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

How many 2.25-pound containers can you fill with 24.75 pounds of almonds?

Answers

Answer:

You can fill 11 containers.

Step-by-step explanation:

This problem is asking you to divide 24.75 pounds among 2.25 pound holding containers.

So all you must do is divide 2.25 by 24.75. This leaves us with a quotient of 11.

are 35:40 and 21:24 equivalent?

Answers

Answer:

yes

Step-by-step explanation:

35:40=0.875

21:24=0.875

Answer:

No

Step-by-step explanation:

35 divided by 40 is 0.875 and 21 divided by 24 are 0.875. These are the same answer ( 0.875 = 0.875) so they are equivelent. Hope this helped! If it did, please mark me as brainliest! Thanks!        

Leo took an Uber to get to football practice. Uber charged $1.25 per mile (m) and he gave the driver a $5.00 tip. If the total trip was $16.25, how many miles did he travel to football practice?

Answers

Answer:

9miles

Step-by-step explanation:

Step one:

given data

we are told that the uber charges $1.25 per mile

and that Leo also gave a tip of $5

the function for the total charge is given as

y=mx+c

Step two:

we will use the notation m for the number of miles traveled

given that the total trip is $16.25

16.25=1.25m+5

solving for m we have

16.25-5=1.25m

11.25=1.25m

divide both sides by 1.25

m=11.25/1.25

m=9

So he travelled 9miles

Question 1
Which of the following statements is NOT true?

Answers

Answer:

the bottom one

Step-by-step explanation:

They are both the same ab and bc but im not entirely  sure

Because AB, AC, and BC describe the same line, we conclude that the last option is the false one.

Which of the statements is not true?

On the graph, we can see a line that contains points A, B, and C.

Now we want to see which statement is false.

Now, because A, B, and C are on the same line, is trivial that:

AB, AC, and BC (these 3 lines) have the same slope, because these are 3 different names for the exact same line.

Then we can conclude that the incorrect statement is the last one.

If you want to learn more about lines:

https://brainly.com/question/14323743

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What is the slope between (3,5) and (3,14)

Answers

Answer:

the slope between (3,5) and (3,14) is a positive slope

Step-by-step explanation:

Answer: The slope would be a positive slope.

what is the slope of the line, (-6, -8) and (2, 8)?

Answers

Answer:

Your slope would be 2.

Step-by-step explanation:

To find the slope, you would need to use the formula: y2-y1/x2-x1

In this case, the equation would be 8-(-8)/2-(-6)

8 - (-8) = 16

2 - (-6) = 8

16/8 = 2

Slope: 2

a team of divers assembles at an elevation of -10 ft relative to the surface of the water. Then the team dives at a rate of the water. Then the team dives at a rate of -50ft/min. Write a rule that represents the teams depth d as a function of time t. What is the team's depth after 3 minutes?

Answers

Answer: The team will be 160 feet below sea level after 3 minutes.

Step-by-step explanation:

If the team is at -10 ft relative to sea level then it means that they are 10 feet below sea level, and if they also going  -50 ft per minute, it also means that they are still going below sea level.

The rule will be,     d= -50t -10        

If t is the time, input 3 minutes into  the equation for t and solve for d to find their depth.

d= -50(3) - 10

d= -150 - 10

d= -160

8% of $40 is $
plzzz help

Answers

Answer:

$3.2

Step-by-step explanation:

so there's a strategy to do this its very helpful!

100%-$40

8%-x

~cross multiply~

100x=320

÷100     ÷100

________________

x=$3.2

Hope this helps :D

The Advanced Drama Club is selling tickets for Annie. Pre-registered tickets cost $6 and tickets at the door cost $8.50. The total number of tickets sold was 355. The total amount received was $2,580. Write a system to determine how many of each type of ticket was sold. Use p for pre-registerd and d for tickets purchased at the door. Solution: (pre-registered tickets, door tickets)

Answers

6/8.50=2 we get 35 ticket did help

Write the sentence as an inequality.
A number x is greater than 3
The inequality is

Answers

Answer:

X > 3

Step-by-step explanation:

The sentence as an inequality will be x > 3.

It is given that a number x is greater than 3.

We have to represent the sentence as an inequality.

What do you mean by inequalities ?

Inequalities are the expressions in which both sides are not equal and the equal sign in between is replaced by less than , greater than, etc.

As per the question ;

A number x is greater than 3.

So ,

Number is x.

and

It is greater than 3

i.e.,

we need to use a sign of greater than to represent the inequality i.e., > sign.

So ,

The sentence as an inequality can be written as ;

x > 3.

Thus , the sentence as an inequality will be x > 3.

To learn more about inequalities click here ;

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Karen plans to put new carpet on the floor of a rectangular room. The dimensions of the room are 24 feet by 15 feet. Carpet is sold by square yards. What is the area, in square yards, of Karen’s room?

Answers

Answer:

the answer would be 120 square yards

Step-by-step explanation:

you multiply the 15 and 24 then after that you divide the out come by 3 because a square yard is 3 by 3

True or False: |18 - 7| = |18|+ |-7|

Answers

Answer:

False.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

|Absolute Value| - makes any number positive

Step-by-step explanation:

Step 1: Define

|18 - 7| = |18| + |-7|

Step 2: Check

Subtract:                    |11| = |18| + |-7|Evaluate:                    11 = 18 + 7Add:                           11 ≠ 25

Here we see that 11 does not equal 25.

∴ The statement is false.

Answer:

false

Step-by-step explanation:

because th abosulte value of negative 7 is positive 7 then the equation would not be equal

Write an absolute value inequality to represent each situation.

Two friends are hiking in Death Valley National Park. Their elevation ranges

from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie

Point. Let x represent their elevation in feet.

Answers

Answer:

║ x - 231 ║ ≤ 459

Step-by-step explanation:

Since we have 228 ft below sea level, this is x' = -228 ft. Also,  we have 690 ft above sea level, this is x" = 690 ft.

Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.

To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.

So, ideal value = [690 + (-228)]/2 = 462/2 = 231.

We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 =  [690 + 228)]/2 = 918/2 = 459.

Subtracting 231 from each value of the inequality we have

-228 - 231 ≤ x - 231 ≤ 690 - 231

-459 ≤ x - 231 ≤ 459

Since we have in magnitude the values on the left and right side of the inequality,

So ║ x - 231 ║ ≤ 459

sandra colored 1/3 of her picture black, as shown. what percent of her picture did she color white

Answers

Assuming that the remaining part of the picture is white, 2/3 of the picture is white.

The painting as a whole = 1. 1 - 1/3 (the amount that is black) = 2/3. Thus, 2/3 is white.


[tex]4x -3 = 11x[/tex]

Answers

The answer is : -3/7

You move the terms so it looks like: 4x = 11x + 3

Then you collect like terms so you should have -7x = 3

After that just divide both sides by -7x and x should equal -3/7

Answer:

[tex]x=-\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]4x-3=11x\\\\4x-3+3=11x+3\\\\4x=11x+3\\\\4x-11x=11x-11x+3\\\\-7x=3\\\\\frac{-7x=3}{-7}\\\\\boxed{x=-\frac{3}{7}}[/tex]

Hope this helps.

Write an equation of the line that passes through a pair of points:
(-3,1). (-2,-5)

Answers

Answer:

[tex]y=-6x-17[/tex] (B)

Step-by-step explanation:

[tex]y=mx+b\\m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{1--5}{-3--2} = \frac{6}{-1} = -6\\y=-6x+b\\[/tex]

Plug in one of the two points for X and Y

(-3,1)

[tex]1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17[/tex]

Which equation represents the graph shown below
A) y=2x+3
B) y=3x+2
C) y=2/3x+b
D) y=5x

Answers

A.) y=2x+3
Since the y intercept is 3

Answer:

A  Y=2X +3

Step-by-step explanation:

Y=mx +b

y=2x + 3

slope is 2

y intercept is 3


Which function could this graph represent?

A) an even-degree function with two relative extrema

B) an odd-degree with three relative extrema

C) an even-degree function with three relative extrema

D) an odd-degree with two relative extrema

Answers

Answer:

Option (A)

Step-by-step explanation:

From the graph attached,

Right and left ends of the graph are moving downwards.

Ends moving upwards or downwards (In the same side of x-axis) tells the graph to be an even function.

There are two maximum points (points having maximum y-values)represent the two relative extrema of the function.

Therefore, Option (A) will be the correct option.


Need this answer ASAP cuz im dumb.


Mr. Scott likes to pose interesting problems to his Mathematics classes. Today,
he started with the expression 6
2020 + 72020. He stated that the expression was
not equivalent to 132020 and that he was not interested in the actual sum. His
question to his class and to you is, “What are the final two digits of the sum?”

Answers

Answer:

40. This is so easy yet so dumb. Why is this even a question?

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Tommy is thinking about entering a contest at the local gas station. Some of Tommy's friends explained to him that the probability of winning the free tank of gas was 0.27. Tommy understands probabilities better when they are given in ratio form. (For example 1 out of every 6 will win. Give Tommy your estimate of 0.27 probability in ratio form

Answers

Answer:

[tex]\dfrac{27}{100}[/tex]

Step-by-step explanation:

The number [tex]0.27[/tex] can be attained by the following expression

[tex]0.27=\dfrac{k27}{k100}[/tex]

Where

[tex]k[/tex] = any positive positive integer.

Let us take the minimum ratio

[tex]0.27=\dfrac{1\times 27}{1\times 100}[/tex]

[tex]=\dfrac{27}{100}[/tex]

where [tex]k = 1[/tex]

So, the probability estimate in ratio form is [tex]\dfrac{27}{100}[/tex].

Sally spins a fair spinner numbered 1 - 6 and flips a fair coin. What is the probability of obtaining a multiple of 3 and a tail?

Answers

The probability is 1/6

The likelihood of Sally spinning a multiple of 3 is 2/6 (or 1/3).

The likelihood of her flipping a tail is 1/2.

To find the probability of two independent events, multiply said individual probabilities together.

(1/3)(1/2) = 1/6

Write an inequality to equal y < -5

Answers

Answer:

2y - 3 < -13

Hope this helps

i don't understand the problem or how to solve it please brake I down​

Answers

Step-by-step explanation:

jm sorry, I've never done anything like this in math.

Brianna bought a bicycle for $275.It is now on sale for $150. Find the percent of change of change in the price. Round to the nearest percent.

Answers

Answer:

45%

Step-by-step explanation:

First we find the difference between the prices,

[tex]275-150[/tex]

is 125

and

[tex]125/275=0.454545454545.....[/tex]

which in percentage is

[tex]45.4545454...[/tex]

and that rounds to 45%


Please answer as soon as possible! Thanks
Transformation Questions)

Answers

Answer:

A = 1,1 ; 2,3 ; 5,3 ; 4,1 B = 1,-1 ; 2,-3 ; 5,-3 ; 4,-1


Why is it impossible to represent a vertical line using the slope-intercept form and the point-slope form of a linear equation?

Answers

Answer:

Both equations include the slope, which is undefined for a vertical line.

Step-by-step explanation:

it just is lol

PLZ ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: C

Step-by-step explanation: it is stretched out more.

Answer:

C

Step-by-step explanation:

C Is An Oval Not A Circle, Therefore it is different

Given: ΔDFE is isosceles with base FE; FB ≅ EC. Prove: ΔDFB ≅ ΔDEC Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles. Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent to segment by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS.

Answers

answer picture answer picture

Answer:

1. it is given

2. DE

3. DFE and DEF

4. DFB and DEC

If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)

Answers

Hello soldier!! The answer is D! Have a great day <3

Answer:

The answer is: D / 1/8(5)

Step-by-step explanation:

Under the answer choice D, it says The rectangles are similar

Answers

The correct answer is option D.

the correct answer is D
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