What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 9 cm​ wide, and 7cm​ tall?

Answers

Answer 1

Answer:

This length is greater than the 12 cm side of the rectangle, so it confirms our initial guess, the longest line segment is 12.89 cm long.


Related Questions

What is the difference between 4.091 and 2.174?
A
6.265
B
2.123
с
2.117
D
1.917

Answers

Answer:

D

Step-by-step explanation:

4.091-2.174= 1.917

one isotope of chromium has a half life of 18 hours. How long does it take 100 grams to decay to 20 grams?

Answers

Answer:

41.79 hours

Step-by-step explanation:

The Half-time Decay Formula: [tex]N=N_0(\frac{1}{2})^\frac{t}{d}[/tex]

Where [tex]N_0[/tex] is the original number, and t = time, and d = time it takes to half

18 would be d

100 would be [tex]N_0[/tex]

and 20 would be N

[tex]20=100(\frac{1}{2})^\frac{t}{18}[/tex]

[tex]0.2=(\frac{1}{2})^\frac{t}{18}[/tex]

[tex]log_\frac{1}{2}0.2=\frac{t}{18}[/tex]

[tex]18* log_\frac{1}{2}0.2=t[/tex]

[tex]18* \frac{log_{10}0.2}{log_{10}\frac{1}{2}}=t[/tex]

= 41.79470571

Malaya is standing directly between a 90-foot tall courthouse and a 54-foot tall bank. If the angle of elevation from the point where Malaya is standing to the top of the courthouse is 72°, while the angle of elevation to the top of the bank is 35°. What is the distance between the courthouse and the bank?

Answers

Answer:

Step-by-step explanation:

Draw a picture.

c and b are Malaya’s distance from the courthouse and bank, respectively.

tan(72°) = c/90

c = 90tan(72°)

tan(35°) = b/54

b = 54tan(35°)

Distance between courthouse and bank = c+b

= 90tan(72°) + 54tan(35°)

= 301.5 ft

20 points pls answer!

Answers

Answer:

a)0.879

Step-by-step explanation:

divide 87.9 by 100

PLEASE HELP W/ HONORS PROJECT! TIME SENSITIVE
What is the angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.

I know the degree but I need to know how the degree was found. I am using the U.S Cellular Field, aka the Guaranteed Rate Field in Chicago, IL.
The distance from the home plate to the center-field fence is 400 ft. The height of the center field fence is 8 ft. The given angle of elevation is 0.86 degrees.

Answers

Note:-

Solved as the all of above is one question

Solution:-

DE=8ft

2 ft above

DE=10ftDF=400ft

Now

Angle be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]

[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]

[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]

[tex]\\ \rm\Rrightarrow X=1.432°[/tex]

2. ¿Cuál es el valor de X en la siguiente ecuación?



X – 56 = 135





A. 79
B. 191
C. 270
D. N/A

Answers

the answer is B 191-56=135

When Austen's parents are away celebrating their anniversary, he gets to sleepover for a week at his
grandparents' house. Afterwards, Austen decides to make his grandparents a photo album of their time
together. There are 7 pages in the album. Austen puts the same number of photos on each page, for a
total of 42 photos.
Which equation can you use to find the number of photos p on each page?
P = 42
7p = 42
P + 7 = 42
D-7=42
7
Solve this equation for p to find the number of photos on each page.
photos
Submit

Answers

i think it’s the second one, i’m not sure though! best of luck to you my fried

Answer:

The answer is 6 becase 6 12 18 24 20 36 42 that is 7 so the answer is 6 and it is b

Step-by-step explanation:

brainliest pls

I'll give brainliest if u are right ​

Answers

Answer:

0.3

Step-by-step explanation:

Which of the following best describes the equation below?
y = 3/5x+15

A. linear

B. both linear and nonlinear

C. neither linear nor nonlinear

D. nonlinear

Answers

Nonlinear

hope this helps..lemme know if im wrong <3

(CHALLENGE QUESTION FOR ALL OF YOU):

What is the most beautiful mathematical equation?

*Requirements:
1. You need to write the equation
2. You need the Name.
3. Explain why it is the most beautiful​

Answers

Answer:

Euler's Identity

Euler's Identity is written simply as: e^(iπ) + 1 = 0, it comprises the five most important mathematical constants, and it is an equation that has been compared to a Shakespearean sonnet.

Step-by-step explanation:

Answer:

Calculus

Step-by-step explanation:

The fundamental theorem of calculus forms the backbone of the mathematical method known as calculus and links its two main ideas, the concept of the integral and the concept of the derivative.

The diagram shows a triangle.

What is the value of z?

Answers

Answer:

z=31°

Step-by-step explanation:

32°+117°+z=180°{ sum of angle of triangle}

z=180-149

z=31°

stay safe healthy and happy.

Answer:

31 degrees = x

Step-by-step explanation:

a triangle's sum is 180 degrees

let's form an equation that allows us to work backwards and find this

add the other two angle measures to x and let the sum be 180

32+117+x=180

31 is the difference and therefore the missing angle measure

The scatter plot shows the amount of sunlight some tomato plants received and the amount of each plant grew

Answers

Answer:

Option D

Step-by-step explanation:

The complete question is attached herewith.

Also the options for the same are as follows -

What is the meaning of the slope of the trend line shown on the scatterplot?  

A A plant grows about 3 inches for every 2 hours of sunlight it receives.  

B A plant grows about 2 inches for every 3 hours of sunlight it receives.  

C A plant grows about 3 inches for every 1 hour of sunlight it receives.  

D A plant grows about 1 inch for every 3 hours of sunlight it receives.

Solution

If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.

At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.

Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.

Hence, option D is correct

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

ANSWER ASAP I WILL MAKE BRAINLYIST
solve 1x+2y=4, -1x-4y=-14 using elimination
NO LINKS (i need the steps not just the answer)​

Answers

X+2y=4

+-x-4y=-14

——————

-2y=-10, y=5, x=4-10=-6

Answer:

x = -6

y = 5

Step-by-step explanation:

Add the equations

1x + 2y = 4

-1x - 4y = -14

————————

    -2y = -10

Divide both sides by -2

y = 5

Substitute for y = 5 into either equation

using  1x + 2y = 4

1x + 2(5) = 4

1x + 10 = 4

Subtract 10 from both sides

1x = -6

x = -6

Solution

x = -6

y = 5

Simplify 4 to the -2 power. A.) -8 B.) 1/16 C.) 1/8

Answers

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

1/16

Step-by-step explanation:

hope u understand ☺️☺️

round 420.86827 correct to 1 decimal place.
thank u

Answers

Answer:

420.9

Step-by-step explanation:

420.86827 ≈ 420.9 because we need to round to one decimal place.

Since 6 is greater than 5, we round 8 up to make it 9

420.9

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Can I please have help. I need these answers.

Answers

Answer:

1st: not

2nd: not

3rd: slope-intercept

4th: slope-intercept

Answer:

Read Below

Step-by-step explanation:

1) Slope Intercept

2) Slope Intercept

3) Not Slope Intercept

4) Not Slope Intercept

5x+7y=3914. I'm not quite sure how to write the x and y! First answer will get Brainliest, thanks!

Answers

Answer:

hanges made to your input should not affect the solution:

(1): Dot was discarded near "4.".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+7*y-(3914)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   5x+7y-3914  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+7y-3914  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286

 y-intercept = 3914/7  = 559.14286

Calculate the X-Intercept :

When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000

 x-intercept = 3914/5  = 782.80000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.429/2.000 = -0.714

Geometric figure: Straight Line

 Slope = -1.429/2.000 = -0.714

 x-intercept = 3914/5 = 782.80000

 y-intercept = 3914/7 = 559.14286

Step-by-step explanation:

Answer:

y= -5/7x+3914/7

Step-by-step explanation:

Slope form is y=mx+b

5x+7y=3914

7y = -5x+3914 minus the 5x from each side

7y=-5x+3914  divide 7 from each side --> y= -5/7x+3914/7

So, 5x+7y=3914 is in ax+by=c (standard form) the "a" in "ax" can't be negative either.

A picture is to be mounted on a board.
10 cm
14 cm
Picture
8 cm
Board
11 cm
Show that the picture and the board are not mathematically similar

Answers

Answer:

14 ÷ 10=1.4

Step-by-step explanation:

5 x 1/5 is equal to
А. 1
В. 178
с. -1/8
D. -1

Answers

Answer:

1

Step-by-step explanation:

5 x 1/5 =

5/1 x 1/5 = 5/5 = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The answer is a.

5 = 5/1
Multiply straight across
5/1 * 1/5 = 5/5 = 1

Write the equation of a line with a slope of 2/3 going through the point (-15, -22)

Answers

Answer:

y=(2/3)(x+15)-22

Step-by-step explanation:

You use the slope point equation which is y-y1=m(x-x1) or y=m(x-x1)+y1 where m is the slope and x1 and y1 are the coordinates you plug in.

Therefore, 2/3 is the slope m and (-15, -22) are the coordinates for x1 and y1.

y=(2/3)(x-(-15)) + (-22)

y=(2/3)(x+15)-22


1. Are the two expressions below
equivalent
25x + 20y = 5x(5+4y)

Answers

Answer:

No.

Step-by-step explanation:

25x + 20y = 5x(5 + 4y)

Distribute the 5x inside the (5 + 4y).

5x * 5 = 25x

5x * 4y = 20xy

25x + 20y ≠ 25 + 20xy, so the two expressions below are not equal.

The area of a rectangular field is 4368 m.
If the width of the field is 56 m, what is its length?
Length of the field:

Answers

Answer:

78m

Step-by-step explanation:

We can use the formula of area of rectangle which is the product of length and breadth.

=> A = l * b

=> 4368m² = 56m * l

=> l = 4368m²/56m

=> l = 78m .

Hence the length of the rectangle is 78m.

Buyers are skeptical of a motorcycle advertisement that claims the newest model gets an average of 52 miles per gallon. They believe the dealer is overstating the average. Which null and alternative hypotheses should the buyers test? Let u represent the true average gas mileage.

Answers

Answer:

Null hypothesis; H0: µ ≥ 52 mpg

Alternative hypothesis; Ha: µ < 52 mpg

Step-by-step explanation:

We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.

This means the alternative hypothesis will have an average less than 52. Thus;

Null hypothesis; H0: µ ≥ 52 mpg

Alternative hypothesis; Ha: µ < 52 mpg

Andre received and spent money in the following ways last month. For each example, write a positive or negative number to represent the change in money from his perspective.

His uncle gave him $25 as a present.
He earned $18 dollars tutoring.
He spent $10 on a book.

Answers

Answer:

+25;+18;-10

Step-by-step explanation:

Ok so let's break down the scenario step by step:

His uncle gave him $25 so that means it's positive so +25 Now he earned $18 so that means it is also positive so +18And now he spent $10 which means it is negative so - 10

(And of you want to find out the amount left with him,

(25+18)-10

=43-10

=$33)

Hope this helps :)

Please help! I will give brainliest!

Answers

Answer:

exponential dacay

hope it is helpful.. correct ans..

Suppose that resting pulse rates among healthy adults are normally distributed with a mean of 71 beats per minute and a standard deviation of 25 beats per
minute.
Use this table or the ALEKS calculator to find the percentage of healthy adults who have resting pulse rates that are less than 83 beats per minute. For your
Intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.2396).

Answers

Answer:

Where’s the table?

Step-by-step explanation:

Mr. López has a new house and wants to put a fence around the perimeter of the yard.

How many feet of fencing will he need to buy if his yard is rectangular and measures 100ft by 140ft?

A. 40 ft
B. 280 ft
C. 480 ft
D. 1,400 ft
E. 14,000 ft

Answers

Answer: C

Step-by-step explanation:

100ft + 100ft = 200

140ft + 140ft = 280

200ft + 280ft = 480ft

I'm not sure what this means, I need major help

Answers

Answer:

A.

240cm

320cm

400cm

The lengths are 240, 320, and 400cm.

B.

The Angle measurements are the same

37, 53, and 90 degrees.

Step-by-step explanation:

Hope this helps

Definition: This is a polygon with three sides.
Example: Obtuse, right, acute, scalene, isosceles, equilateral, and equiangular are classifications of this

Answers

The answer would be Triangle
hope this helps
umm so idrk what the question is but this describes a triangle
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