Answers
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
For a prism we take into account the following:
[tex]\boxed{\bold{Lateral\ area = (Perimeter \ of \ the \ base) (height)}}[/tex][tex]\boxed{\bold{Total\ area = Lateral\ area + 2 (base\ area)}}[/tex]Taking into account the above, we first find the lateral area:
In the triangular base, the height divided into 2 small right triangles of Hypotenuse = 5 and Height = 3. By Pythagoras we have this:
3² + base² = 5²9 + base² = 25
base² = 25 - 9
base² = 16
base = 4
From this we obtain that the bases of the small right triangles measure 4 therefore the triangular base is isosceles where we have:
Equal sides = 5 Uneven side = 8The perimeter of the triangular base will be the sum of the sides, that is:
Perimeter = 5 + 5 + 8
⇒ Perimeter = 18
Since the perimeter of the base of the prism is 18 and the height is 20, we replace in the equation for the lateral area:
Side area = (18) (20)
⇒ Lateral Area = 360 m²
Now we find the area of the triangular base with base = 8 and height = 3:
[tex]\bold{Area=\dfrac{(base) (height)}{2} }\\\\\\Area=\dfrac{(8)(3)}{2} \\\\\\Area=\dfrac{24}{2}\\\\\\\boxed{\bold{Area=12}}[/tex]
Since we have that the lateral area is 360m² and the area of the triangular base is 12m², we replace in the equation of the total area:
Total area = 360 + 2 (12)
Total area = 360 + 24
Total area = 384 m²
The total area of the prism will measure 384m²
I hope I have helped you, greetings from Venezuela!
Related Questions
Pls help, my address is 123 help
Answers
Answer:
y=2x
Step-by-step explanation:
First you find out what times what equals 2 and that's it
HELP PLSSSS I BEGG PLSSSSSSSSSSSSSS
Answers
Step-by-step explanation:
every Saturday Michelle takes her dog to the park.
Stevie is laid-back guy and he usually handles tough situations in a very negative way.
Allied liberated another town and also helped hundreds of enemy soldiers.
Write a denominator for 3/8 and 2/12
Answers
Answer:
24
Step-by-step explanation:
8 * 3 = 24
12 * 2 = 24
(the star is the multiplication sign)
Hope this helps :)
A construction crew is lengthening a road that originally measured 45 miles. The crew is adding one mile to the road each day.
Let L be the length (in miles) after D days of construction.
Write an equation relating to . Then use this equation to find the length of the road after days.
Answers
Answer:
L = 45 + D
Step-by-step explanation:
Examples
D = 2
L = 47 miles
D = 5
L = 50 miles
D = 10
L= 55 miles
It's Friday afternoon and six fraternity brothers at UNC have just attended their last class of the semester. To unwind before the final exam Monday morning, they decide to spend the weekend at the beach. After a weekend of immature, irresponsible behavior, they oversleep Monday morning and miss the final exam. Later that day they go to their professor (who received her Ph.D. from NC State) and explain that they went to the beach and were on the way back for the final exam but their car (a BMW of course) had a flat tire. The professor says that they can come back the next morning and she will give them a make-up final exam consisting of one short-answer question! The students are ecstatic and high-five each other all the way back to the frat house. The next morning the professor puts each student in a different room and hands them their one-question test. The question: Which tire?
Required:
What is the probability that all 6 students will say that the same tire was flat?
Answers
Write the first five terms of the geometric sequence.
an= - 4an-1; a1= 5
Answers
Answer:
don't know only
Step-by-step explanation:
ok
aaaaacvhj
The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 7 mg.
A.) What was the initial mass (in mg) of the sample?
B.) What is the mass (in mg) 4 weeks after the start?
You may enter the exact value or round to 4 decimal places.
Answers
9514 1404 393
Answer:
A) 448 mg
B) 3.5 mg
Step-by-step explanation:
24 days is 24/4 = 6 half-lives. That is, the mass of 7 mg is 2^-6 times the initial mass.
A) The initial mass is 2^6×(7 mg) = 448 mg
__
B) 4 weeks is 28 days, or 7 half-lives. The remaining mass will be half the amount after 6 half-lives.
(7 mg)/2 = 3.5 mg . . . . remaining after 4 weeks
if you answer all the questions I will give you 80 points and brainliest
Answers
Answer:
1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216
2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188
3) SA = 2(6*12 + 14*12 + 6*14) = 648
4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270
5) 2(16*9 + 4*9 + 16*4) = 488
6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8
7) SA = 2(7*7 + 14*7 + 7*14) = 490
8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28
9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564
Answer:Answer:
1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216
2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188
3) SA = 2(6*12 + 14*12 + 6*14) = 648
4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270
5) 2(16*9 + 4*9 + 16*4) = 488
6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8
7) SA = 2(7*7 + 14*7 + 7*14) = 490
8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28
9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564
Step-by-step explanation:
what’s the remainder he’ll please
Answers
Answer: 13
Step-by-step explanation: Add 10+1+1+1=13
Answer:
The remainder is 12 because what is left is 12
(12 cannot be divided by 24)
Hope this helped!
geometry I need help find the value of theta and round your answer to the nearest tenth.
Answers
Answer:
54deg
Step-by-step explanation:
We need to compute the inverse cosine of 10/17. I can't do it by hand, so I used a calculator and it arrived at ~53.97deg which is 54deg rounded to the nearest tenth.
help please. pleasee i will mark brain please
Answers
Answer:
A=3
B=3
C=2.5
D=5
E=1
F=2
G=4
Here you go! Happy to help!
Step-by-step explanation:
1 Gabriel and his mom have jars of apple sauce stored in boxes in their pantry. Each box contains 12 jars of
apple sauce. Gabriel's mom uses 3 jars from 1 of the boxes,
Which function shows the relationship between y, the total number of jars of apple sauce remaining in the
pantry, and x, the number of boxes in the pantry
A. y = 9x
B. y = 11x +9 C. y = 12x
D. Y = 12x - 3
Answers
Answer:
D. y = 12x - 3
Step-by-step explanation:
We know that the number of boxes is x and that each box contains 12 jars
This means that:
Total number of jars = number of boxes * number of jars in each box
Total number of jars = 12x jars
Now, Gabriel's mum used 3 jars
This means that, the number of remaining jars (y) can be calculated by removing 3 from the total number of jars (12x)
Based on the above:
Remaining jars = Total number of jars - Number of used jars
Y = 12x - 3
Hope this helps :)
I really need help , Please help
Answers
Answer:
Step-by-step explanation:
Inpert
Segment
A
B
‾
AB
has endpoints at
A
(
−
4
,
5
)
A(−4,5) and
B
(
12
,
13
)
.
B(12,13).
Determine the coordinates of point
C
C that lies on
A
B
‾
AB
such that
A
C
:
C
B
=
3
:
1
AC:CB=3:1
Answers
Answer:
12.5
Step-by-step explanation:
7. Sketch the graph of f(x) = 2(x - 1.5)2 + 3, then state the domain and range of the function (show all your
work). (4 points)
8. Determine the value of a given that (7, 6) satisfies the quadratic function f(x) = a(x – 5)2 +6. (Show all your
work). (2 points)
Answers
9514 1404 393
Answer:
7. D: (-∞, ∞); R: [3, ∞); see attached for a graph (red)
8. a=0; see attached for a graph
Step-by-step explanation:
7. The function is a polynomial, so its domain is all real numbers.
The parabola opens upward. It has a minimum value of 3. The range is y ≥ 3.
__
8. Putting the given point coordinates in the equation, we can solve for a.
f(7) = 6
6 = a(7 -5)² +6
0 = a(2²)
0 = a
The value of a is zero.
(The given point has the same y-value as the vertex, but is not the vertex. The function can only go through that point if it is a horizontal line (not a parabola).) The attachment shows a graph.
The probability of an event under the uniform distribution - random permutations. A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Celia and Felicity. Give an expression for each of the probabilities below as a function of n. Simplify your final expression as much as possible so that your answer does not include any expressions of the form (ab)(ab).
(a) What is the probability that Celia is first in line?
(b) What is the probability that Celia is first in line and Felicity is last in line?
(c) What is the probability that Celia and Felicity are next to each other in the line?
Answers
Answer:
a)
the probability that Celia is first in line is 1/n.
b)
the probability that Celia is first in line and Felicity is last in line is 1/n(n-1)
c)
the probability that Celia and Felicity are next to each other in the line is 2/n
Step-by-step explanation:
Given the data in question;
a) Celia is first in line?
the total ways are; n! to place n kids in n places in orderly fashion.
now, if Celia is the first kid, we have to order remaining n-1 kids
(n-1)! / n! = 1/n
therefore, the required probability is 1/n.
b) Celia is first in line and Felicity is last in line?
the total ways are; n! to place n kids in n places in orderly fashion,
now, if Celia is the first and Felicity is the last kid, we order the remaining n - 2 kids, which can be done in (n-2)!
(n-2)! / n! = 1 / n(n-1)
therefore, the required probability is 1 / n(n-1)
c) Celia and Felicity are next to each other in the line
the total ways are; n! to place n kids in n places in orderly fashion,
now, if Celia and Felicity as single object, so that they can be put together, we arrange n-1 objects which can be done in (n-1)! ways.
But also these 2 can change the place so in total there are 2(n-1)! ways.
2(n-1)! / n! = 2/n
Therefore, the required probability is 2/n
A road crew much repave a road that is 4/5 miles long. They can repave 1/20 miles each hour. How long will it take the crew to repave the road? Write your answer in simplest form.
Answers
Answer:
16 hours
Step-by-step explanation:
Multiply the 4/5 by 4 to get the denominator as 20. So you do 4 x 4 which equals 16 and 5 x 4 which equals 20 so you get 16/20 miles or 16 hours.
The graph shows the relationship between the
cups of water and pounds of beef needed for a
beef casserole.
Poop
Answers
Answer:
Step-by-step explanation:
Garland put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week
Answers
Answer:
1st week deposit= 2b+3
2nd week deposit=2(2b+3)
3rd week deposit=4(2b+3)
Total deposit=2b+3+2(2b+3)+6(2b+3)
=9(2b+3)
=18b+27
18b+27=477
18b. =477-27=450
18b. =450
;
b=450/18=25
Therefore 2b+3=2(25)+3 =50+3=53
PLEASE GIVE BRAINLIEST
If diana spends 25 minutes running at the gym how many minutes does she spend lifting weight
Answers
Answer:
0
Step-by-step explanation:
The question doesn’t say that she lifted weights
If Diana spends 25 minutes running at the gym, then she spend lifting weight for 13 minutes.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
At the gym, Diana always spends more minutes running than lifting weights.
If r represents the number of minutes Diana runs and w represents the number of minutes Diana lifts weights, then, r must be greater than w.
Possible equations are,
12 + w = r
r - 12 = w
In both cases, r is greater than w.
If Diana spends 25 minutes running at the gym, r = 25.
w = r - 12 = 25 - 12 = 13
Hence the number of minutes that Diana spends lifting weights is 13 minutes.
Learn more about Equations here :
https://brainly.com/question/29657983
#SPJ3
Your question is incomplete. The complete question is as given below.
4) Find a solution to the following system of equations by graphing
X-y = 11
X-y = 5
!SHOW WORK PLEASE!
Answers
Answer:
No solution
Step-by-step explanation:
Given
[tex]x - y = 11[/tex]
[tex]x - y = 5[/tex]
Required
Solve by graph
See attachment for graph.
From the attachment, lines [tex]x - y = 11[/tex] and [tex]x - y = 5[/tex] do not intersect. This implies that, no solution exist
Simplify the expression 9+2y+3y squared -2y squared
Answers
Answer:
[tex]y^{2}[/tex] + 9
Step-by-step explanation:
To simplify, combine like terms:
3[tex]y^{2}[/tex] - 2[tex]y^{2} = y^{2}[/tex]
9 = 9
Set it up:
[tex]y^{2} + 9[/tex]
how much interest does $1,000 earn at an interest rate of 6% compounded semi annually? what is the balance after 2 years
Answers
Answer:
Interest = A - P = 1015 - 1000 = $15
Step-by-step explanation:
If 6 times a certain number is added to 8, the result is 32. Which of the following equations could be used to solve the problem? 6 x = 8 + 32 6 x+8 = 32 6 x= 32 61 X + 8) = 32
Answers
Answer:
6x + 8 = 32
6(x + 8) = 32
Step-by-step explanation:
Hope this helps
WILL GIVE BRAINLIEST
(x-2)(y-3)=0
with diagram plz
Answers
Answer:
x=2,y=3
Step-by-step explanation:
x-2=0
x=2
y-3=0
y=3
Which region indicates the intersection of the system 2x + 3y > 3 and y sx - 1?
Answers
Answer:
I think Region 1 is my answer, because the first equation is -1.1 and thats the closest point
Solve 5x÷6=20.
The solution is x=
Answers
First we will multiply both sides by 6 to cancel out the 6 on the left
5x = 120
We then divide by 5 on both sides to get x by itself
x = 24
5x=120
x=120/5
x=24
Answer is 24
Can you solve these trapezoid areas please?
Thank you
Answers
the first one is 3.15 and the second one is 630
Can someone PLEASE help me and will mark brainliest!!!
Answers
Answer:
True
Step-by-step explanation:
(2x)(4x) = 8x^2
CAN SOMBODY HELP ME IF YOU DO IT WRONG I WILL REPORT YOU BUT IF IT IS RIGHT I WILL GIVE YOU ALL MY POINTS AND BRINLY AND 5 STARS AND A THANKS BUT ALL I ASK IS THAT WHEN YOU ANSWER IT PLZZZZZZZZZ TELL ME HOW YOU DID IT I NEED TO NOW BECAUSE I NEED YOUR HELP
Answers
Answer:
D: 2:3
Step-by-step explanation:
She saw 2/5 mockingbirds
The remainder of birds she could see is 3
This means she saw 3 blue jays
The ratio is mockingbirds to blue jays, which is 2:3