A box is a cuboid with dimensions 28 cm by 15 cm by 20 cm all measured to the nearest centimetre. Dis cases are cuboid which measure 1.5 cm by 14.2 cm by 19.3 cm and all measured to the nearest millimetre. Show that 17 disc cases, stacked, will definitely fit in the box. JUST TO LET YOU KNOW, THIS IS A QUESTION UNDER THE TOPIC BOUNDS. SO PLEASE ANSWER ACCORDINGLY.

Answers

Answer 1

Answer:

This only got my 2 out of 4 marks but I hope it is still helpful and you can work on it.

Step-by-step explanation:

27.5×14.5×19.5 = 7775.625cm³

1.55×14.25×19.35 = 427.393125cm³

7775.625÷427.393121 = 18.19314495

This is about upper and lower bound so anybody please carry on and help me here is a start the part underlined is where I got the marks


Related Questions

8.
Two parallel lines are
coplanar.
sometimes
never
always

Answers

Answer:

They never touch

Step-by-step explanation:

BEcause they dont touch because they are at a 90 degree angle forever so therefor it will not touch

Starting at home, Ishaan travel uphill to the grocery store for 12 minutes at just 15 mph. He then traveled back home along the same path downhill at a speed of 30 mph. What is his average speed for the entire trip from home to the grocery store and back?

Answers

Answer:

20 mph

Step-by-step explanation:

Average speed is given as total distance traveled divided by total time taken:

S = d / t

Let us find the total distance traveled.

He traveled 12 minutes (0.2 hours) at a speed of 15 mph. The distance to the grocery store is therefore:

d = s * t

d = 15 * 0.2 = 3 miles

He travels the same distance to get back home, this means that his total distance traveled is 6 miles.

Let us calculate the time taken to get home from the grocery store:

t = d /s

t = 3 / 30 = 0.1 hour

Therefore, his total time is:

t = 0.2 + 0.1 = 0.3 hours

His average speed is therefore:

s = 6 / 0.3 = 20 mph

Help plz i will make u a brainllest 24.Can you use the SSS Postulate or the SAS Postulate to prove abd=dca? 26 28

Answers

Answer:  24) C. SSS only

               26) D. DH = HF

Step-by-step explanation:

24.

Statement                    Reason

1. BD = CA                    1. Given

2. AB = CD                  2. Given

3. AD = AD                  3. Reflexive Property

4. ΔABD = ΔDCA        4. SSS Congruency Theorem

We have no information about the angles so cannot use SAS Theorem.

26.  G H F

      E H D

Line up the letters to find the congruent sides:

⇒  GH = EH

    HF = HD

     GF = ED

They can leave tonight by bus, or they can save two hours by leaving tomorrow morning and using the express train which travels 20 km/h faster than the bus. If the distance between South Central High and Calgary is 800 km, determine how long it will take to travel by bus, rounded to the nearest hour.

Answers

Answer:

The bus will take 10 hours to travel from South Central High to Calgary.

Step-by-step explanation:

Let suppose that both bus and express train travels at constant speed, whose kinematic formula is now described:

[tex]v = \frac{\Delta s}{\Delta t}[/tex]

Where:

[tex]v[/tex] - Speed, measured in kilometers per hour.

[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.

[tex]\Delta t[/tex] - Time, measured in hours.

The transportation time is cleared afterwards:

[tex]\Delta t = \frac{\Delta s}{v}[/tex]

The kinematic expressions for the bus and the express bus are, respectively: ([tex]\Delta s = 800\,km[/tex])

Bus

[tex]\Delta t = \frac{800\,km}{v}[/tex]

Express train

[tex]\Delta t - 2\,h = \frac{800\,km}{v + 20\,\frac{km}{h} }[/tex]

By eliminating [tex]\Delta t[/tex]:

[tex]\frac{800\,km}{v} -2\,h = \frac{800\,km}{v+20\,\frac{km}{h} }[/tex]

[tex]\frac{800\,km}{v} - \frac{800\,km}{v+20\,\frac{km}{h} } = 2\,h[/tex]

[tex]800\cdot (v+20)-800\cdot v = 2\cdot v\cdot (v+20)[/tex]

[tex]16000 = 2\cdot v^{2}+40\cdot v[/tex]

[tex]2\cdot v^{2}+40\cdot v -16000 = 0[/tex]

Which is a second-order polynomial and whose roots are:

[tex]v_{1} = 80\,\frac{km}{h}[/tex] and [tex]v_{2} = -100\,\frac{km}{h}[/tex]

Only first root is physically reasonable, as speed is a scalar, that is, a number that is represented only by magnitude. Then, the time taken by the bus to travel from Central High to Calgary is: ([tex]v = 80\,\frac{km}{h}[/tex])

[tex]\Delta t = \frac{800\,km}{80\,\frac{km}{h} }[/tex]

[tex]\Delta t = 10\,h[/tex]

The bus will take 10 hours to travel from South Central High to Calgary.

write this set B={3,9,27,81} in set builder form

Answers

Answer: [tex]B=\{3^x:x\in N, x\leq4\}[/tex]

Step-by-step explanation:

Given set: [tex]B=\{3,9,27,81\}[/tex] which is in a rooster form.

A set-builder form is a mathematical form to representing a set by stating the properties that its elements must satisfy.

In the given set each element is a multiple of 3.

[tex]3=3^1\\9=3^2\\27=3^3\\81=3^4[/tex]

So, [tex]B=\{3^1, 3^2, 3^3, 3^4\}[/tex] ,where 1,2,3,4 are natural numbers

The set-builder notation would be :

[tex]B=\{3^x:x\in N, x\leq4\}[/tex], where N is the set of natural numbers.

in functions, what does (x+2)(x-4) equate to? ​

Answers

Answer:

f(x) = x^2 -2x -8

Step-by-step explanation:

(x+2)(x-4)

FOIL

first: x*x = x^2

outer: -4x

inner: 2x

last: 2*-4x = -8

Add together

x^2 +2x-4x-8

x^2 -2x -8

This is a parabola

The mean sustained wind velocity, v, can be determined by the equation v = 6.3 StartRoot 1013 minus p EndRoot, where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

Answers

Answer:

909.8 millibars.

Step-by-step explanation:

The mean sustained velocity, v be determined by the equation:

[tex]v=6.3\sqrt{1013-p}[/tex], where p is the air pressure, in millibars, at the center of the hurricane.

Given that: v=64 meters per second, we are to find the value of p.

[tex]64=6.3\sqrt{1013-p}\\$Square both sides to eliminate the square root sign\\(64)^2=(6.3\sqrt{1013-p})^2\\4096=39.69(1013-p)\\$Divide both sides by 39.69$\\\dfrac{4096}{39.69}=1013-p\\ $Therefore:$\\p=1013-\dfrac{4096}{39.69}\\\\p=909.8$ millibars[/tex]

The approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second is 909.8 millibars.

Answer:

D

Step-by-step explanation:

Find the missing value. Round to the nearest tenths

Answers

Answer:

33.9 mm

Step-by-step explanation:

tangent 72=x/11

x=11*tan72=11*3.08=33.88≈33.9

Find the x-value for point C such that AC and BC form a 2:3 ratio.
A
4
2
B
-3-2
-1
2 3
4
5
6
ou

Answers

Answer:

B

Step-by-step explanation:

What is the value of the expression below?
(9-3)+4(6-7)
0 -7
0 -1
0 7
O 20​

Answers

Hello!

Answer:

[tex]\boxed{ \bf The~value~of~the~expression~is~2.}[/tex]

__________________________________________________

Explanation:

We can solve this expression using the order of operations.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(In some places it might be called BEDMAS).

(9-3)+4(6-7)

Start by solving the brackets (parentheses).

6 + 4(-1)

Next, we must multiply 4 by -1.

6 + (-4)

This can be written as:

6 - 4

= 2

I think you meant to put 2 instead of 20 in the options.

Which of the following slopes of a line passes through points (1, -3) and (0, 2)?

Answers

Answer:

0.5

Step-by-step explanation:

2-0=-2

-3-1=-4

-2/-4=0.5

Which phrase represents the algebraic expression 3p+6/7p-9

Answers

Answer:

The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine

Step-by-step explanation:

3p = three x a number

7p = seven x a number

3p+6 = sum of three x a number plus six

7p-9 = difference of seven x the number minus nine

(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine

help this is like the lasf oms ​

Answers

Answer:

678

86

8

Step-by-step explanation:

Please help thanks
a(n)=−6+3(n−1)

Answers

Answer:

a=-1

Step-by-step explanation:

a(n) = -6+3(n-1)

a(n) = -6+3n-3

a(n) -n=-6+3n-n-3

a=-6+3-3

+3 +3

a3=-3

---- ----

3 3

a=-1

Find the surface area of the square pyramid using its net.

Answers

Answer:

33 square units

Step-by-step explanation:

4 triangles - 1/2 * 3 * 4 = 24

base is 3 * 3 = 9

24 + 9 = 33

I NEED HELP WITH THIS WILL MARK BRAINLIEST!

Answers

Answer:

y=-2/5x-6

Step-by-step explanation:

The line crosses the y axis at -6 so the y intercept is -6. The line of the graph goes down 4 and right 10 so the slope is -4/10 which is equal to -2/5 when simplified.

Answer:

y= -2/5x -6

Step-by-step explanation:

The slope is 2/5, because slope is rise over run, and the two points rise 2, and run 5. The y intercept is -6, because the line crosses the y axis at -6. Slope intercept form is y= mx+b, where x and y are the points, and slope is m, and b is y intercept. So the equation is y= 2/5x -6. HOPE THIS HELPS!! :D This is a negative slope too, so the slope is negative.

n a group of 60 students, 18 students take algebra I, 20 students take Algebra II, and 10 students take both subjects. How many students don’t take either of these subjects?

Answers

3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820

Answer:

32 students take neither of the subjects

Step-by-step explanation:

If we add the 20+18 we get 38. But 10 of the students are counted twice. So subtract 10 from 38 to get 28. This way each of the students that take both subjects are only counted once. Then, we take the total number of students, 60 and subtract the 28 students taking algebra classes to get 32 students.

Ella completed the following work to test the equivalence of two expressions. '

Answers

Answer:

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

Step-by-step explanation:

Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.

Two algebraic expressions are said to be equivalent if their values obtained by substituting any values of the variables are same.

Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,

3f+2.6=3.1+2.6=3+2.6=5.6

2f +2.6=2.1+2.6=2+2.6=4.6

5.6≠   4.6

Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.

3f+2.6=2f+2.6

3f=2f

3f-2f=0

f=0

This is true only when f=0.

Hence,

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

this what i know

Answer:

C) The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence. ヾ(^▽^*)))

Step-by-step explanation:

Amir wants to buy a $1382 Apple iPhone that is 12% off. What is 1 point
the discounted price before tax? *

Answers

Answer:

1273

Step-by-step explanation:

C) the answer on edg is C.

The answer is C.........

if a sum of a number and 3 is multiplied by 4, the answer is the same as the twice the number plus 16. what is the number?

Answers

Answer:

2

Step-by-step explanation:

Your formula to find this out looks as follows: 4(x+3)=2x+16

Once you solve this, you’ll find your answer to be 2 and can even do the operation to prove it

Help I’ll mark brainlist

Answers

Answer:

a.

hope this helps! [tex]\sqrt{150} = 5\sqrt{6} \\\sqrt{x^{7} } = x^{2} \sqrt{x^{3} } \\\ \sqrt{120x^{4}y^{9} } = 2x^{2}y^{3}\sqrt{30}[/tex]

which of the following shows the polynomial below written in descending order?

Answers

Answer:

A

Step-by-step explanation:

The values must decrease x∧12≥3x∧7≥4x³≥9x

In right triangles ABC,angle B=90.if AB=20cm BC=21cm,find AC.​

Answers

Answer:

AC=41cm is the answer

Step-by-step explanation:

as AC=AB+BC

PUTTING VALUES

AC=20cm+21cm

AC=41cm

Can someone please help me I need help please help me please help

Answers

Answer: just graph these two equations

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

the initial cost, $10, is your b value for the equation y = mx + b so yo would start here on the y axis. but for the second option you start at zero since you don't have a b value

Answer:

use this hope help you

option a: y = 5x + 10

option b: y = 7.5x

and then tell at what number of event would having a card and not having a card is cheaper.

Step-by-step explanation:

Find the least common multiple of 10 and 25, this time i am serious

Answers

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Answer:

50

Step-by-step explanation:

25: 25, 50, 75, 100

10: 10, 20, 30, 40, 50

Which equation has the steepest graph?
A. y = 10x-5
B. y=3/4x-9
c. y = -14x+1
D. y = 2x + 8

Answers

The equation that has the steepest slope is y = -14x + 1

What is a slope?

A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.

Analysis:

A line is said to be the steepest if it has the highest absolute value of the gradient or slope.

From the equations, the coefficient of x in the equations is taken as the slope.  y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.

Learn more about slope: brainly.com/question/3493733

#SPJ2

Answer:

Y=-14x+1

Step-by-step explanation:

Helppp!!!! please!!!

Answers

Answer:

Option B is the correct answer

Step-by-step explanation:

Center of the circle lie on point (-1, - 3) = (h, k)

[tex] \implies \: h = - 1 \: \: k = - 3 \\radius \: r \: = 2 \\ equation \: of \: circle \: in \: standard \: form \: \\ is \: given \: as : \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ {(x + 1)}^{2} + {(y + 3)}^{2} = {2}^{2} \\ \purple{ \boxed{ \bold{ {(x + 1)}^{2} + {(y + 3)}^{2} = 4}}}[/tex]

Find the range of the given function y = 5x + 2, where x > -2.

Answers

Answer:

{-3, 2, 7, ...... } is the range of given function.

Step-by-step explanation:

We are given that the function is defined as:

[tex]y = 5x + 2[/tex] where [tex]x > -2[/tex].

To find:

Range of the given function = ?

Solution:

First of all, let us have a look at the definition of Domain and Range.

Domain of a function f(x) is the set of input that is valid i.e. the value of x which are valid.

For example, in the given question, x > -2 i.e. x can be any value from the set {-1, 0, 1, 2, ......} is the domain of given function.

Range of a function f(x) is the set of output that is valid according to the input given.

For the given equation, let us put the value of x one by one and try to find out the value of y.

Putting x = -1 first:

[tex]y = 5 \times -1+2\\\Rightarrow y=-3[/tex]

Putting x = 0:

[tex]y = 5 \times 0+2\\\Rightarrow y=2[/tex]

Putting x = 1:

[tex]y = 5 \times 1+2\\\Rightarrow y=7[/tex]

So, the range is : {-3, 2, 7,......}

(7x^2+6) -(2x - 5) subtract

Answers

Answer:

7x² - 2x + 11

Step-by-step explanation:

(7x² + 6) - (2x - 5) → 7x² + 6 - (2x-5)

7x² + 11 - 2x → 7x² - 2x + 11

Answer: 7x² - 2x + 11

Hope this helped! :)

Answer:

7x^2-2x+11

Step-by-step explanation:

PLZ HELP!! I WILL NAME BRAINLIEST thxs

Answers

Answer:

1.) f(-2)=g(4)

2.) f(0) = g(-2)

3.) f(-4)=g(-2) and f(4)=g(4)

4.) -9

Step-by-step explanation:

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