The area of the composite figure is 1152 square meters
Complete QuestionA rectangular prism and 2 triangular prisms. The rectangular prism has a length of 20 meters, width of 6 meters, and height of 8 meters. The triangular prisms each have 2 triangular sides with a base of 6 meters and height of 8 meters. The rectangular sides are 20 meters by 6 meters, 20 meters by 10 meters, and 20 meters by 8 meters.
The composite figure shown is made up of 2 triangular prisms and one rectangular prism. If the area of each triangle base of the triangular prisms has an area of 24 m2, what is the total surface area of the composite figure?
How to determine the surface area?The given parameters are:
Rectangular prism :
Length = 20 meters; Width = 6 meters; Height = 8 meters
Triangular prism :
Triangular sides (2): Base = 6 meters; Height = 8 metersRectangular sides: 20 meters by 6 meters, 20 meters by 10 meters, and 20 meters by 8 meters.Base Area = 24 square meters:The area of the rectangular prism is:
Area = 2 * (Length * Width + Length * Height + Width * Height)
So, we have:
Area = 2 * (20 * 6 + 20 * 8 + 6 * 8)
Area = 656
The area of the triangular prism is:
Area = 2 * Base Area + Areas of Rectangular sides
So, we have:
Area = 2 * 24 + (20 * 6 + 20 * 10 + 20 * 8)
Area = 528
The common area between the prisms is:
Common area = 8 * 4
Common area = 32
Subtract the common area from the sum of the areas of the triangular prism and the rectangular prism to get the area of the composite figure
Composite figure = 656 + 528 - 32
Evaluate the sum
Composite figure = 1152
Hence, the area of the composite figure is 1152 square meters
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Answer: D, 1152 m2
Step-by-step explanation: I got it correct
Does the pair of ratios form a proportion?
85 , 42
18 9
Answer:
Not Proportional
Step-by-step explanation:
85:42 :: 18:9
85 x 9 = 42 x 18
765 = 776
They are not equal, so they cant be proportional.
a rental truck company charges $25 per day plus a fee of $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?
find the value of x. cos(67°) = 1/x
[tex]~~~~~\cos 67^{\circ} = \dfrac 1x\\\\\\\implies x = \dfrac 1{\cos 67^{\circ}}\\\\\\\implies x = 2.55[/tex]
A 5-pound bag of candy costs $13.05. What is the unit price?
Answer:
1.85 because: 9.25 divided by 5 equals 1.85
I hope I have helped you and if you like go to my profile that I also need a hand, thanks.
3. Don’s Clothing advertised a clothing sale. On the first day, all clothing was marked 1/10 off. On the second day, unsold items were marked 2/5, the third day, 3/10 off, and so on. If the markdowns continued this way, on which day were prices marked 4/5, or 80% off?
Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on : The Fourth Day
Meaning of advert and sale
An advert is a form of publicity or awareness done to increase sale or increase the purchase of goods from a company or organization. it makes the public aware of an offer made by an organization or company.
Sale is the exchange of goods or services for money. it is between the company or organization and the consumer.
In Conclusion, Don’s Clothing advertised a clothing sale and Following the markdowns, prices will be marked 4/5, or 80% off on The Fourth Day
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I don't know how to solve this question you can take a look at it in the attachment image.
The codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]
How to determine the codomain of the function?The equation of the function is given as:
[tex]g(x) = 2x^2 + 4x - 1[/tex]
The above function is a quadratic function and it has the following features:
Domain = [tex](-\infty, \infty)[/tex]
Range: [tex][-3, \infty)[/tex]
When the range and the domain are combined, we have:
[tex][-3, \infty)\ and\ (-\infty, \infty)[/tex]
This gives
[tex][-3, \infty[[/tex]
Hence, the codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]
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What is the square root of 1 x pi
Answer:
3.14159265359 or simplify it to 3.14...
Which ratio represents the number of vowels to total letters in the word JACKSONVILLE?
Step-by-step explanation:
4:12 there are four vowels and 12 letters?
and also this q plsss the deadline is tmrw i have no time
Problem 8
The box portion of the shed (ignoring the triangular roof) has a volume of:
length*width*height = 10*8*6.5 = 520 cubic feet
The triangular face on the right side has an area of base*height/2 = 8*2.5/2 = 10. Multiply this with the depth of the triangular prism and we get a volume of 10*10 = 100 cubic feet.
The two sub-volumes combine to 520+100 = 620
Answer: 620 cubic feet===========================================================
Problem 9
Let's find the area of the base
area = side*side = (4.2)*(4.2) = 17.64 sq inches
Then we plug that into the formula below, along with the height of the pyramid
V = volume of a pyramid
V = (1/3)*(area of the base)*(height)
V = (1/3)*(17.64)*(5)
V = 29.4
Answer: 29.4 cubic inchesYour teacher made a typo. She or he should have written [tex]\text{in}^3[/tex] instead of [tex]\text{in}^2[/tex]
Answer:
Okay so you basically need to break this shape into sensible pieces. Such as rectangular and triangular prisms.
first let's find the rectangular prisms' volume, we need to multiply 6.5 with 10 and 8.
6.5×10×8 gives us 520
520 is the volume of the rectangular prism (below the shape)
to find the triangular prism's volume follow these steps:
2.5×8×10×1/2 which gives us 100
now we need to take the sum of these
100+520=620
the answer is C good luck!
NEED HELP ASAP 45 POINTS
What sequence of transformations when applied to triangle HIG, shows that triangle HIG is similar to triangle H’I’G
Answer:
dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down
Step-by-step explanation:
The sides of the △ HIJ are:
IH = 6
IJ = 3
Applying the scale factor we obtain the sides of △ H'I'J '.
The scale factor is k = 1/3.
Therefore, we have:
I'H '= 2
I'J '= 1
Then, we move the △ H'I'J 2 units down.
help will mark Brainliest!!
PLEASE HELP!!!!!!
George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the volume of the tank is 300π cubic ft and its height is 10 ft.
What is the diameter of the tank? Round only your final answer to the nearest foot.
Answer:
12ft
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Explain step by step how
to estimate the square root
of 13 and show your work
A marketing company is interested in the proportion of people that will buy a particular product. Match the vocabulary word with its corresponding example.
Each of the statistical jargons will be matched to the corresponding meaning or similarity or example.
Matching word to the corresponding example?The corresponding example of the word can be matched as follows:
Population : All the people in the marketing company region.
In statistics, a population is a group of individuals from which are subject to study.
Sample: The 380 randomly selected people who are observed to see if they will buy the product.
A sample represents the group of interest from a population, this group represent the data.
Variable: The answer Yes or No to whether a person bought the product Variable in statistic are any number or quantity that can be measured.
Data: The list of the 380 Yes or No answers to whether the person bought the product.
Data are the figures that are collected, analysed, and summarized for interpretation.
Parameter: The proportion of all people in the company's region who buy the product
Statistics: The proportion of the 380 observed people who buy the product
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Select the correct answer.
A pizza restaurant starts the day with a certain amount of pizza dough. The length of time the dough will last varies inversely with the number of
medium pizzas made.
If they need to make 32 medium pizzas, the dough will last 5 hours. How long will the dough last if they need to make 40 pizzas?
OA 2.75 hours
OB. 4 hours
OC.
8 hours
OD. 6.25 hours
The length of time needed for the dough to last if 40 pizzas is required is 4 hours.
Inverse variationlet
length of time = lnumber of pizza = pl = k / p
where,
k = constant of proportionality
If l = 5 and p = 32
l = k / p
5 = k / 32
5 × 32 = k
160 = k
Find l when p = 40
l = k / p
l = 160/40
l = 4 hours
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What does 3+y3+z3= I can’t do it
Answer: 42 easy!
Step-by-step explanation: 42 hope this helps
Can somebody please help me with this
Answer: 3
Step-by-step explanation:
Lisa's test grades are 79, 89 and 90
b. There will be one more test this year. If Lisa wants her test average to at least be 88, what is the lowest grade she could get on her last test.
Answer:
94
Step-by-step explanation:
Equating the mean to the scores :
88 = 79 + 89 + 90 + x / 4352 = 258 + xx = 94So
Let that be n
n+79+89+90/4=88n+258/4=88n+258=352n=9417. A farmer sells com to a restaurant and a grocery store. One week, the farmer sells a combined
total of more than 120 bushels.
Which graph best represents the solution set for all possible combinations of x, the number of
bushels sold to the restaurant, and y, the number of bushels sold to the grocery store, for the
week?
The graph best represents the solution set for all possible combinations of x and sold to the grocery store, for the week is option D.
Which graph describes the possible combinations sold?
A graph can be described as a pictorial representation of data. The bushels of corn sold is greater than 120. Thus, the shaded area should be above the line and the line should be a straight line.
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Please help meeeeee!!!!
Answer:
the answer is 1
Step-by-step explanation:
you can type it in your scientific calculator and the answer will be 1
If a satellite can travel 200ft per second, how many hours will it take the satellite to travel 10,000 miles?
Let's examine what the problem gives us:
Distance ⇒ 10000 milesTime ⇒ 200 ftWhat does the problem want:
⇒ time (in hours)
Must find the relationship between distance, speed, and time:
⇒ Distance = Speed * Time
⇒ [tex]Time = \frac{Distance}{Speed}[/tex]
Let's convert some units:
We want the time in hours and distance in miles, but we have speed in feet per sec, and we want miles per hour⇒ let's convert
⇒ [tex]\frac{200_.ft}{1_.s}*\frac{3600_.s}{1_.hr}*\frac{1_.mi}{5280_.ft}=136.36_. mi/hr[/tex]
Now let's solve:
[tex]Time = \frac{Distance}{Speed}=\frac{10000_.mi}{136.36.mi/hr} =73.33_.hrs[/tex]
Answer: 73.33 hrs (estimated)
Here are four measurements.
20 cm, 1 m, 30 mm and 2.5 cm.
Order the measurements from
smallest to largest.
Answer:
30 mm, 2.5cm,20cm and 1m
Please help me do this question mathematics genius
The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
How to find the total differential of a multivariate function
In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:
[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex] (1)
If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:
[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]
Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)
The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
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I’m really confused on what the answer is supposed to be
Answer:
-4 < x < -2
Step-by-step explanation:
Taking the left part of the inequality :
8 > 4 - xx > -4Taking the right part of the inequality :
4 - x > 6-x > 2x < -2Solution :
-4 < x < -2Please help
A survey asked, "Do you support capital punishment?" Of the 800 Americans surveyed, 550 responded no. For a 90% level of confidence, find the margin of error associated with the poll. Write your answer as a percent rounded to the tenths place.
MOE = %
Answer:
10% maybe
Step-by-step explanation:
because 90% said no and 10% said yes
I hope it helps you
click on the picture and please help this is due in 1 hour!
Answer:
4.7 Pounds
Step-by-step explanation:
[tex]14 \div 3≈4.6[/tex]
(Note: This symbol (≈) that looks like a squiggled equal sign means an approximate amount)
Please Help!
Find tan x/2, given sin x = 3/5, with 90° < Θ < 180°
we know the angle is between 90° and 180°, 90° < θ < 180°, that means the angle is in the II Quadrant, where the sine is positive and the cosine is negative, with that info, let's find check a few things
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{3}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - 3^2}=a\implies \pm\sqrt{16}=a\implies \pm 4 = a\implies \stackrel{II~Quadrant}{-4=a} \\\\[-0.35em] ~\dotfill[/tex]
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{5}} \\\\\\ tan\left(\cfrac{\theta}{2}\right)\implies \cfrac{sin(\theta)}{1+cos(\theta)}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{1-\frac{4}{5}}\implies \cfrac{ ~~ \frac{3}{5} ~~ }{\frac{1}{5}}\implies \cfrac{3}{5}\cdot \cfrac{5}{1}\implies 3[/tex]
−11 ≤ −5; Add 16 to both sides
The resulting inequality is:
Answer:
True (-∞, ∞)
Step-by-step explanation:
−11 + 16 ≤ −5 + 16
5 ≤ 11
PLEASE HELP!! 35 POINTS!!!
ignore my writing if it’s wrong
Answer: sin(x)=5/11
Step-by-step explanation:
For #7, the hypotenuse is always the longest side of a triangle and in right triangles it's always the side that's opposite the right angle. MO, the side thats 11, is the hypotenuse in this triangle and not the adjacent side which would be NM. Therefore, you need to use sin=opp/hyp and get sin(x)=5/11
Simplify: (12j2)5(25j3)2.
Simplified
[tex](2^3\cdot3\cdot5^3j^5)[/tex]
Step-by-step explanation:
[tex](((12 \cdot (j2)) \cdot 5) \cdot 52j3) \cdot 2[/tex]
[tex](((22\cdot3j2) \cdot 5) \cdot 52j3) \cdot 2[/tex]
[tex]((22\cdot3\cdot5j2) \cdot 52j3) \cdot 2[/tex]
[tex]2^(^2^+^1^) = 2^3[/tex]
[tex](2^3\cdot3\cdot5^3j^5)[/tex]