A restaurant built a ramp to make their facility more accessible to people in wheelchairs. They covered the entire surface of the ramp with metal to make it more durable. How much metal did they use to cover the ramp, including the bottom? Give an exact answer (do not round).
Answers
Answer:
3.41 m² of metal would be needed to cover the ramp
Step-by-step explanation:
The ramp has the shape of a triangular prism.
A triangular prism is a prism that has two equal triangles as base connected by three lateral faces.
The surface area of a triangular prism is the sum of the area of its base and lateral faces.
The surface area = 2B + PH
Where B is the area of the base , H is the height of the prism and P is the perimeter of the triangular base
Hence:
B = 0.5 * 1 m * 0.8 m = 0.4 m²
h = 1 m
P = 1 m + 0.8 m + 0.81 m = 2.61 m
Surface area = 2 * 0.4 m² + 2.61 m × 1 m = 3.41 m²
3.41 m² of metal would be needed to cover the ramp
Answer:
1.79
Step-by-step explanation:
Related Questions
Nathan drinks 32 ounces of water per day he read that he should drink 9 ounces per day if he starts drinking 59 ounces per day what is the present increase round to the nearst percent
Answers
Answer:
he is dead from water overdose if he does that
Five angles of a hexagon are each 115 degrees calculate the size of the sixth angle.
Answers
Answer:
The sixth angle would be 115 degrees.
Step-by-step explanation:
hi, can someone teach me how to define rigid transformations?
Answers
Answer:
In mathematics, a rigid transformation is a geometric transformation of a Euclidean space that preserves the Euclidean distance between every pair of points. The rigid transformations include rotations, translations, reflections, or their combination.
Step-by-step explanation:
Gianna is substituting t = 2 and t = 7 to determine if the two expressions are equivalent. 5 (2 t + 3) 5 t + 25 Which statement is true? Both expressions are equivalent to 35 when t = 2. Both expressions are equivalent to 85 when t = 7. Both expressions are equivalent to 60 when t = 7. The expressions are equivalent.
Answers
Answer:
Both expressions are equivalent to 35 when t = 2
Step-by-step explanation:
Given
Expression 1: 5(2 t + 3)
Expression 2: 5t + 25
When t = 2
5 (2 t + 3)
= 5(2*2 + 3)
= 5(4 + 3)
= 5(7)
= 35
5t + 25
= 5*2 + 25
= 10 + 25
= 35
When t = 7
5(2 t + 3)
= 5(2*7 + 3)
= 5(14 + 3)
= 5(17)
= 85
5t + 25
= 5*7 + 25
= 35 + 25
= 60
Both expressions are equivalent to 35 when t = 2
Answer:
Both expressions are equivalent to 35 when t = 2.
A triangle has one side measuring 8 cm and the hypotenuse measuring 10 cm. What does the 2nd leg measure?
Answers
Answer:
8 cm
+ 10 cm = 18 cm
Step-by-step explanation:
9514 1404 393
Answer:
6 cm
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the legs is the square of the hypotenuse. If the missing leg is x, then ...
x² +8² = 10²
x² = 10² -8² = 36
x = √36 = 6
The 2nd leg measures 6 cm.
When you have a repeating decimal, what is one thing you must put to
show that it is repeating before submitting your answer?
Answers
Answer:
you need to put a line over the numbers that are repeating or if you can't put a line you can put this "..."
Step-by-step explanation:
CAN I PLEASE GET SOME HELP
The function f(x) is graphed on the coordinate plane.
What is f(−4)?
Answers
Answer:
f(-4) = 4
Step-by-step explanation:
Let the equation of the function is,
f(x) = mx + b
where m = slope of the line
b = y-intercept of the line
From the graph attached,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex] = [tex]\frac{-2}{4}[/tex]
Slope 'm' = [tex]-\frac{1}{2}[/tex]
y-intercept 'b' = 2
Therefore, function will be,
f(x) = [tex]-\frac{1}{2}x+2[/tex]
For x = -4,
f(-4) = [tex]-\frac{1}{2}(-4)+2[/tex]
= 2 + 2
= 4
Which is true from the graph.
Determine the product of 4.5 and 7.18. Show your work steps below.
Answers
also omg it’s been so long since ive done multiplication like this ashfjdkhs
solution of the linear equation 3x + 4y= 10
Answers
Add -4y to both sides.
3x + 4y + −4y = 10 + −4y
3x = −4y + 10
Divide both sides by 3.
3x /3 = −4y + 10 /3
x= −4 /3 y + 10 /3
Answer: x= −4 /3 y + 10 /3
Robin reads 5 pages of a book in 4 minutes. Based on this rate, what is the total number of minutes it will take Robin to read 200 pages?
Answers
Answer: 160 minutes
Step-by-step explanation: 200 divided by 5 is 40, then 40 times 4 is 160
Division is one of the four fundamental arithmetic operations. The time it will take Robin to read 200 pages of the book at the same rate is 160 minutes.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that it takes Robin 4 minutes to read 5 pages of a book. Therefore, the rate at which Robin reads a page of the book is,
Rate at which Robin reads = 4 minutes/5 pages = 0.8 minutes per page
Now, to know the time it will take for Robin to read the book of 200 pages at the same rate can be found by multiplying the number of pages by the rate of reading. Therefore, the rate at which Robin reads is,
Time to read 200 pages = 0.8 minutes per page × 200 pages
= 160 minutes
Hence, the time it will take Robin to read 200 pages of the book at the same rate is 160 minutes.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ2
Rewrite the sum using the GCF and the distributive property:
16 + 28
Answers
Answer:qsgqwgiq
Step-by-step explanation:
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Alfonso earns $16 per hour for the first eight hours of his shift. For each additional
hour he works beyond the first eight hours, he earns $24 per hour. If Alfonso
earned $320 from a single shift, how many hours long was that shift?
PLEASEE HELP
Answers
Answer:
he worked a 16 hour shift. after his first 8 hours he worked 8 more. so 16 all together.
Step-by-step explanation:
The total time of the shift of work of Alfonso in which he earned $320 from a single shift is 8 hours.
What is the relation between work and time?The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,
[tex]W=\dfrac{1}{n}[/tex]
Alfonso earns $16 per hour for the first eight hours of his shift. Thus, the total amount he earned in 8-hour shift is,
[tex]16\times8=128[/tex]
For each additional hour he works beyond the first eight hours, he earns $24 per hour. Let Alfonso worked x hours beyond her shift. Thus, the money earned by her in this additional x hours is,
[tex]24\times x=24x[/tex]
Alfonso earned a total $320 from a single shift. Thus,
[tex]128+24x=320\\x=\dfrac{320-128}{24}\\x=8\rm\; hours[/tex]
Hence, the total time of the shift of work of Alfonso in which he earned $320 from a single shift is 8 hours.
Learn more about the work and time here;
https://brainly.com/question/25572872
In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠3=120°.
What is m∠6?
Enter your answer in the box.
°
Line a b parallel to line c d is cut by a transversal forming 8 angles. The angles formed when the transversal intersects with line A B clockwise starting from top left are angle 1, 2, 3, and 4. The angles formed where the transversal intersects line c d clockwise from top left are angle 5, 6, 7, and 8.
Answers
Answer:
the answers is 160
you take 180-120=60
m<6= 60
Step-by-step explanation:
Help ASAP,first one will be the brianlistt!!!!!!!!!
Answers
Answer:
1 question : -12
2 question : 3/7
Step-by-step explanation:
Answer:
1. is -12 that's the answer 2. 0.42857142857
Step-by-step explanation:
what is the distance between the following point A (-2, -1) and point B (3,2)?
Answers
Answer:
5.83
Step-by-step explanation:
Distribute -2(-2x^2-9x)
Answers
Answer:
4x^2 +18x
Step-by-step explanation:
Answer:
4x²+18x
Step-by-step explanation:
105÷35.
this is for a math lesson can you help
Answers
Answer: 3
Step-by-step explanation:
Which phrase describes the solution set for this function?
f(x) = 2(x - 1)2 + 4
A.
one real solution and one complex solution
B.
two complex solutions
O C.
two real solutions
D.
one real solution
Answers
Note: The function is not an equation. I will form and solve an equation to answer the question.
Answer:
C. Two real solutions
Step-by-step explanation:
We have the following function:
f(x)=2(x-1)^2+4
It does not form an equation to solve, and therefore, there are no 'solutions'. We must equate the function to something to set a condition and solve it. We'll complete the equation.
Solve for x when:
f(x)=12
Substituting the function:
2(x-1)^2+4=12
Subtracting 4:
2(x-1)^2=8
Dividing by 2:
(x-1)^2=4
Taking square root:
x-1=\pm\sqrt{4}
Solving:
x=1\pm2
We have two real solutions x=3 and x=-1
Note if we had equated to 4, then the equation would have had only one real solution, and if we had equated to 0, we would have two complex solutions.
The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.
What is the discriminant?The discriminant of a quadratic is a number that depends on the components and allows some characteristics of the roots to be deduced without calculating them.
The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,
D = b² - 4ac
If D > 0, then the roots are real and distinct root.If D = 0, then the roots are real and equal roots.If D < 0, then the roots are imaginary roots.The equation is given below.
f(x) = 2(x - 1)² + 4
f(x) = 2x² - 4x + 2 + 4
f(x) = 2x² - 4x + 6
The discriminant is given as,
D = (-4)² - 4×2×6
D = 16 - 48
D = - 32
D < 0
The roots are complex root.
The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.
More about the discriminant link is given below.
https://brainly.com/question/15884086
On a tour of an old gold mine, you find a nugget containing 0.82 ounce of gold. Gold is worth $1566.80 per ounce. How much is your nugget worth?
Your nugget is worth
Answers
2. A long jump competition was held at Barangay Mathalino. John Mark
jumped of 6 meters of the field. How far did John Mark jump
Answers
This question is incomplete
Complete Question
A long jump competition was held at Barangay Mathalino John Mark
jumped 2/3 of 6 3/5 meters of the field. How far did John Mark jump?
Answer:
4 2/5 meters
Step-by-step explanation:
We are told:
John Mark jumped 2/3 of 6 3/5 meters of the field.
The distance John jumped us calculated as:
2/3 × 6 3/5 meters
Converting 6 3/5 meters to mixed fraction
= 33/5 meters
Hence, John jumped
=2/3 × 33/5 meters
= 22/5 meters
= 4 2/5 meters
Every month, your cell phone plan costs $90 and gives you unlimited talk, unlimited text messages, and 4 GB of data. The cell phone company also charges $20 for each gigabyte over 4 GB of data. How much will you be charged if you use 10 GB of data?
Answers
Answer: You will be charged $ 210 for 10 GB of data.
Step-by-step explanation:
Given : Cost of cell phone plan = $90
Additional charge over 4GB for each GB = $20
If 10 GB data is used , then after 4 GB you need to pay for 6 additional GB (10-4=6)
Total charge = (Cost of cell phone plan)+ (Additional charge) x (Number of gigabytes over 4 GB)
i.e. Total charge = $(90+20(6))
= $ (90+120)
= $ 210
Hence, you will be charged $ 210 for 10 GB of data.
SOME PLEASE HELPP
I NEED THE STEPS TO SOLVE IT
Answers
Answer:
answer is 7950
Step-by-step explanation:
compund interest=7950
What is X? 8(5x-5)=8(5x-5)
Answers
Answer:
An infinite number of solutions.
Step-by-step explanation:
When you try to solve for x, the result is 0 = 0.
This means that for any value you plug in for x, the result will always be equal to each other, therefore making the equation true.
PLEASE HELP MEEEE!!!!
Solve the system of equations and show work.
Answers
Answer:
No solution
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
Wayne is solving a system of linear equations.
Answers
305 is equal to t times 212
Answers
Answer:
no
Step-by-step explanation:
its not
Answer:305/212 = t
Step-by-step explanation:
PLZZZZZ HELP!!!!! WILL CHOOSE BRAINLIEST
Answers
Answer:
what are you asking of me?
Answer:there is no question
If B = 1 – q and C = 3q – q? – 1, find an expression that equals B - C
in standard form.
Answers
Answer:
[tex]q^{2} -4q+2[/tex]
Step-by-step explanation:
I need help with that
Answers
Answer:
y(dollars) = 12x
Step-by-step explanation:
Gordon types 3,496 words in 46 minutes. Find the unit rate.
Gordon types
words per minute.
Answers
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
When we are finding the unit rate we should know that the rate of change is the change of y over the change of x.
[tex]m=\frac{y}{x} =\frac{3496}{46}[/tex]
Now we just simplify to get...
76 words/min.
Answer:
Gordan types 76 words per minute.
I hoped this helps if so please mark brainliest!
Step-by-step explanation:
Divide the words by time.
3,496/46= 76