A rectangular box is 40 cm wide and 36 cm high. If the surface area of the box is 7440 square centimeters, find the length of the box.

Answers

Answer 1

Answer:

The length of the rectangular box is 30 centimeters.

Step-by-step explanation:

Let suppose that rectangular box is closed. The rectangular box is represented by a parallelepiped, whose surface area ([tex]A_{s}[/tex]), measured in square centimeters, is defined by the following formula:

[tex]A_{s} = 2\cdot (w\cdot h + w\cdot l + h\cdot l)[/tex] (1)

Where:

[tex]w[/tex] - Width, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

[tex]l[/tex] - Length, measured in centimeters.

If we know that [tex]A_{s} = 7440\,cm^{2}[/tex], [tex]w = 40\,cm[/tex] and [tex]h = 36\,cm[/tex], then the length of the rectangular box is:

[tex]2880 +80\cdot l + 72\cdot l = 7440[/tex]

[tex]152\cdot l = 4560[/tex]

[tex]l = 30\,cm[/tex]

The length of the rectangular box is 30 centimeters.


Related Questions

Find the value of the power.

7^4 =

Answer:

Answers

Answer:

2401

Step-by-step explanation:

7*7*7*7=2401

Answer:

28

Step-by-step explanation:

PLEASE HELP




Consider the expressions (3m+2n−6) and (−4−6m+7n).

Part A


What is the sum of the expressions for n=−2 and m=5?


The sum is

Answers

Answer:

5, -20

Step-by-step explanation:

Given the equation (3m+2n−6) and (−4−6m+7n).

Also, given that we're told that

n = -2 and

m = 5, if we take a rather direct approach by substituting like for like, we have

(3m+2n−6) = (3 * 5 + 2 * -2 - 6)

(3m+2n−6) = 15 - 4 - 6

(3m+2n−6) = 15 - 10

(3m+2n−6) = 5

(−4−6m+7n) = (-4 - 6 * 5 + 7 * 2)

(−4−6m+7n) = -4 - 30 + 14

(−4−6m+7n) = -34 + 14

(−4−6m+7n) = -20

Therefore, we proceed to conclude that the answers are 5 and -20 respectively

3х + 4 = 9x - 8
What is the value of X to make the equation true?

Answers

Answer:

x=2

Step-by-step explanation:

A. A
Which list is in order from least
greatest? 3/8 2/5 3/4 2/3

Answers

Answer:

Answer:

Order from Least to Greatest

3/8 < 2/5 < 2/3 < 3/4

Step-by-step explanation:

The area of a rectangle is 2- 3/4 inch. ^2 If the length of the rectangle is 1/2 inch, what is the measurement of the width?

Answers

Answer:

The width of the rectangle = 1.15 inches

Step-by-step explanation:

Explanation:-

Given that the length of the rectangle = [tex]\frac{1}{2} inch[/tex]

The area of the rectangle = [tex]\frac{2.3}{4}[/tex] inch²

We have to find the width of the rectangle

The area of the rectangle = length × width

                                  [tex]\frac{2.3}{4} = \frac{1}{2} X width[/tex]

                    ⇒     2 × 2.3 = 4× width

                   ⇒      4.6 = 4 w

                  ⇒      w = 1.15 inches

Final answer:-

The width of the rectangle = 1.15 inches

Two angle of a tranigle measure 55 and 20 what is the measure of the third angle

Answers

Answer:

105 degrees

Step-by-step explanation:

Recall that the sum of angles in a triangle is 180 degrees. As such, where a, b and c are the angles of a triangle then

a + b + c = 180 ( all in degrees)

Given that two angles of a triangle measure 55 and 20, let the size of gthe 3rd be T then

55 + 20 + T = 180

simplify

75 + T = 180

Subtract 75 from both sides

T = 180 - 75

T = 105

side length z =

angle d =

Answers

side length z=20
angle d=53

since they are similar triangles, angles should be the same, therefore,
d=53

if we consider the ration between the sides of the first triangle, its,
6:8:10 = 3:4:5 (when divided by the least common factor; 2)

by applying the same ratio for the second triangle, we can get,
15:20:25 (u can first divide both 15 and 25 by 5 and then multiply each term in 3:4:5 by 5)

therefore, z=20

Find the nth term for the following question: -5,-2,3,10,19​

Answers

Answer:

[tex]T_n = 2n - 1 + T_{n-1}[/tex]

Step-by-step explanation:

Given

[tex]Sequence: -5,-2,3,10,19[/tex]

Required

Find the nth term

We have:

[tex]T_1 = -5[/tex]

[tex]T_2 = -2 = 3 - 5 = 3 + T_1[/tex]

[tex]T_3 = 3 = 5 - 2 = 5 + T_2[/tex]

[tex]T_4 = 10 = 7 + 3 = 7 +T_3[/tex]

[tex]T_5 = 19 = 9 + 10 = 9 + T_4[/tex]

This gives:

[tex]T_2 = 3 + T_1 = 4 - 1 + T_1[/tex]

[tex]T_3 = 5 + T_2 = 6 - 1 + T_2[/tex]

[tex]T_4 = 7 +T_3 = 8 - 1 + T_3[/tex]

[tex]T_5 = 9 + T_4 = 10 - 1 + T_4[/tex]

---

Solving further, we have:

[tex]T_2 = 4 - 1 + T_1 = 2 * 2 - 1 + T_1[/tex]

[tex]T_3 = 6 - 1 + T_2 = 2 * 3 + T_2[/tex]

[tex]T_4 = 8 - 1 + T_3 = 2 * 4 - 1 + T_3[/tex]

[tex]T_5 = 10 - 1 + T_4 = 2 * 5 - 1 + T_4[/tex]

Following the above sequence: the nth term is:

[tex]T_n = 2n - 1 + T_{n-1}[/tex]

6. Devon has a stamp collection. He has 62 pages of stamps. There is an average of 30 stamps per page. About how many stamps does Devon have in his collection?​

Answers

Answer:

62 x 30 is 1860

Step-by-step explanation:

Look at the picture

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are exterior.

If angles are in the same direction from the intersection point, they are corresponding.

Angles in opposite directions from the point of intersection are vertical angles.

  same-side interior: {3, 5} and {4, 6}. (supplementary)

  same-side exterior: {1, 7} and {2, 8}. (supplementary)

  alternate interior: {3, 6} and {4, 5}. (congruent)

  alternate exterior: {1, 8} and {2, 7}. (congruent)

  corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

  vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

Will give brainliest

Answers

Answer:

.c

Step-by-step explanation:

HELPPPPP GUYS I NEED IT AND IM NOT GOOD AT MATH!!

Answers

Answer:

-21

Step-by-step explanation:

Answer:

Option b-21

As coefficient is the number before variables

and here the number before is -21

ANSWER ASAP:

Rupesh is mowing grass to save money for a vacation. He charges $12 20
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation?

Answers

Answer:

Step-by-step explanation:

12y + 40 ≥ 148

12y ≥ 108

y ≥ 9

Rupesh must mow at least 9 more yards to have

the $148 he needs.

A machine can make 165 granola bars in 3 minutes. At this rate, how many granola bars can the machine make in 7 minutes?

Answers

165/3=55 55x7=385 granola bars in 7 min

What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?

Answers

Answer:

The answer is y = 6x + 9.

-

Step-by-step explanation:

☆Remember: [tex]m =  \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Slope-intercept: [tex]y = mx + b[/tex]

---

☆We need to find the slope first. So just plug in according to the slope formula!

[tex]m =  \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6[/tex]

---

☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

[tex]y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]

---

☆Now all we need to do is plug in and we are done!

[tex]y = 6x + 9[/tex]

▪Happy To Help <3

Henry buys a yacht for 150 000 euros, the yacht depreciates in value by 18% each year. Work out the value of the yacht at the end of 3 years.

Answers

Answer:

369000

Step-by-step explanation:

i think its right you have to take 150,000 and subtract 18% from it and then take the new number you get and multiply that by 3

A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 220 found that 50% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer and explanation:

Null hypothesis: p is not 54%

Alternative hypothesis : p is equal 54%

First find standard deviation

Standard deviation is:

σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033

The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121

Therefore we can conclude that proportions are not same and fail to reject the null hypothesis

Let f(x) = 8x - 7.
What is (4)?
A.39
B.25
C.32
D.36​

Answers

the correct answer would be b.25

C. Assessment
1. Directions: Analyze each problem and write the letter of the correct answer.

1.Five girls went swimming and collected shells at the beach. They collected 28 red shells and 35 pink shells. What was the greatest number of shells per hour if they collected the same number of shells per hour?

A. 5
B. 4
C. 7
D. 2

2. Teacher Marlyn and Teacher Ledgen are planning a field trip for their classes. There are 30 boys and 42 girls in all. The pupils are grouped into Team of Boys and Girls. What is the largest number of pupils in a group having the same number of pupils ?
A. 6
B.5
C. 7
D. 10

3. Ronie bakes 16 biscuits and 24 salvaro. He packs these in boxes. What is the biggest number of biscuits and salvaro he can pack in a box?

A. 2
B.4
C. 3
D.8​

Answers

1. B
2. A
3. A
All of theses are true

What expression is not equivalent to 8 + (n - 4)?
A. (8 + n) - 4
B. n + 4
C. 12 + n
D. (8 - 4) + n

Answers

C. 12+n because n+4 is the answer the the question as well as A. And D.
C. 12 + n ....................

HELP PLEASE HELP PLEASE

Answers

Answer:

a: about 800? nonfiction books in valley

b: valley and central has more fiction than nonfiction books

c: there's probably about 2600 books in hillside

Step-by-step explanation:

16, -6.4, 2.56, ..., 6th term
The 6th term of the sequence is

Answers

Answer:

the 6th term is = -0.16384

Step-by-step explanation:

Notice this is a geometric sequence with first term 16, and common ratio (-0.4)

Therefore the first 6 terms of the sequence are:

a1 = 16

a2 = 16 * (-0.4) = -6.4

a3 = -6.4 * (-0.4) = 2.56

a4 = 2.56 * (-0.4) = -1.024

a5 = -1.024 * (-0,4) = 0.4096

a6 = 0.4096 * (-0.4) = -0.16384

The the 6th term is = -0.16384

two adjacent angles of a parallelogram are in the ratio 5:2: . find all the angles of the parallelogram​

Answers

Given :-

Two adjacent angles of a parallelogram are in the ratio of 5 : 2.

To Find :-

What is the all angles of the parallelogram.Solution :-

Let, the first angles be 5x

And, the second angles will be 2x

As we know that,

★ Sum of all angles = 180° ★

According to the question by using the formula we get,

⇒ 5x+2x=180°

⇒7x=180°

⇒ [tex]\sf x =\: \dfrac{\cancel{180^{\circ}}}{\cancel{7}}[/tex]

➠ [tex]\sf\bold{\red{x =\: 25.7^{\circ}}}[/tex]

Hence, the required angles are,

First angles = 5x = 5(25.7°) = 128.5°Second angles = 2(25.7°) = 51.4°

As we know that, 

opposite angles in a parallelogram

is equal.

∴ The all angles of a parallelogram is 128.5°,51.4°, 128.5° and 51.4°.

Use the empirical rule. the mean speed of a sample of vehicles along a stretch of highway is 66 miles per​ hour, with a standard deviation of 4 miles per hour. estimate the percent of vehicles whose speeds are between 62 miles per hour and 70 miles per hour.​ (assume the data set has a​ bell-shaped distribution.)

Answer: 99.7

Answers

Answer:

The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = 68.76

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 66miles per hour

Given that the standard deviation of the Population = 4 miles per hour

Let 'X' be the random variable in normal distribution

Let x= 62

[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{62-66}{4} =-1[/tex]

let x=70

[tex]Z = \frac{70-66 }{4} = \frac{70-66}{4} =1[/tex]

Step(ii):-

The probability that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = P(-1≤Z≤1)

                  = P(z≤1) -P(Z≤-1)

                 = P(Z≤1)+P(Z≤1)

                 = 2×P(Z≤1)

                 = 2×0.3438

                 = 0.6876

The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour

P(62≤X≤70) = 68.76

Write the rational number as a decimal. 7 over 40

Answers

Answer:

0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.

Answer: 0.175

Step-by-step explanation:

The Picture has the answers and the question.

Answers

Answer:

B

Step-by-step explanation:

Simplify the expression by combining like terms.

16 - 2v + 3

a
2v + 19
b
-2v + 13
c
2v + 13
d
-2v + 19

Answers

Answer:

d

Step-by-step explanation:

16 - 2v + 3

-2v + 3 + 16

-2v + 19

Answer d

Answer:

D) -2v + 19

Step-by-step explanation:

Combined like terms:

16 - 2v + 3

1. Add 16 and the +3 to combine these terms

-2v + (16 + 3) = -2v + 19

5 x 4 2/3
GOOD Explain for brainly

Answers

Answer:

23.3

Step-by-step explanation: 5x4 = 20    and 5x 2/3 = 3.3    i hoped i helped

Answer:

Decimal::::::: 23.3333333333

Fraction :)__---------- 23.3333333/10000000000

Step-by-step explanation:

As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So, 23.3/100 = (23.3 x 10)/(100 x 10) = 233/1000. (This fraction is alread reduced, We can't reduce it any further).

Evaluate the following expression. (14)3

Answers

Answer:

(14)3 is just 14 x 3. The answer is 42

Which expression is a trinomial?
x + y – 13
4xyz

Answers

Answer:

x+y-13

Step-by-step explanation:

A polynomial with three terms is called a trinomial.

rate brainliest if very helpful

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