Answers
Answer:
Surface area of the right triangular prism = 180 m²
Step-by-step explanation:
Surface area of the given right triangular prism = Surface area of triangular sides + Surface area of the rectangular surfaces
Surface area of the triangular sides = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(AC)[/tex]
By applying Pythagoras theorem in ΔABC,
BC² = AB² + AC²
(13)² = 5² + (AC)²
AC² = 169 - 25
AC = 12 m
Therefore, area of the triangular sides = [tex]\frac{1}{2}(5)(12)[/tex] = 30 m²
Area of the rectangular side with dimensions 5m × 4m,
= 5 × 4
= 20 m²
Area of the rectangular side with dimensions 13m × 4m
= 13 × 4
= 52 m²
Area of the rectangular side with dimensions 12m × 4m
= 12 × 4
= 48 m²
Total surface area of the prism = 2(30) + 20 + 52 + 48
= 180 m²
Related Questions
Need helppp with this
Answers
Answer:
fhted ghtf. hyrdvhurf gjyev vr htrevhuwf ngttgnm
Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
8000+
7000
6000
5000 -
Elevation (meters)
4000
3000
2000
1000
200
400
1600
an 00 1009 1200 1400
Time seconds)
Will mark brainiest
Answers
Given
mZAOC = 104°
mZAOB = 7x + 30°
mZBOC = 9x + 42°
Find mZBOC:
Answers
Answer:
The answer is 60°
Step-by-step explanation:
From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.
We also know that mZAOC is 104°
This means that the two other angles have to make up 104°
To figure out mZBOC,
First, you can subtract 30 and 42 from 104.
We do this because it allows us to focus on the variables.
104-30-42=32
Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.
7(2)+9(2)=32
Now that we know what x equals we can substitute it into the equation for mZBOC.
9x + 42°
9(2) + 42°
60°
Thus, mZBOC equals 60°
what is 3.333 divide by 10
Answers
Answer:
0.3333
____________
Write an
explicit formula for An, the nth term of the sequence 9, 16, 23, ....
Answers
Answer:
2+7n
Step-by-step explanation:
)
The perimeter of a rectangle must be no
greater than 70 meters. The width must be 13
meters. Find the greatest possible value for the
length of the rectangle.
Answers
Answer:
length equals to 22 bcoz the width is 13*2=26 and than u do 70 minus 26 to get 44 than divide by 2 to get the length 22
In 2016, Stare A produced 600 million pounds more apples that State B. Together, the two states produced 1600 million pounds of apples. Fine the amount of apples grown in State A and State B in 2016.
Answers
Answer:
800
Step-by-step explanation:
The Answer Is 8,000,000 Because
8×2 16 so 8,000,000 × 2=16,000,000
Enter numbers in figures to complete the passage below.
Give all values in pounds and pence, e.g. £3.50 not £3.5
SALE
Taal buys a jacket in the sale.
It has 15% off and he pays £42.50.
The original price of the jacket was £
He saved £
Answers
Answer:
£50 ; £7.50
Step-by-step explanation:
Given that:
Discount on sale, d = 15%
Amount paid = £42.50
Hence the relation to obtain the amount paid goes thus ;
Amount paid = (1 - d) * original amount
Let original amount = x
42.50 = (1 - 0.15)x
42.50 = 0.85x
x = 42.50 / 0.85
x = £50
Amount saved :
£(50 - 42.50) = £7.50
Solve the problem:
Kiram has 5 ziploc bags. He puts an equal number of marbles (X). Then he realized that he
needed to add 2 more marbles for each bag. If the total number of marbles is 30 how many
marbles in each bag?
Answers
Answer:
Step-by-step explanation:
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Find LR, given kite FLRD with diagonals intersecting at A and FA = 4, AR = 12, LA = 5
Answers
Answer:
LR = 13
Step-by-step explanation:
LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side
LA = 5
AR = 12
5² + 12² = LR²
LR² = 25 + 144
LR² = 169
LR = √169 = 13
can someone help me on this. i dont understand it at ALL. please du~mb it down beacuase i am not smart at all.
Answers
Answer:
So basically you have to create a set of coordinates like (3,2) to create a linear function. Make sure to make a linear equation and represent it through a graph or table. Then take its coordinates.
An example is the table I attached. It is a linear function.
y = 4x is the linear equation.
(2,8) is the coordinate.
Hope I helped in time!
:)
Can someone please help and explain? Will give brainliest to most helpful
Answers
Answer:
x = 44
y = 22
Step-by-step explanation:
✔️Find x:
Reference angle = 60°
Hypotenuse = x
Opposite side length = 22√3
Applying the trigonometric FUNCTION, SOH, we have:
Sin 60 = opp/hyp
Sin 60 = (22√3)/x
x × Sin 60 = 22√3
x = (22√3)/Sin 60
x = (22√3)/(√3/2) (sin 60 = √3/2)
x = 22√3 × 2/√3
x = (22√3 × 2) / √3
x = (44√3) / √3
x = 44
✔️Find y:
Reference angle = 60°
Hypotenuse = x = 44
Adjacent length = y
Applying CAH, we have:
Cos 60 = adj/hyp
Cos 60 = y/44
44 × Cos 60 = y
44 × ½ = y (cos 60 = ½)
22 = y
y = 22
Answer:
x=44,y=22
Step-by-step explanation:
sin 60=22√3/x
x=22√3/sin60=44
sin30=y/x
y=sin30×44=22
Find the value of each variable in the parallelogram
Answers
9514 1404 393
Answer:
k = 7
m = 8
Step-by-step explanation:
The diagonals bisect each other, so each half is equal to the opposite half.
k +4 = 11 . . . . down-sloping diagonal
k = 7
__
m = 8 . . . . up-sloping diagonal
Answer plz and ty. i'll give you brainlist if you can give a short explanation. if you put a not so nice or relevent answer i will do the same to you....
Answers
Answer:
C.
Step-by-step explanation:
4000x3.2% =128
128÷12=10.6666666667
10.6666666667x8 months =85.3333333336 so round to 85.33
85.33+4000= 4085.33
In which of the following cases would you most likely buy a point when closing on a home loan? The monthly payment is reduced by $8 and you plan to sell the home at the end of 3 years. b. The monthly payment is reduced by $10 and you plan to sell the home at the end of 4 years. The monthly payment is reduced by $12 and you plan to sell the home at the end of 5 years. d. The monthly payment is reduced by $14 and you plan to sell the home at the end of 7 years. Please select the best answer.
Answers
Answer:
D.
Step-by-step explanation:
Expand the polynomial and simplify: 12a^2-4(1-2a)^2+8
Answers
Answer:
-4a² + 16a + 4Step-by-step explanation:
Simplify:
12a² - 4(1 - 2a)² + 8 = ⇒ expand12a² - 4( 1 - 4a + 4a²) + 8 = ⇒ open parenthesis12a² - 4 + 16a - 16a² + 8 = ⇒ collect like terms(12- 16)a² + 16a + (8 - 4) = ⇒ simplify-4a² + 16a + 4 ⇒ answerAnswer:
-4a² + 16a + 4
Step-by-step explanation:
Have a good day
The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate exterior angles? Choose all that apply. Please help PT.3
A. Angle A and Angle G
B. Angle B and Angle H
C. Angle B and Angle F
D. Angle B and Angle G
E. Angle H and Angle A
F. Angle E and Angle D
Answers
Answer:
D and E
Step-by-step explanation:
Answer: d and e!
Step-by-step explanation:
:)
The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. What was the difference between seventh and eighth grade enrollment in 2008?
Answers
Answer:
20
Step-by-step explanation:
Answer:
You answer is 20, Blessings :]
Step-by-step explanation:
i know an isosceles triangle has 2 congruent (equal) sides but does it have any equal angles?
Answers
Answer:
Step-by-step explanation:
To have two equal sides there must also be two equal angles.
Cassie hit a golf ball. The function f models the height of the ball above the ground (in meters) as a
function of time (in seconds) after Cassie hit it.
MARK BRAINLIEST
Answers
Answer:
your answer will be (0,25)
Step-by-step explanation:
have a nice day and good luck with your test ^_^
The point that corresponds to the ball's maximum height on the graph is (4, 80).
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
Cassie hit a golf ball.
The function f models the height of the ball above the ground (in meters) as a function of time (in seconds) after Cassie hit it.
We can see from the graph that the highest point the ball could reach is 80 units.
Therefore, The point that corresponds to the ball's maximum height is (4, 80).
Learn more about points lying on the graph of a function here:
brainly.com/question/1979522
#SPJ2
whats the answer to m=18+12
Answers
Answer:
m = 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
10 + 10 = 20
8 + 2 = 10
20 + 10 = 30
22 matchboxes are packed in a carton. How many cartons will
be needed to pack 682 such matchboxes?
Answers
Answer:
31
Step-by-step explanation:
682 ÷ 22 = 31 That's the solution
please help me 80% of what number is 16
What is the part?
What is the total?
What is the percent?
What is the answer?
Answers
Answer:
80 percent of 16 is 12.8 I'm sorry but that's all I know
pls help i have a d in algebra
If x - 3 = 1, then what is the value of x^2 - 3x - 1
A. 1/12
B. 1/9
C. 3
D. 9
Answers
RADICALS
NEED HELP ASAP PLEASE!!!
Answers
Answer:
[tex]\sqrt[3]{64} = 4[/tex] [tex]\sqrt{64} = 8[/tex]
Step-by-step explanation:
I need help asap !!! please show how you did the work please please
Answers
Hiromi spends 100 minutes on a research project. Al spends 1/2 of the time Hiromi spent on his research project. How many hours did Hiromi and Al spend on their research projects altogether?
(Mixed number and fraction)
Answers
Answer:
Step-by-step explanation:
Check the month and dollar value that represent a correct ordered pair.
In April Cathy's Clothmart had a profit of $3,000. In May the profit was $4,000 dollars. In June the profit was $5,000.
$2,000,
July,
$4,000,
April,
May,
$1,000,
June,
$6,000,
Answers
Answer: $1,000.
Step-by-step explanation:
You would add $1,000 for each month you're trying to save. y=1000x
Solve for the unknowns.
a, b , c ,d
Answers
Answer:
can u plz make a good picture to solve I can't see good
Step-by-step explanation:
and thanks
RADICLES
Simplify square root 98
NEEDD HELP ASAP PLEASE!!!!
Answers
Answer:
your answer is D
Step-by-step explanation: