A rectangular box is 8 inches long, 10 inches wide and 6 inches tall. What is the approximate length of its longest diagonal? 10 inches 14.1 inches 4.9 inches 24 inches​

Answers

Answer 1

Answer:

d = 10 inches

Step-by-step explanation:

It is given that,

The length, breadth and the height of a rectangular box is 8 inches×10 inches ×6 inches

We need to find the length of its longest diagonal.

In a rectangle, 6 inches will act as perpendicular and 8 inches will be base. The diagonal can be calculated using Pythagoras theorem as follows :

[tex]d=\sqrt{8^2+6^2} \\\\=\sqrt{64+36}\\\\=10\ \text{inches}[/tex]

So, the length of its diagonal is 10 inches.


Related Questions

what is 23^a + 23^b ?​

Answers

Answer:

23^a + 23^b

Step-by-step explanation:

You can't simplify this further because they are different variables.

−15 ÷ 5 =


A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.

Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.

Answers

Answer:

-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3

Answer:

The answer is A,C,D

Step-by-step explanation:

Just had the question :D

4. Simplify: (4 – 5) – (13 – 18 + 2).

(a) -1,

(b) –2,

(c) 1,

(d) 2.

Answers

Answer:

2

Step-by-step explanation:

(4-5) - (13-18+2)

( -1) - ( -3)

-1 + 3

2

Answer:

hello

[tex](4 - 5) - (13 - 18 + 2) = ( - 1) - ( - 3) = ( - 1) + 3 = 2[/tex]

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 15 buyers are randomly selected, what is the probability that exactly a third of the buyers would prefer green?

Answers

Answer:

0.09

Step-by-step explanation:

Given that 50% of this population prefers the color green.

Let p the probability that one person selected from the population prefer the green color of the car. So,

p=0.05

There is only two chance, any person either prefer the green color or not, assuming this holds true for every person, so the mentioned population can be assumed as Bernoulli's population.

By using Bernoulli's theorem, the probability of exactly r success of n randomly selected from the Bernoulli's population is

[tex]P(r)=\binom{n}{r}p^{r}{(1-p)}^{n-r}\cdots(i)[/tex]

Here, 15 buyers are randomly selected, so, n= 15 and

[tex]r= \frac1 3 \times 15=5[/tex]

So, by using equation (i), the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is

[tex]P(r=5)=\binom{15}{5}(0.5)^{5}{(1-0.5)}^{15-5}[/tex]

[tex]=\binom{15}{5}(0.5)^{5}{0.5}^{10}[/tex]

[tex]=\binom{15}{5}(0.5)^{15}[/tex]

=0.0916

Hence, the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is 0.09.

-1 + 4 (6x + 3) = 1/2 (-10x - 10) -5

Answers

Answer: x = 60/11

Step-by-step explanation:

-1 + 4 (6x + 3) = 1/2 (-10x - 10) -5

Multiply the 1/2 with -10x, and -10.

Let's look on the side that we are working on now.

New equation:

- 1 + 4 (6x + 3) = -5x - 5 - 5

-5-5= -10

-1+4(6x+3)=-10-5x

Next we remove the brackets.

-1 + 4 * 6x + 3 = -10x -5

Now we bring the x's on one side and the non-x's on the other. When we bring a positive x on the other side of an equal sign, it becomes negative. If we bring a negative x on the other side of an equal sign, it becomes positive.

10x * 6x = 1 - 4 - 3 - 5

60x = 1 - 12

60x = -11

x = 60/11

* I had to do this all on paper *

x= 60/11 and totally didnt steal this answer lol

y’all tryna help me :/

Answers

IM DOING THE SAME THING ALEKS KNOWLEDGE CHECK

Answer:

4.12

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

        -64   -64

a^2 = 17

square root of 17 = 4.12310

round to the nearest hundredth 4.12

a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min

Answers

Answer:

estimated number of pages it can print will 80 in 1 min.

Step-by-step explanation:

If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.

we get

12/9 then multiply by 60 you will get 80 pages in 1 minute.

Number of pages a printer can print in 9 seconds = 12 pages

Number of pages than can be printed in 1 second =

= 12/9

= 1.3 pages

Number of pages that can be printed in 1 second = 0.75 page

Number of pages that can be printed in 1 minute =

= 1 minute = 60 seconds

Number of pages that can be printed in 60 seconds =

= 1.3 × 60

= 78 pages

Rounding off 78 , we get 80 .

Therefore , 80 pages can be printed in 1 minute .

I'm soooo freakin' bad at math bruh....someone please help :/

28. Which of the following pairs of integers will give you a sum of −12 and a product of 35?

a. −6, −6
b. −4, −8
c. −5, −7
d. 5, 7



29. If Jess has 3 more nickels than dimes for a total of $1.50, how many of each does he have?

a. 7 nickels, 4 dimes
b. 12 nickels, 9 dimes
c. 13 nickels, 10 dimes
d. 6 nickels, 12 dimes



30. The length of a rectangle is 9 inches greater than the width. The area is 36 in.2. Find the dimensions.

a. 2 in. by 11 in.
b. 4 in. by 9 in.
c. 3 in. by 12 in.
d. 2 in. by 18 in.

Answers

28. C (-5 + -7) = -12 ; (-5)(-7)=35
29. B (12 nickels, 9 dimes) 60+90
30. C (width=3 in) (length=12 in) (3)(12)=36in^2

which could be the function graphed below?
f(x) = √x - 5+1
f(x) = √x-2
f(x) = √x
f(x) = √x+4

Answers

Answer:

Option (4)

Step-by-step explanation:

Parent function of the graph attached,

f(x) = [tex]\sqrt{x}[/tex]

If the given function is shifted by 'a' units to the left,

Rule for the transformation is,

g(x) = f(x + a)

So the transformed function will be in the form of g(x) = [tex]\sqrt{x+a}[/tex]

Therefore, from the given options, f(x) = [tex]\sqrt{x+4}[/tex] will match our requirements.

Option (4) will be the answer.

Answer:

D

Step-by-step explanation:

If you answer someone's question=1 brainliest

Answers

Answer:I'mconfused

Step-by-step explanation:

Math helppppppppppp
-0.05/ -5/8
6 1/4/ -5/16
-3/5 / 2 1/4
-9/10/ 1 3/5

Answers

Answer:

1) 0.08

2) -20

3) -4/15 or -0.26 repeating

4) -9/16 or -0.5625

x/8 -4 =7/16 x=

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

Exact form: x = [tex]\frac{-64}{5}[/tex]

Decimal form: x = -12.8

Mixed number form: x = -12[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

x = - [tex]\frac{64}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{8}[/tex] - 4 = [tex]\frac{7}{16}[/tex] x ( multiply through by 16 to clear the fractions )

2x - 64 = 7x ( subtract 2x from both sides )

- 64 = 5x ( divide both sides by 5 )

- [tex]\frac{64}{5}[/tex] = x

i will give brain QUICK please

how much will fill in 1 second

Answers

Answer:

I'd say 1/2 a gallon

Step-by-step explanation:

Look at image Please help I’m struggling

Answers

Answer:

.75 per 1 apple

Step-by-step explanation:

A unit rate has only 1 of the item in the denominator

12 apples and 4 apples are not 1 of the item

$.75/ 1 apple is a unit rate

.75 an Apple

have a good day

7/11 ÷ 21/55 pls help me​

Answers

9514 1404 393

Answer:

  5/3

Step-by-step explanation:

You can divide fractions a couple of ways:

1. Invert the denominator and multiply

  [tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{7}{11}\times\dfrac{55}{21}=\dfrac{55\cdot7}{11\cdot21}=\boxed{\dfrac{5}{3}}[/tex]

2. Make both fractions have the same denominator and use the ratio of their numerators

  [tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{35}{55}\div\dfrac{21}{55}=\dfrac{35}{21}=\boxed{\dfrac{5}{3}}[/tex]

Can you please find the missing side these are similar figures.

Answers

Answer:

1.108

2.4

3.6

4.28

5.80

6. 10.5

hope this will help you

What is the value of the expression show when n= 6
“8 less than the quotient of 42 and a number”

Answers

Answer:

-1

Step-by-step explanation:

Your answer is -1 because you replace the variable n with 6. 42/6 = 7. 8-7 = -1

On June 30, Tina Nader's check register balance was $452.88 and her bank
statement balance was $697.55. Checks outstanding were 561, $39.28; 562,
$121.31; 564, $83.19. The statement showed earned interest of $0.89. Reconcile
the check register and bank statement.

Answers

Answer:

43

Step-by-step explanation:

Answer:

43 is what I would say

Step-by-step explanation:

step by step

The volume of a pyramid, V, is calculated using the formula V = 1/3AH, where A is the area of the base and
H is the height of the pyramid.

What is the base area of a pyramid with a volume of 72 m3 and A height of 12m?

Answers

Answer:

Step-by-step explanation:

V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Answer:

rearranged foruma: V3/H

base area:

A=18m^2

Step-by-step explanation:

A flat screen television measures diagonally 40 inches and 24 inches in length. What
is the width of the television?
32 in.
G 35 in.
H 51 in.
64 in.

Answers

The width should be 32 inches.

Need help answering 25pts ?

Answers

Answer:jnvjdfsStep-by-step explanation:

,vjkhfdsjhfjlsdhjkfDhjkdmnf,sdnfjdf

answer this please :(

Answers

Question?? Hey where is the question at I cannot answer without a question

HELP PLEASE IS FOR TODAY
20 points

•Segment A'B' is closer to point C than segment AB.

•Segment A"B'" is closer to point C than segment A'B'

•Segment A'B' is farther from point C than segment AB

•Segment A"B'" is farther from point C than segment AB.

•Segment A"B" is farther from point C than segment A'B'

Answers

Answer:

It's A. segment A"B" is closer to segment C than segment A"B".

Step-by-step explanation:

Help me solve this problem please

Answers

Answer:

x=-10

Step-by-step explanation:

15-2(x+5)=25

multiply the 2 by the x and 5 and you get

15-2x-10=25

since the 15 and the negative 10 are on the same side you add them together and get

5 -2x= 25

-5       -5

-2x =20

Then divide the -2/20= -10

Answer:

x = -10

Explanation:

15 - 2 ( x + 5 ) = 25

Distribute 2 through the parentheses

15 - 2x - 10 = 25

Subtract the numbers

5 - 2x = 25

Move constant to the right-hand side and change its sign

-2x = 25 - 5

Subtract the numbers

-2x = 20

Subtract both sides

x = -10

If 2x = 10, find the value of 1 - 2x

Answers

Answer:

2x=10

divide by 2

x=5

1-2x

1-2(5)

1-10

answer is -9

Answer:

-9

Step-by-step explanation:

First solve the equation, 2x=10 to get the value of x

2x = 10

x = 10÷ 2

x= 5

now, put this value of x in the expression 1-2x

1 - 2x

= 1- 2(5)

= 1- 10

= -9

A one year membership at the club costs $10. You pay an additional $1.25 each day you go.
Last year you spent a total of $45. How many days did you go?

Answers

You went 28 days

Subtract 10 from 45
And then divide 35 by 1.25

Answer:36

Step-by-step explanation:

someone text me on sc queenalyssa_05

Answers

Okay! You’re a girl right? Lol

Question 3 of 10
What is the slope of the line given by the equation below?
y + 2 = -3(x-5)
A. -5
B. 3
C. -3
D. 2

Answers

The answer is -3 !

Explanation:

Please give brainliest

please help! i need a circular flow model for amazon done and i have no idea how to do it! if somebody can make one for me it will be greatly appreciated!!

Answers

Answer:

Ill do it

Step-by-step explanation:

It costs my whole life insurance, 24,00 dollars, a brand new private jet, and gummy bears

A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?

Answers

Answer:

Profit = $18.8 per meal

Step-by-step explanation:

Chef ordered beef = 4 pounds

Cost of beef = $3.25 per pound

Total cost of beef = 4 × 3.25 = $13

Amount of potatoes ordered = 6 pounds

Cost of potatoes = $1.96 per pound

Total cost of potatoes = 6 × 1.96

                                     = $11.76  

Amount of carrots ordered = 5 pounds

Cost of carrots = $1.81 per pound

Total cost of carrots = 5 × 1.81 = $9.05

Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05

                                                                        = $33.81

Number of meals prepared with material purchased = 28

Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075

Selling price of one meal = $20

Profit per meal = Selling price - Cost price

                         = 20 - 1.2075

                         = 18.7925

                         ≈ $18.8

Therefore, he will make $18.8 for each meal.

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