Answers
Given:
The right triangular prism.
Height of prism = 28 in.
Hypotenuse of base = 25 in.
leg of base = 24 in.
To find:
The lateral surface area of the prism.
Solution:
Pythagoras theorem:
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
Using Pythagoras theorem in the base triangle, we get
[tex]25^2=24^2+Base^2[/tex]
[tex]625-576=Base^2[/tex]
[tex]\sqrt{49}=Base[/tex]
[tex]7=Base[/tex]
The perimeter of the triangular base is:
[tex]P=7+25+24[/tex]
[tex]P=56[/tex]
Lateral area of a triangular prism is:
[tex]A=Ph[/tex]
Where, P is the perimeter of the triangular base and h is the height of the prism.
Putting [tex]P=56,h=28[/tex] in the above formula, we get
[tex]A=56(28)[/tex]
[tex]A=1568[/tex]
Therefore, the lateral area of the prism is 1568 in².
Related Questions
Amelia used 666 liters of gasoline to drive 484848 kilometers.
How many kilometers did Amelia drive per liter?
Answers
Answer:
728 km / lit
Step-by-step explanation:
kilometers per liter = kilometers / liters
k/l = 484848 / 666
kilometers per liter = 728
Answer: The answer is 8 kilometers
Step-by-step explanation:
khanacademy
define the term net income .. according to the given context
Answers
ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.
Can anyone explain how to do this, please?
Answers
A computer chip company finds the experimental probability of manufacturing a defective computer chip is 1/3 how many defective computer chips are likely to be in a batch of 735 computer chips
Answers
Answer:
There are 245 expected defective chips in the batch
Step-by-step explanation:
From the question, we have that in a batch of computer chips, it is expected that a third is defective
Now, in this present batch, there are 735 chips
The number of defective chips is a third of this
Thus, we have the number of defective chips as;
1/3 * 735 = 245 chips
The population of a town was 25,000 in the 2000 census and 30,000 in the 2010 census. By what percent did the population increase?
Answers
Answer: This means that the population increased a 20% between the year 2000 and the year 2010.
Step-by-step explanation:
In this case, we have that 25,000 is the 100%.
Now we want to know which percentage represents 30,000
Let's suppose that the percentage is X.
Then we can have a system of equations:
30,000 = X
25,000 = 100%
To find the value of X, we can take the quotient of these two equations:
30,000/25,000 = X/100%
(30,00/25,000)*100% = X = 120%
Then in the 2000 we had a 100%, and in the 2010 there was a 120%.
The difference is:
120% - 100% = 20%
This means that the population increased a 20% between the year 2000 and the year 2010.
The radius of a circle is 17.8 ft. Find the circumference to the nearest tenth.
Answers
???? Please help!!!!!!!
Answers
Answer:
It would probably be C
How to factorise equations such as 6x+18y, I have to do questions 4-9
Answers
Answer:
4) 6(x+3y)
5) 3b(a+c)
6) 6a(x−2y)
7) 6a(a−2)
8) 7x(x−4)
9) 5x(3x+5y)
Step-by-step explanation:
6x+18y
you find what goes into that number
for example 6 goes into 18, 3 times
so you can keep the 6
next you put the x and plus stays the same
as we said before 6 goes into 18, 3 times so we put the 3 and y next
so this is the equation
6(x+3y)
6 times x = 6x
6 times 3 = 18
y and plus stay the same
brackets shows that your timesing the numbers
i hope this makes sence tried my best not to waffle :)
It is 1/2 mile from a student's home to a store and back. In a week, she
walked to the store and back home 1 time. In the same week, she rode her
bike to the store and back 3 times. How many miles did she walk and ride
to the store and back in that week? *
Answers
Answer:
2 miles
Step-by-step explanation:
Given that :
Distance from home to store and back = 1/2 mile
In a week :
Number of times he walked from home to store and back = 1 time
Number of times she rode to store and back = 3 time
Note distance does not change whether she rode or walked:
Hence,
miles walked = 1/2 miles * 1 = 1/2 miles
Miles biked = 1/2 miles * 3 = 3/2 miles
Total Number of miles :
(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles
Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
119.816
Step-by-step explanation:
Given the data :
123.6, 225.1, 324.8, 422.9, 524.2
Mean absolute deviation (MAD) :
Σ|x - m| / n
m = mean = ΣX / n
n = same size = 5
m = 1620.6 / 5 = 324.12|
[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5
= 119.816
10) What is the value of x in the figure below?
Answers
Answer:
x=68
Step-by-step explanation:
let y equal the vertical angles
49+55+ y= 180
y=76
vertical angles are equal
35+76+x=180
x=68
pls I need your help in finding this math problem
Answers
9514 1404 393
Answer:
(a) 38.3 m horizontal distance
(b) 82.1 m high
Step-by-step explanation:
I like a graphical solution to this problem (attached).
__
If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.
tan(65°) = t/h
tan(40°) = (t -50)/h
__
Multiplying both equations by h and substituting for t, we have ...
h·tan(40°) = h·tan(65°) -50
h = 50/(tan(65°) -tan(40°)) . . . . solve for h
h ≈ 38.3022
Then the tower height is ...
t = h·tan(65°) ≈ 82.1394
The tower is about 38.3 m distant and 82.1 m high.
Mhanifa can you help this is due soon!!
Answers
Answer:
Question 1Given pentagon
Sum of interior angles:
S = (5 - 2)*180° = 540°Sum of exterior angles is same for any polygon:
360°Question 2Given hexagon
Sum of interior angles:
S = (6 - 2)*180° = 720°Sum of interior angles of a given hexagon:
x + 120° + 156° + 145° + x + 9° + 90° = 720°2x + 520° = 720°2x = 200°x = 100°What is the radius of the sphere?
Answers
Answer:
32/3 cubic
Step-by-step explanation:
D.32/3
32/3=32:2= D.8 units
In Exercises 21-26, a fair coin is tossed two times in succession.
The set of equally likely outcomes is {HH, HT, TH, TT). Find the
probability of getting
21. two heads.
22. two tails.
23. the same outcome on each toss.
24. different outcomes on each toss.
25. a head on the second toss.
26. at least one head.
Answers
Answer: I need more context
Step-by-step explanation:
I will give you BRAINLIEST for the correct answer
Answers
Answer:
If I got this wrong pls dont get mad but I think the answer 150
6(10+z+3) whats the answer i need help and also when someone texts you lol what would you say
Answers
= (6)(10 + z +3)
= (6)(10) + (6)(x) + (6)(3)
= 60 + 6x + 18
= 6x + 78
Bernard had 15 red notebooks, 17 blue notebooks and 19 white
notebooks. He gave some of them to Tom and had 5 left. How
many notebooks did Bernard give Tom?
Answers
Answer:
He gave 46 to Tom
Step-by-step explanation:
He started is 51 notebooks- 15 + 17 + 19 = 51
He then gave some away until he only had 5 left 51 - 5 = 46
He gave 46 to Tom
Help ASAP! Giving brainliest to whoever answers first!!!
Answers
explanation:
Counted after 65 and before 75
Answer:
9
Step-by-step explanation
66, 67, 68, 68, 70, 71, 71, 71, and 72
(=^w^=)
Seth owns a local ice cream parlor. He designed a new sign in the shape of an ice cream cone and cut it from plywood. He wants to attach LED lights around the PERIMETER of the sign. A diagram of the sign made from a TRIANGLE and a SEMICIRCLE is shown below. What is the length of LED lights he will need to span the PERIMETER of the sign?
Answers
Answer:2 feet i think?
Step-by-step explanation:
sorry need points
HELP ME!! I WILL MARK BRAINLIEST!!
Ez brainliest
Answers
Answer:
4) A) cuttings
5) B) pollinated
9) C) heredity
Step-by-step explanation:
Answer:
1) A.
2) B.
3) C.
I hope this helps.
Please mark me the Brainliest!
PLEASE HELP ME ITS DUEEE TODAYY!!!!!!!!!
Answers
height =h=16inch
Answer:
volume of cuboid =l×b×h
3840in³=20×12×h
h=3840/240=16inch
HELLPPPPPPPP PLS. What is the volume of the rectangular prism?
Type the answer in the boxes below.
NI
cm
Answers
Answer:
3.75 cm³
Step-by-step explanation:
Each cube has equal sides of 1/2 cm
Length of the rectangular prism = 1/2 cm * 5
= 2.5 cm
Width of the rectangular prism = 1/2 cm * 2
= 1 cm
Height of the rectangular prism = 1/2 cm × 3
= 1.5 cm
Volume of the rectangular prism = length × width × height
= 2.5 cm * 1 cm * 1.5 cm
= 3.75 cm³
Volume of the rectangular prism = 3.75 cm³
please help!! Which side lengths form a right triangle?
A 1, 2, 3
B 3, 4, 5
C 5, 6, 7
Answers
9514 1404 393
Answer:
B. 3, 4, 5
Step-by-step explanation:
The Pythagorean triple (3, 4, 5) is the only Pythagorean triple that is an arithmetic sequence. It is also the triple with the smallest integers. It is useful to remember this triple, as it is seen a lot in algebra, geometry, and trig problems.
__
Side length 1, 2, 3 do not form a triangle.
Side lengths 5, 6, 7 form an acute triangle.
Side lengths 3, 4, 5 form a right triangle.
Ishaan is 3 times as old as Christopher. He is also 14 years older than Christopher. How old is Christopher?
Answers
Answer:
He is 42 years old.
Step-by-step explanation:
3 x 14 = 42
The 3 is for how many times older Ishaan is.
The 14 is how many years older than Christopher Isahaan is.
If you need to find Isaahan's age, just multiply 2 x 14, which is 28.
Isahaan is 28 years old, and Christopher is 42 years old.
Glad I could help!
-Vibilities
are these complementary or supplementary or neither
Answers
neither
explanation:
they are vertical angles
Bruce spends 15% of his monthly budget on groceries. What is the decimal equivalent of 15%?
Answers
Answer:
0.15 no promble
Step-by-step explanation:
take the demical from behind and go forward 2 times
answer these questions please ill give brainliest if your aanswer is right
Answers
Question 1: C
Question 3: B
Question 4: C
I GIVE BRAINLIEST
please hurry im timed!
Answers
Answer:
my answer is C hope it helps in thank youfirst person to get it right gets brainliest