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
PLEASE HELP I'M SOO CONFUSED AND IT'S DUE TODAY!!!!!!!!!!!!!...I HAVE A LOT OF WORK TO DO TODAY AND I JUST NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
2 Triangles with the bilateral of the sun to the 2nd power of pie
Step-by-step explanation:
I took the test ;)
It takes Diego of an hour to complete a lap on a circular bike track. The track is mile long. What is Diego's bike speed? 8 hours per mile 1/8 mile per hour 8 miles per hour 1/8 hours per mile
PLEASE HELP, I DON'T UNDERSTAND THE WORDING
Answers
Answer:
C. 8 miles per hour
Step-by-step explanation:
It takes Diego [tex]\frac{1}{8}[/tex] of an hour to complete the lap = [tex]\frac{1}{8}[/tex] x 1 hour = [tex]\frac{1}{8}[/tex] hour
Distance of the track = 1 mile long
The speed of an object expresses the ratio of distance moved to time taken to cover the distance.
i.e speed = [tex]\frac{distance}{time taken}[/tex]
= [tex]\frac{1}{\frac{1}{8} }[/tex]
= 8
Speed = 8 mile per hour
Therefore, Diego's bike has a speed of 8 miles per hour.
Help a dmb person out
You are renting a Porsche for the day. There is a daily fee of $50 and a charge of $0.50 per mile. Your budget allows a maximum total cost of $100. How many miles can you travel in the car on your budget?
Answers
Answer:
100 miles
Step-by-step explanation:
4+9= equals whattttttttt
Answers
Answer:
16
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Happy Tuesday
Kyle's car repair costs $1000. He has 2 coupons which could save him $80 off of $1000, or 15% off of $1000. EXPLAIN WHICH COUPON WOULD SAVE KYLE THE MOST MONEY AND SUPPORT YOUR THINKING WITH MATHEMATICS
Answers
Kyle would save more using his 15% off of $1000 coupon.
Explanation:
15 ÷ 100 • 1000 = 150
1000 - 150 = $850
$150 is the amount the 15% coupon took off.
$850 is the amount Kyle will pay.
vs.
1000 - 80 = $920
A random sample of 1000 people who signed a card saying they intend to quit smoking were contacted 9 months later. Turned out that 210 (21%) of the sampled individuals had not smoked in the past 6 months. What is the population, parameter, sample and statistic?
Answers
Answer:
Population is the total number of people that fall into the description of those that the research concerns.
In this case, Population is: Everyone who signed a card saying that they intend to quit smoking.
Sample. This is a subset of the population that the research is based on.
Sample = 1,000 people surveyed.
Parameter and Statistic are both descriptive measures but parameter is for the population and statistic is for the sample.
Parameter = Percentage of total population who have not smoked in 6 months.
Statistic = 21% of sample who have not smoked in 3 months.
Picture is below...........................
Answers
Answer:
C or A
thats all i know hope it helps
Find the perimeter of the figure.
8 m
12 m
10 m
9 m
29 m
Answers
Answer: the answer is going to be 64m hope this helped :)
Step-by-step explanation:
I NEED HELP ASAP, AND PLZ DONT SPAM
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the indices,
After applying the log rules we get the equation as,
===> 3-x = 1/2
===> x = 5/2
how to find cp if loss and sp are given
Answers
Step-by-step explanation:
[tex] \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }[/tex] !
When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :
✰ [tex] \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}[/tex]
[tex] \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: [/tex] ?
We simply derived the formula from Loss = CP - SP.
First , Swap the sides of the equation :
⟶ [tex] \text{CP - SP = Loss}[/tex]
Move SP to right hand side and change it's sign :
⟶[tex] \text{CP = Loss + SP}[/tex]
This is how , CP can be obtained when we are given loss and SP.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}[/tex] !!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Factor completely the given polynomial
x(x + 20) + 11(x + 20)
x(x + 20) + 11(x + 20)=
Answers
Answer:
(x + 20)(x + 11)
Step-by-step explanation:
x(x + 20) + 11(x + 20) =
Factor out the common factor of x + 20.
= (x + 20)(x + 11)
The binomials make it look complicated, but this is simpler than you think.
Look at this simpler, but similar, example.
Factor xy + 4y
xy + 4y =
You see clearly that y is a common factor, so you factor out y, and you get
= y(x + 4)
In your problem, you have
x(x + 20) + 11(x + 20) =
where (x + 20) is the common factor.
You factor out the common factor, (x + 20). What is left? x + 11 as a factor, so you get
(x + 20)(x + 11)
Please help what is the answer
Answers
A container of bread contains: 8 red beads, 6 yellow beads, and 6 green beads. A bread will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red is drawn?
Answers
david roller skates with a constant speed of 12kmh how far can he travel in 3 hours
Answers
Answer:
36
Step-by-step explanation:
12 x 3 =36
Answer:
36 kilometers or 22.4 miles
Step-by-step explanation:
12 kmh times 3 equals 36
Which one is it???????
Answers
Answer:
up 6
mayby
.........
Answer:
Left 6 is the answer
Step-by-step explanation:
You must move it in the left to be able to solve it
anyone elses gym teacher play its raining tacos like the whole gym class? lol just me?
The number 5/7 can be best described as a(n) _____.
mixed number
improper fraction
proper fraction
Answers
Answer:
proper fraction
Step-by-step explanation:
Nope just yours l.ma0.
i need help with the work and math
Answers
(x^2+3x^2-kx-24)÷(x+3) what's the value of k??
Answers
Answer:
-4
Step-by-step explanation:
since x+3 is a factor of the polynomial (x^2+3x^2-kx-24), then;
x+3 = 0
x = -3
Substitute x = -3 into the polynomial
x^2+3x^2-kx-24 = 0
(-3)^2+3(-3)^2-(-3)k-24 = 0
9 + 27 + 3k - 24 = 0
36-24 + 3k = 0
12 = -3k
k = -12/3
k = -4
Hence the value of k is -4
May you please help me with this question
Answers
Answer:
Row 2 Column 2: 1/25
Row 2 Column 3: 0.04
Row 3 Column 1: 75%
Row 3 Column 3: 0.75
Row 4 Column 1: 80%
Row 4 Column 2: 4/5
Answer:
4 as a fraction is 1/25 as a decimal 0.04
3/4 as a percentage is 75% as a decimal 0.75
0.8 as a fraction 4/5 and as a percentage is 80%
Step-by-step explanation
An empty rectangular tank measures 60 cm by 50 cm by 56 cm. It is being filled with water flowing from a tap at a rate of 8 liters per minute. How long will it take to fill up the tank? (1 liter = 1000 cm3)
Answers
Answer:
21 min
Step-by-step explanation:
V = lwh
V = 60(50)(56) = 168000 cu. cm
8 liters = 8000 cu cm
168000/8000 = 21 min.
help help help help help help ill give brainiest
Answers
Answer:
wowee,,, i hope these are right :,)
Step-by-step explanation:
5/3-x+1/3 : -3/2+2+1/2x
3/5-13/5 = 6.9+4.9
3x+0 = 3x
2x-3 = x-3+x
2x-6 = -6+2x
PLEASE HELP AND EXPLAIN YOUR ANSWER!
Answers
Answer:
24w - 16u + 48
Step-by-step explanation:
by distributive property you have to distribute the number on the outside to the number inside the parenthesis
Answer:
24w - 16u + 48
Step-by-step explanation:
Ok so,
to distribute means to multiply -8 with all of the numbers inside of the parentheses in order to get rid of it. So it should look like this.
-8 x -3w = 24w
-8 x +2u = -16u
-8 x -6 = 48
Now you just take all of the numbers and put them together which will be
24w - 16u + 48
TAADAA!!
hope this helps!!! have a good day!
Susan graphed a system of equations for the lines y = 3x + 1 and y = 3x - 10. Which statement is true about Susan's lines?
The lines intersect once at a right angle because they are perpendicular.
The lines intersect at all points because they are the same line.
The lines intersect three times because each has a slope of three.
The lines do not intersect because they are parallel and have different y-intercepts.
Answers
Answer: The lines do not intersect because they are parallel and have different y-intercepts.
Step-by-step explanation:
Giving brain list
tell whether the ratio is a proportion
Need work shown
Need 4,5,6,7,8
If u answer with a d*um* answer I will report u
Answers
Answer:
i believe it proportional
Step-by-step explanation:
pls no report me i did this stuff in 6th grade so i forgot :)
PLEASE HELP! GIVING POINTS :)!
Answers
Answer: 1 and 1/8 or 9/8
help lol i cant read the text, please tell me how u did it too <3
Answers
I can't read the text either, can you zoom in a bit?
this is a yes or no question... if a box has equal and opposite forces acting on it, will the box be accelerate??
Answers
Answer:
no
............................
Enter the correct answer in the box.
What is the standard form of function f?
[tex]f(x)=4(x+6)^2+5[/tex]
Substitute numerical values into the equation for a, b, and c.
[tex]f(x)=ax^{2} +bx+c[/tex]
Answers
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
Given
f(x) = 4(x + 6)² + 5 ← expand the factor using FOIL
= 4(x² + 12x + 36) + 5 ← distribute parenthesis by 4
= 4x² + 48x + 144 + 5 ← collect like terms
= 4x² + 48x + 149 ← in standard form
Answer:
Have a great rest of your day ;)
Step-by-step explanation:
15x=12x+15 whats the angle measures.
Answers
Answer:
x = 5 (please read the step by step explanation)
Step-by-step explanation:
So, I'm just going to solve for x because the instructions aren't too clear. I believe there is supposed to be an image attached to it, but seeing as I don't have that, I'll just solve for x and you can plug in with the values.
15x = 12x + 15
Same to both sides:
3x = 15
Isolate x:
x = 5
Just plug in those values and you'll be good to go! Have a good day!
Jaime has lunch at a restaurant and needs to determine how
much tip to leave based on his bill. If his bill was $14.41 and
Jaime wants to leave a 20% tip, what is a reasonable estimate
for how much he should leave?
Answers
Answer:
2.88
Step-by-step explanation:
