go to do the multiplication or any math like this

parentheses,

exponents,

multiplication &division,

addition & subtraction,

Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,

So If you do the math in P-E-M-D-A-S (3−41)(−3+22)

=−38(−3+22)

=(−38)(19)

=−722

-722 is your answer

A circular garden has a diameter of 8 feet, and a rectangular garden has side lengths of 5 feet by 9 feet.
find the difference in square feet between the two gardens

Answers

Answer:

rectangular

Step-by-step explanation:

Answer:

The square of a number decreased by 8 times the number equals 9. Determine the two possible values of the number. X2-8x=9. +1-9 ... 9. Basic Area of Rectangles. 16 The length of a rectangular room is 5 less than ... 17 The total area of Jon's backyard is 144 square feet. ... the length of a side of the original square garden.

Step-by-step explanation:

i hope this helps!

Can 6/-6 be simplified?

Answers

Answer:

yes. it would technically be -1

Step-by-step explanation:

Because fractions are technically division, 6 ÷-6 = -1

Answer:

yes it can be simplified to 6/6 thats the lowest term

Step-by-step explanation:

hoped it helped

can u give me a brainlist?

y+1=1/2(x-8) in standard form- pls explain​

Answers

x-2y=10 is correct.
Other Questions
plsssss answer the question in the picture Jefferson Company has sales of $300,000 and cost of goods available for sale of $270,000. If the gross profit ratio is typically 30%, the estimated cost of the ending inventory under the gross profit method would be:________.A. $60,000B. $180,000C. $30,000D. $90,000E. $120,000 Estimate 9146 x 174 by first rounding each number so that it has only 1 nonzero digit. In the figure above, how would you set up your equation? what are the advantages of the Swiss rescue technique An inductor is connected to a 26.5 Hz power supply that produces a 41.2 V rms voltage. What minimum inductance is needed to keep the maximum current in the circuit below 126 mA? The author suggests that all the decisions the crew made about the Apollo 11 patch were deliberate. How does the author's use of chronological order help the convey this idea? what is the nearest integer of 3^ square root 74 If you remove one species from the Amazon rainforest, will it fall apart? Questlon 2 of 10The amount of time between interest payments is known as:A. simple interest.B. interest.C. principal.D. periodSUBMIT 15% of 24% of $3500 is $___? Chelsea is budgeting for her trip to the mall. Shedoes not want to spend any more than $140. Ifshe wants to buy a dress that costs $28.50 andI some shirts that cost $20.75 each, how manyshirts can she buy? Use the inequality to helpsolve the problem.140 > 28.50 + 20.75x What criteria would allow a Chinese couple to have more thanone child? Gina bought 4 bags of grapes that weighed 2.29 pounds each. The grapes were priced at $2.50 per pound. The expression below represents the total cost of the bags of grapes Gina bought, in dollars.(2.292.50)4Which expression below is also equivalent to the total cost of the grapes?( 2.29 + 4 ) 2.504 ( 2.50 + 2.29 )( 2.29 4 ) + 2.502.29(2.504) jack is paid 1800 a month. he spends half his money on rent. he spends the rest on food, bills and savings in the ratio 4:3:2 how much does he spend on bills? 9. Which choice best describes the impact of Miki's visions of his past?They give the reader a clear picture of Miki's puppyhood.H. UpwasThey help the reader understand why Miki is drawn to the pack.aatL-andThey emphasize how much Miki misses his mother and father.utThey reinforce the idea that Miki is overwhelmed by the wolves.estsnaCLEAR ALLife, My sister has gain admission into my former school, so help me to advice her on how to go about the situations of the school. How did the Progressive movement improve conditions for workers? Check all that apply.1.) Working hours were reduced in many states.2.) Strikes were no longer needed to have workers' demands met.3.) Child labor became illegal in all states.4.) Workers were able to negotiate better pay with employers.5.) Workplace safety was improved. jennifer performed an experiment to see how temperature affects the rate of breathing. group A will have their rate of breathing measured in 35 degrees Fahrenheit and group B will have their rate of breathing measured in 70 degrees Fahrenheit. write an "if..then" hypothesis statement Words always have a base, a prefix, and a suffix.TrueFalse