The volume of a cuboid is 675cm3. The length is 15cm and the width is 30mm. Work out the height of the cuboid in cm.

Answers

Answer 1

Answer:

Step-by-step explanation:

30 mm = 3 cm

[tex]\\ height=\frac{Volume}{length*width}\\\\=\frac{675}{15*3}\\\\=15 cm[/tex]

Answer 2

Answer:

h = 15 cm

Step-by-step explanation:

V = l×w×h

h = V/l×w

= 675cm³/15cm×3cm

= 675cm³/45cm²

= 15 cm


Related Questions

What is the value of this discriminant?

Answers

Answer:

The answer is A.

Step-by-step explanation:

The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :

D = b² - 4ac

D = (-4)² - 4(1)(4)

= 16 - 16

= 0

I think that the answer is a bit I’m not too sure

g(x) = 1/3 * (2/9)^x. Does the function model growth or decay?

Answers

The function models Exponential Decay due to the fact that as

x -> infinity, y-> 0

Answer:

It Decays

Step-by-step explanation:

Why because Kahn Acadmey  said so

An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?

Answers

Answer:

work is shown and pictured

What are the domain and range of f(x) = |x + 6|?

Answers

Answer:

The domain is (-∞,∞)

The range is [0,∞)

Step-by-step explanation:

The graph will be a V shape facing upwards with a vertex of (-6,0)

Answer:

Domain = (-∞,∞)

Range = [0,∞)

Step-by-step explanation:

Corey and David both have lots of video games. The number of games Corey has can be represented by x . Ricky has 3 times as many games as Corey. The total number of games is 64 . What is x, the total number of games Corey has?

Answers

Answer:

21.3333333

Step-by-step explanation:

64/3=x

64/3=21.3333333

Sorry if its wrong.

What is 6 divided by 2

Answers

Answer: 3
To check:
2 * 3 = 6

Answer:

3

Step-by-step explanation:3x2=6

How old am I if 2 times my age increased by 244 is 400?

Answers

Answer:

78

Step-by-step explanation:

400-244=156

156/2=78

Answer:

78 years old

Step-by-step explanation:

400 − 2 x = 244

400 − 244 = 2 x

156 = 2 x

so the answer would be 78 years old...

Hope that was helpful.Thank you!!!

Based on this work, what is the solution to the system?

(-4, -4)
(0, 0)
no solution
infinitely many solutions

Answers

Answer:

no solution

Step-by-step explanation:

Based on the information provided, the solution to the system is (-4, -4). Option A is the correct answer.

In a system of equations, the solution represents the values of the variables that satisfy all the equations simultaneously. In this case, we are given the solution points (-4, -4) and (0, 0). Option A is the correct answer.

If the given points satisfy both equations in the system, then it is the solution to the system. By substituting the values of x and y from the given points into the equations, we can check if they hold true.

Let's assume the system of equations is represented as follows:

Equation 1: x + y = -8

Equation 2: 2x + 2y = -16

Substituting (-4, -4) into the equations:

Equation 1: -4 + (-4) = -8 (True)

Equation 2: 2(-4) + 2(-4) = -16 (True)

Since both equations are true for the point (-4, -4), it is the solution to the system. Therefore, the solution to the system is (-4, -4).

Learn more about Solution System here:

https://brainly.com/question/30285644

#SPJ2

The complete question is, "Based on this work, what is the solution to the system?

a. (-4, -4)

b. (0, 0)

c. no solution

d. infinitely many solutions"

what is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?

Answers

Answer

y=45

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6.4 × 3 =19.2

44.4 - 19.2 =2.8y

25.2=2.8y

25.2/2.8=y

y=9

Pls help me w this question

Answers

Answer:

The answer is (3, 18)

Step-by-step explanation:

This is because if you go to 3 on the x axis and up to 18 on the y axis, you have a point there.

2y + 4(y + 1) = blank y + blank

Answers

[tex]2y + 4(y + 1)[/tex]

Expand the brackets.

[tex]2y + 4y + 4[/tex]

Add the like terms.

[tex]6y + 4[/tex]

6y+4

Answer:

  6   y +    4  

Step-by-step explanation:

=> 2y+4(y+1)

=> 2y+4y+4

=> 6y+4

Subtract 2y²+5y +8 from 6y- 2y+3.​

Answers

Answer:

The answer to this problem would be :

-2y^2-y-5

Workers in an office of 90 staff where asked there favourite type of takeaway. The results are summarised in the table. Work out the size of each angle to draw a pie chart.

Answers

how do i answer this??

Step-by-step explanation:

just draw out according to a graph chart or pie chart

a circular pool has a radius of 40 feet. what is the area of the pool?

Answers

Answer:

5026.55

Step-by-step explanation:

A=πr2=π·402≈5026.54825ft²

Tanya has ten bills in her wallet. If she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills, how many of each does she have?

Please tell me the steps will choose brainliest

Answers

Answer:

5 Ones dollar bills

3 five dollar bills

2 ten dollar bills

Step-by-step explanation:

I will mark you brainliest!!!! What is the first step in adding these equations to eliminate y?

Answers

Answer:

I believe D

Step-by-step explanation:

If you multiplied -3 times 3 that would make -9

you can then add 9 + -9 and cross y off

What is the scale factor from small triangle to the larger triangle

Answers

Answer:

scale factor = 3

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, larger to smaller.

scale factor = [tex]\frac{BC}{TB}[/tex] = [tex]\frac{12}{4}[/tex] = 3

Please help! Correct answer only! This assignment is due today.


A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

18) A TV screen has a length of 15 inches.

The diagonal of the TV is 25 inches. What

is the width of the TV?

A) 400 inches

B) 40 inches

C) 20 inches D) 29.2 inches

Answers

Answer: 20 inches

Step-by-step explanation:

From the question, a television screen has a length of 15 inches while the diagonal of the TV is 25 inches. To calculate the width, we will use the hypoteneous rule.

Hypotenuse² = length² + width²

25² = 15² + width²

width² = 25² - 15²

width² = 625 - 225

width² = 400

width = ✓400

width = 20

The width of the TV is 20 inches.

A computer manufacturer estimates that its cheapest screens will last less than 2.8 years. A random sample of 61 of these screens has a mean life of 2.4 years. The population is normally distributed with a population standard deviation of 0.88 years. At α=0.02, what type of test is this and can you reject the organization’s claim using the test statistic?

Answers

Answer:

The test is left - tailed

We cannot reject the organization's claim ( its cheapest screens will truly last less than 2.8 years)

Step-by-step explanation:

Sample size, n = 61

Sample mean, [tex]\bar{X} = 2.4[/tex]

Standard deviation, [tex]\sigma = 0.88[/tex]

Significance level,  α=0.02

Null hypothesis, [tex]H_{o} : \mu = 2.8[/tex]

Alternative hypothesis, [tex]H_{a} : \mu < 2.8[/tex]

It is clearly seen from the alternative hypothesis, that it is a left tailed test. It is not tailed towards the two directions.

Calculate the test statistic:

[tex]Z = \frac{\bar{X} - \mu}{\sigma/\sqrt{n} } \\Z = \frac{2.4 - 2.8}{0.88/\sqrt{61} }\\Z = - 3.55[/tex]

Calculate the P-value:

P(Z < -3.35) = 0.0002

Since (p-value = 0.0002) < (α=0.02), the null hypothesis is rejected.

It can therefore be concluded that the mean of the cheapest screen is less than 2.8 years. i.e. the cheapest screen will last less than 2.8 years

Answer:

The null and alternative hypotheses:

H0: u = 2.8

H1: u < 2.8

This is a left - tailed test.

For test statistics, use the formula:

[tex] Z = \frac{x' - u}{\sigma/ \sqrt{n}} [/tex]

Where,

Mean, u = 2.8

Sample mean,x' = 2.4

Sample size, n = 61

Standard deviation [tex] \sigma [/tex] = 0.88

Significance level = 0.02

[tex] Z = \frac{2.4 - 0.02}{0.88/ \sqrt{61}} =-3.55[/tex]

Test statistics, Z = -3.55

Pvalue:

Pvalue of Z = -3.55 using standard normal table,

NORMSTID(-3.55) = 0.00019

Pvalue = 0.0002

Critical value:

Since this is a left tailed test, the critical value at 0.02 level of significance is:

[tex] Z_\alpha = Z_0_._0_2 = -2.05 [/tex]

Decision: If pvalue is less than level of significance reject null hypothesis H0.

Conclusion:

Since pvalue, 0.00019 is less than level of significance, 0.02, reject null hypothesis, H0.

We conclude that the mean life of the cheapest screen is less than 2.8 years

2x^2+14x-36 factored. please and thanks

Answers

Answer:

2 (x - 2) (x + 9)

Step-by-step explanation:

Mark brainliest please

zero has _________ reciprocal

Answers

Answer:

No

Step-by-step explanation:

No real number when multiplied with zero makes one.

Answer:

Zero has no reciprocal

Step-by-step explanation:

The reciprocal of a number is what you get when you flip the numerator and the denominator of a number. For instance, with the number 5, it can be rewritten as 5/1. The reciprocal of this would therefore be 1/5. For 0, it can also be rewritten as 0/1. However, if you take the reciprocal of this, you get 1/0, which is undefined. Therefore, zero has no reciprocal. Hope this helps!

Which scenario is modeled in the diagram below? Percents Total 75% 25% 100% 25% 25% 25% 25% $55.15 $55.15 $55.15 $55.15 Kaia saved $55.15 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $165.45 on a new guitar because it was 75 percent off. She paid $220.60 for the guitar. Kaia saved $55.15 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60. Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.

Answers

Answer:

the answer is d

Step-by-step explanation:

i did whhat the other person said and got it right

Answer:

D

Step-by-step explanation:

Merryvale Orchards sold 85 bags of oranges yesterday. Each bag contained 32 oranges. Round each number to the nearest ten to estimate the number of oranges sold

Answers

Answer:

2720 oranges were sold

A geometric sequence has the explicit formula an = (-2) x 3^n- 1. What is the 4th term?

Answers

Answer:

-54

Step-by-step explanation:

Please write this sequence in the following form:  a(n) = (-2)*3^(n- 1)

Then a(1) = -2*3^0  =  -2

         a(2) = -2*3^(2 - 1) = -6

          a(3) = -2*3^(3 - 1) = -2*9 = -18

          a(4) = -2*3^(4-1) = -2*27 = -54

20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}

Answers

Answer:

a₆ = 6

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = [tex]\frac{216}{-1296}[/tex] = [tex]\frac{-1296}{7776}[/tex] = [tex]\frac{7776}{-46656}[/tex] = - [tex]\frac{1}{6}[/tex]

This indicates the sequence is geometric.

To obtain any term in the sequence, multiply the previous term by r, thus

a₅ = 216 × - [tex]\frac{1}{6}[/tex] = - 36

a₆ = - 36 × - [tex]\frac{1}{6}[/tex] = 6

Answer:

It's 6

Step-by-step explanation:

Got it right!

1 –46,656

2 7,776

3 –1,296

4 216

5 36

6 6

divided by 6 every time

After reading 7/9 of a book , 40 pages are left .How many pages are there in the book

Answers

Answer:

180 pages

Step-by-step explanation:

Answer: 180 pages

Step-by-step explanation:

Let the equation be

x - 7/9x = 40

9x - 7x = 360

x = 360 / 2 = 180

The book has total 180 pages

Means he has read (180 - 40) = 140 pages

If x – 9 is a factor of x2 – 5x – 36, what is the other factor? x – 4 x 4 x – 6 x 6

Answers

Answer:

(x+4)

Step-by-step explanation:

Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)

Answer:

b (x+4)

Step-by-step explanation:

edge

If f(x) = 49- x and g(x) = 7-, which is the rule of the function (8-3)(x)?
a
-x2 - X+ 56
b. x? - 7x2 - 49x + 343
7+X
d. x2 + x +42
C.
Please select the best answer from the choices provided
A. B. C. D.

Answers

Answer:

B ) x³ -7 x² -49 x +343

 (f .g) (x)  = x³ -7 x² -49 x +343

Step-by-step explanation:

Explanation:-

Given f(x) = 49 - x²  and g(x) = 7-x

  (f .g) (x)  = f(x) .g(x)

  (f .g) (x) = ( 49 - x² ) (7-x)

              = 49 ((7-x))- x²(7-x)

             = 343 -49 x -7 x² + x³

 (f .g) (x)  = x³ -7 x² -49 x +343

Conclusion:-

(f .g) (x)  = x³ -7 x² -49 x +343

what is a slope of the line? ​

Answers

Answer

0

Step-by-step explanation:

A horizontal line  has a slope of 0 always

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