Answers
Given:
The figure of a triangular prism.
To find:
The surface area of the triangular prism.
Solution:
We know that, a triangular prism contains 2 congruent triangular surface and 3 rectangular surface.
Triangles have base 3 ft and height 2 ft.
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_1=\dfrac{1}{2}\times (3)\times (2)[/tex]
[tex]A_1=3[/tex]
Area of congruent triangles are congruent. So,
[tex]A_1=A_2=3\text{ sq. units}[/tex]
Now the three rectangular surface have dimensions 10 by 3, 10 by 3 and 10 by 3 because the triangles are equilateral and the length of the prism is 10 ft.
Area of a rectangle is
[tex]Area=Length\times width[/tex]
[tex]A_3=10\times 3[/tex]
[tex]A_3=30[/tex]
Dimensions of all three rectangles are same, therefore there areas are equal.
[tex]A_3=A_4=A_5=30[/tex]
Now, the total surface area of the prism is
[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]
[tex]A=3+3+30+30+30[/tex]
[tex]A=96[/tex]
Therefore, the total surface area of the prism is 96 sq. ft.
Related Questions
I need help on number 7
Answers
Answer:
y=2x+2 and increasing
Step-by-step explanation:
we see there is a pint (0,2) so the y intercept is 2, we know the slope is 2 because the slope formula can be used on ay two points, for example (0,2) and (1,4) 4-2 is 2 and 1-0 is 1. 2/1 =2 so the slope is 2
simplify this: (1/5^3)^4
Answers
Answer: The simplest form of (1/5^3)^4 is 1/244140625
Step-by-step explanation: Strange answer, huh?
2 Do the following calculations
a) 55,8965 + 12,443 x 3
b) (6 x 3) - 4 + 26 - 2
c) 44,65 = 3 x 11,11 + 68
d) 24 - 16 + 3 + 5 - 6 + 10 - 2
e) 15 = (2+2)
Answers
Answer:
a) 93,2255
b)38
c)false
d)18
e)false
A recipe requires 4 cups of flour to make 28 dinner rolls. How many cups of flour is needed to make 112 rolls?
Answers
Answer:
16 cups
Step-by-step explanation:
You have the ratio 4 cups = 28 dinner rolls. 28 * 4 = 112, so you know that if you multiply both sides of that equation by 4 you will get the number of cups of flout to make 28 dinner rolls:
4 cups = 28 dinner rolls
becomes
16 cups = 112 dinner rolls
so the answer is 16 cups
Answer:
16 cups of flour are needed to make 112 dinner rolls.
Step-by-step explanation:
28 divided by 4 is 7 which is the number of rolls for one cups of flour. Divide 112 by 7 and thats the amount of flour needed for 112 dinner rolls. You can also multiply 28 4 times since 4 can go into 16 when multiplied.
Please I need help
Write the equation for a parabola with a focus at (1,-4) and a directrix at x = 2.
X=?
Answers
Answer:
Step-by-step explanation:
The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.
For a left-opening parabola:
x = a(y-k)²+h,
a < 0,
vertex (h,k)
focal length p = 1/|4a|
focus (h-p, k)
directrix: x=h+p
Apply your data
focus (1,-4)
directrix x=2
vertex (1.5,-4).
focal length p = 0.5
a = -1/|4p| = -½
x = -½(y-2)²+ ½
How many degrees
in 1/20 of a full turn?
Answers
Answer:
18 degerees
Step-by-step explanation: i am 100% sure have a nice day.
pls help it for math
Answers
Hope it helps
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
Answers
Answer:
Yes, because when the values are substituted in, the equation becomes a true statement
Step-by-step explanation:
plug in the values for x and y and see if the equation makes sense
x=3
y=11
1/3(3)+11=12
1+11=12
12=12
Since the above equation is true, the point is a solution for the linear equation.
A shadow is cast by a pole. The angle of elevation from the end of the shadow to the top of
the pole is 35 degrees. If the distance from the base of the pole to the end of the shadow is 22
feet, how far is it from the end of the shadow to the top of the pole?
Answers
Answer:
13ft
Step-by-step explanation:
35-22=13
Factor the expression below.
x2 - 81
O A. (X-9)(x - 9)
O B. (x + 27)(x-3)
O C. (x-27)(x - 3)
O D. (x + 9)(x-9)
Answers
A computer store buys a computer system at a cost of $370.80. The selling price was first at $618 , but then the store advertised a 20% markdown on the system.
Answers
Answer:
The answer is 494.40 for the first question and then the second answer is 395.52
Step-by-step explanation:
Answer:
$494.40
Step-by-step explanation:
618 x 20% or .2 = $123.60.
$618 - $123.60= $494.40.
Hope this helps!
Jada’s dog was 5 1/2 inches tall when it was a puppy. Now her dog is 14 1/2 inches taller than that. How tall is Jada’s dog now as a fraction?
Answers
Answer: 20 or 20/20
Step-by-step explanation: It equals a whole number.
Answer:
20/20
Step-by-step explanation:
so there is 5 1/2, you can add 14 1/2, 14 plus five equals 19, but you also have to add the two halves, which in total gives you 20/20.
At midnight in Minnesota, the temperature was -59. Over the next three hours, the
temperature dropped 7. What was the temperature at 3:00 a.m.?
A-12
B-5°
C -2°
D 2
PLEASE HELP!!!
Answers
9514 1404 393
Answer:
A. -12°
Step-by-step explanation:
The final value is found by adding the change to the initial value.
final temp = initial temp + change in temp
final temp = -5° + (-7°) = (-5 -7)°
3 am temp = -12°
Answer:
A
Step-by-step explanation:
1. Write the equation: -5-7. We get that equation because we start at -5 and then it drops 7 degrees. "dropped" is the keyword that tells us to subtract.
2. Solve the equation: -12 degrees. You can solve it very easily by plugging it into a calculator or mentally.
P.S: You typed the question wrong, you said 56 degrees instead of 5. That really had me stumbled lol.
mean median mode and range,4,8,6,4,4,1,1
Answers
median: 4 [1 1 4 4 4 6 8 the number in the middle is 4
mode: 4 [ there are 3 fours which is the most out of all the numbers]
range: 7 [8-1=7]
The pair of figures is similar. Use proportions to find the value of each variable.
Answers
You are raising money by holding a bake sale at school. You have a budget of $100 to set up the bake sale. You provide volunteers with $40 of materials. Each table that you plan to rent costs a flat rate of $10. How many tables can you rent?
Answers
Answer:
6 Tables
Step-by-step explanation:
100 = 10x + 40
60 = 10x
6 = x
good luck, hope this helps :)
6 tables
100-40=60
each table = 10
60 divided by 10=6
I need help with this please :(
Answers
Answer:
b
Step-by-step explanation:
b= luck
Other option
D: 15.7
Answers
Answer:
I see a typo in the problem. When it says LR. This triangle isn't in the direction of L its the opposite direction. I think the answer might be C but im not completely sure.
Step-by-step explanation:
Big Brain
Answer this to be Donkey Kong's friend
Answers
36x + 324 - 28x + 196
combine like terms: 36x - 28x = 8x and 324 + 196 = 520
8x+520
why do the angles in a triangle add up to 180 degrees?
Answers
Answer:
Angles in a triangle add up to 180 degrees because triangles are have the measure and sizes of quadrilaterals, which have an angle measure of 360 degrees. If you divide 360 degrees by 2, you will get 180 degrees.
Step-by-step explanation:
Hope that helps!
Answer:
Let N equal the number of angles in the polygon
Use the formula:
(N x 180)-360 = the sum of all the angles in the polygon
A triangle has 3 angles so:
(3 x 180)-360=180 degrees
(this formula works for any polygon, regardless of the number of it's angles)
what is 26.02-5.348=??????
Answers
Answer:
20.672
Step-by-step explanation:
26.02 - 5.348= 20.672
that's what I got... hopefully I got what your looking for.. :D
z > 34. Which of the following statements is the best way to describe the value of z?
A. The value of z is less than 34.
B. The value of z is more than 34.
C. The value of z has a maximum of 34.
D. The value of z has a minimum of 34.
Answers
Answer:
B
Step-by-step explanation:
The open end is always going to be by the larger number.
Answer:
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
HAHAHA
Step-by-step explanation:
Find angle a.
You will get 20 points
Answers
Answer:
127
Step-by-step explanation:
15+38+a=180
a= 127
a=180-53
a=127
hope this helps !
6m+17-13+5n combine like terms
Answers
Answer:
hmmmm bilmim weantremlo ?
Step-by-step explanation:
= 6m +5n + 4
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you and plzzz.
Solve for w.
-4(w+1) = -24
Answers
Answer:
w=5
Step-by-step explanation:
The selling price of an item is $600. It is marked down by 30%, but this sale price is still marked up
from the cost of $350. Find the markup from cost to sale price.
The markup is $ (Round to the nearest dollar as needed.)
Answers
Answer:
7000
Step-by-step explanation:
divide 600 and 30 then multiply that answer by 350
Answer:
Correct answer is 70 trust me
Step-by-step explanation:
The graph shows your elevation during a run. Which statement is true about your run?
A- You were running uphill for the first 15 minutes.
B- You were running uphill between 10 and 20 minutes into the run.
C- You were running downhill for the last 10 minutea.
D- You were running downhill the first 15 minutes.
Answers
Answer:
Its D. You were running downhill the first 15 minutes.
Rashid can do a piece of work in 8 days, which Tipu can finish in 12 days. If they work on alternate days with Rashid Beginning, in how many days, the work will be finished?
Answers
Answer: 9.6 days
Step-by-step explanation:
Rashid can do a piece of work in 8 days. Rashid work rate will then be:
= 1/8 owe day.
Tipu can finish in 12 days. Tipu's work rate will be: = 1/12 owe day.
Their work rate together will then be:
= 1/8 + 1/12
= 3/24 + 2/24
= 5/24
From the calculation, together they will finish the work in:
= 1 ÷ 5/24
= 1 × 24/5
= 24/5 days
= 4.8 days
Busy since they are working on alternate days, then this will be multiplied by 2 which will be:
= 4.8 × 2
= 9.6 days
Plllzzzzz help quick
Answers
Answer:
also click the first choice. It has 10 sides.
Step-by-step explanation:
1440=(N-180)-360
N-180=1080
n=10 sides
Answer: The answers would be A
Step-by-step explanation- The sum of all angles in a decagon will always equal 1440 degrees. That is all. Plz mark brainliest?
Mark is reading a book with 96 pages. It takes him 4 days to read the book. He reads the same number of pages each day. How many pages does Mark read each day?
Answers
24
Step-by-step explanation:
he reads 24 pages a day
Answer:
24 pages per day
Step-by-step explanation:
Mark has a 96-paged book. It takes him 4 days to read the book.
[tex]\frac{pages}{day}=\frac{96}{4}= \frac{96/4}{4/4}= \frac{24}{1}=\boxed{24}[/tex]
Mark would read 24 pages per day.
Hope this helps.