The Fabric storage box below is shaped like a rectangular prism how much fabric is needed to cover the exterior of the box
Answers
Answer:
2952 square centimeters are needed to cover the exterior of the box.
Step-by-step explanation:
We need to cover five external faces of the box. The surface area formula ([tex]A_{s}[/tex]), measured in square centimeters, is derived from surface area formula for parallelpiped:
[tex]A_{s} = w\cdot l + 2\cdot w\cdot h + 2\cdot l \cdot h[/tex] (1)
Where:
[tex]w[/tex] - Width, measured in centimeters.
[tex]l[/tex] - Length, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
If we know that [tex]w = 36\,cm[/tex], [tex]l = 23\,cm[/tex] and [tex]h = 18\,cm[/tex], then the outer surface area of the storage is:
[tex]A_{s} = (36\,cm)\cdot (23\,cm)+2\cdot (36\,cm)\cdot (18\,cm)+2\cdot (23\,cm)\cdot (18\,cm)[/tex]
[tex]A_{s} = 2952\,cm^{2}[/tex]
2952 square centimeters are needed to cover the exterior of the box.
Related Questions
Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1
Answers
Answer:
the probability is 0.6
Step-by-step explanation:
The computation is shown below:
Let us assume the X would be the number appear on the top face
Now
= P(X = 1) ÷ P(X = 0)
= 0.3 ÷ 0.3 + 0.1 + 0.1
= 0.3 ÷ 0.5
= 0.6
hence, the probability is 0.6
A bag contains 1 dollar, 50 cents and 25 cents coins in the ratio 3:5:7. The total amount is $ 1856.
Find the number of each denomination.
Answers
Answer:
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Step-by-step explanation:
The total amount of coins is given by x.
Ratio 3:5:7
[tex]\frac{3}{3+5+7} = \frac{3}{15}[/tex] are worth $1.
[tex]\frac{5}{3+5+7} = \frac{5}{15}[/tex] are worth 50 cents = $0.5.
[tex]\frac{7}{3+5+7} = \frac{7}{15}[/tex] are worth 25 cents = $0.25.
The total amount of money is $1856.
This means that:
[tex]\frac{3x}{15} + 0.5\frac{5x}{15} + 0.25\frac{7x}{15} = 1856{/tex]
Multiplying everything by 15
[tex]3x + 2.5x + 1.75x = 27840[/tex]
[tex]7.25x = 27840[/tex]
[tex]x = \frac{27840}{7.25}[/tex]
[tex]x = 3840[/tex]
Amount of coins of 1 dollar:
[tex]\frac{3*3840}{15} = \frac{3840}{5} = 768[/tex]
Amount of 50 cent coins:
[tex]\frac{5*3840}{15} = \frac{3840}{3} = 1280[/tex]
Amount of 25 cent coins:
[tex]\frac{7*3840}{15} = 1792[/tex]
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Find the exact value of sec795°
Answers
Answer:
I believe the answer would be [tex]\sqrt{6}+\sqrt{2}[/tex] or 3.8637
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
jessica earned 70% on an exam. if she earned 14 points, what was the total number of points possible on the exam?
Answers
Answer:
20
Step-by-step explanation:
you just divid the number of points earned (14), by the percent earned (70). This gives you the total becuase you would divid 14 by the total to get 70.
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
Answers
Answer:
P(15) = (200,000)(1.08)15 = 634,434
Step-by-step explanation:
If the population at the beginning of 2000 was 200,000
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year
Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1
At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year:
Population P(15) = (200,000)(1.08)15 = 634,434 (
I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!
Answers
Answer:
The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!
Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.
Hope it was clear explanation.
180 miles in 4 hours at what rate how long will it take to drive 270 miles
Answers
Answer:
6
Step-by-step explanation:
180 / 4 = 45
45mi = 1hr
270 / 6 = 45
Please help on this question!
Answers
Answer:
d
Step-by-step explanation:
What is the VALUE of the underlined digit? 4,289,302 7,390,276
Answers
Answer:
8 is 10trillion and 7 is 1 million hope this helps!
Step-by-step explanation:
You bought a new car for $18,500. The
value of the car depreciates 4.6% annually.
How much will your car be worth in 5
years? (HINT: How many decimal places
are in money?)
Answers
Answer:
14,245
Step-by-step explanation:
First you find 4.6% of 18,500 which is 851. Then you multiply 851 by the years, which is 5, and you get 4255. Lastly just subtract 4255 from 18500.
What scale factor do you use to make
A 5mm object 100mm ?
Answers
Answer:
Utiliza una cifra que pueda ser resultado de dividir 100:5 y eso a su vez nos dará el valor que debe aumentar en la escala
I need help on this badly please come with good explanation on how to slove problems like this.
Answers
Answer:
Step-by-step explanation:
This is a parabola. Because of that, the extreme exists at either the highest point on the graph or at the lowest point on the graph (which is also known as the vertex). This is a positive parabola, so the vertex is a minimum. The coordinates of the vertex are (4, -2.5). The 4 is the x value; therefore, the value of x where the polynomial has an extreme (or extrema) is at x = 4
Which statement is always true
Answers
Answer:
No picture so I can’t answer the question
Step-by-step explanation:
5/8 + 1/8 simplify
1. 6/8
2. 6/16
3 . 3/4
4. 3/8
Answers
Answer:
5/8+1/8=1/8×{5+1)=6/8=3/4
5/8-1/8=1/8×{5-1)=4/8=1/2
Determine the order pair and quadrant for each point:
A.
B.
C.
Answers
Answer:
A: (-4,1) QUAD 2
B: (-1, -3) QUAD 3
C: (2,5) QUAD 1
D: (5, -4) QUAD 4
Step-by-step explanation:
There are 15 students on the chess team. Seven of the students are in the fourth grade.
Which shows the fraction of the team that is in the fourth grade?
A.
4
5
B.
7
15
O
C
8
15
OD. 15
7
Answers
Answer:
7/15 (B)
Step-by-step explanation:
7 fourth graders out of 15 total = 7/15
What type of transformation of △ABC results in △DEF ?
Answers
Answer:
reflection
Step-by-step explanation:
Answer:
Reflection
Step-by-step explanation:
As you can see, its the same shape, and the same size...but it looked mirrored. ABC has been reflected over the y-axis to make DEF.
It's not rotation, because the shape has not been rotated, if so it would have been in a different position
It's not translation, because the shape didn't stay in the same format (facing one side).
So it must be reflection
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Write an equation of the parabola with focus (0, 10) and vertex at the origin
Answers
Answer:
f(x) = (1/10)x²
Step-by-step explanation:
This is the answer that I think it is but I am not sure if it is right...
Hope this helps!
What is the solution to x-4≤6?
Answers
Answer:
x - 4 _< 6
Step-by-step explanation:
i got 413 pointssssssssssssssssssssss who wants em cuz i am leaving brainlry for answers
Answers
Answer:
ayooo i'll take it
Step-by-step explanation:
thanks
Answer:
Ooh a couple more for 100 points!!
Step-by-step explanation:
The legs of a right triangle measure 5 inches and 9 inches.
What is the measure of the smallest angle of the triangle?
Enter your answer, rounded to the nearest tenth of a degree, in the box.
Answers
Answer:
29.1
Step-by-step explanation:
Use logic.
Jk. Tan(x) = 5/9 so x = tan^-1(5/9)
Use a graphing calculator in degrees mode.
The measure of the smallest angle of the triangle would be equal to 29.1
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that the legs of a right triangle measure 5 inches and 9 inches.
We need to find the measure of the smallest angle of the triangle
Tan(x) = 5/9
Therefore, we have;
x = tan^-1(5/9)
x = 29.1
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 2. The perimeter of the triangle is 95. Find x.
Answers
Answer:
x = 11
Step-by-step explanation:
sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal
perimeter is the sum of all sides, so set up equation:
95 = 4x - 2 + 4x - 2 + x
95 = 8x - 4 + x
95 = 9x - 4
99 = 9x
x = 11
The function d = 16t2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function
o estimate the time it takes an object to fall 100 feet. (1 point)
Answers
Answer:
[tex]t = \frac{1}{4}\sqrt d[/tex]
Time to reach 100ft is 2.5 seconds
Step-by-step explanation:
Given
[tex]d = 16t^2[/tex]
Solving (a): Determine the inverse function
[tex]d = 16t^2[/tex]
Swap the positions of d and t
[tex]t = 16d^2[/tex]
Make d the subject
[tex]\frac{t}{16} = d^2[/tex]
Take positive square root of both sides
[tex]\sqrt{\frac{t}{16}} = d[/tex]
[tex]d = \sqrt{\frac{t}{16}}[/tex]
[tex]d = \frac{1}{4}\sqrt t[/tex]
Swap the positions of d and t
[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function
Solving (b): Find t when d =100
Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]
[tex]t = \frac{1}{4}\sqrt {100[/tex]
[tex]t = \frac{1}{4}* 10[/tex]
[tex]t = \frac{1* 10}{4}[/tex]
[tex]t = \frac{10}{4}[/tex]
[tex]t = 2.5[/tex]
12. Ryan deposited $3,500 in a savings account with
an interest rate of 3% per year. How much simple
interest will he earn in 4 years?
Answers
The width of a rectangle is 9 feet less than the length. The area is 580 square feet. Find the length and width of the rectangle.
Answers
Answer:
5220
Step-by-step explanation:
A=580, A=LW, W=L-9
580=L(L-9)
L^2-9L-580=0
(L-29)(L+20)=0, L>0 so L=29, W=29-9=20
The population of a small town is growing at a rate of 5% per year. If the population right now is 22 000, What will the population be 10 years from now?
Answers
Answer:
35,836
Step-by-step explanation:
I had this question before and I believe this is correct.
Answer:
the population 35,836 in 10 years.
Step-by-step explanation:
The numbers representing the population in consecutive years create a geometrical sequence with:
a1 = 22,000
and
q = 1 + 0.5 = 1.05
We are asked to find the population after
10 years. This number is the eleventh term in the sequence, so we are looking for:
a11 = a1 ⋅ q^10 = 22, 000 ⋅ (1.05)^10
After substitution of given data we have:
a11 ≈ 35, 836
*Answer:* "After 10 years the population will be 35, 836."
Surface Area of 40,40,40
Answers
Answer:
64000
Step-by-step explanation:
40×40×40
Multiply 40 and 40 to get 1600.
1600×40
Multiply 1600 and 40 to get 64000.
64000
WILL MARK BRAINLIEST HELP ASAP!! A caterpillar crawling in a straight line across a coordinate plane starts at point (—3, —4) and ends at point (25, 38). Counting the start point and end point, how many points with integer coordinates does the caterpillar touch?
Answers
Answer:
15
Step-by-step explanation:
The slope = [tex]\frac{change in y}{change in x} =\frac{38+4}{25+3} =\frac{42}{28} =\frac{3}{2}[/tex]
This means that when the caterpiller moves 2 units to the right, it moves 3 units up. Since 42/3 = 28/2 = 14. this happens 14 times from (-3, -4) to (25, 28). Counting the starting point (-3, -4) we get 14 + 1 = 15 points with integer coordinates.
What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
Answers
Answer:
undefined
Step-by-step explanation:
A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
The width
Answers
Answer: The length is 510 and the width is 110.
Step-by-step explanation:
To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because a rectangle have 4 sides. Two widths and two lengths.
You can now use the formula P= 2l + 2w
were P is the perimeter , l is the length, and w is the width.
the length is 400 more than the width, so we can represent that by the equation, l = w + 400
And now we know that the width is w.
So now we will input the perimeter, length, and into the formula to solve for w.
1240 = 2(w + 400) + 2w
1240 = 2w + 800 + 2w
1240 = 4w + 800
-800 -800
440 = 4w
w = 110
L= 110 + 400
L = 510
Check :
1240 = 2(510) + 2(110)
1240 = 1020 + 220
1240 = 1240