Answers
Answer:
Surface Area: 200.48 yd^2
Volume: 141.2 yd^3
Step-by-step explanation:
Rectangular Prism x1 = 148.48 yd^2
Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.
Triangular Prism x2 = 52 yd^2
Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.
Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.
Now we move on to volume, which is actually more simple.
Formula of Rectangular Prisms = length x width x height
Formula of Triangular Prisms = (length x width x height) / 2
Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3
Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2
Finally add the volumes together to get your final volume.
107.52 + 16.8 + 16.8 = 141.2 yd^3
Sorry if this is long xd
Related Questions
Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?
Answers
Answer:
Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour Option (B)
Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour
For each set of probabilities, determine whether the events A and B are independent or dependent.
Answers
Answer:
[tex]\fbox{\begin{minipage}{15em}a, d: A and B are not independent\\b, c: A and B are independent\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Apply the correct formula to check whether two events are independent or not
If the events A and B are independent, then:
P(A) x P(B) = P(A⋂B)
The formula of conditional probability:
P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)
Step 2: Perform the calculation
a)
P(A) x P(B) = (1/6) x (1/4) = 1/24
P(A⋂B) = P(A|B) x P(B) = (1/5) x (1/6) = 1/30
=> P(A) x P(B) is not equal to P(A⋂B)
=> A and B are not independent.
b)
P(A) x P(B) = (1/2) x (1/4) = 1/8
P(A⋂B) = 1/8
=> P(A) x P(B) is equal to P(A⋂B)
=> A and B are independent.
c)
P(A) x P(B) = (1/2) x (1/6) = 1/12
P(A⋂B) = P(A|B) x P(B) = (1/2) x (1/6) = 1/12
=> P(A) x P(B) is equal to P(A⋂B)
=> A and B are independent.
d)
P(A) x P(B) = (1/3) x (1/6) = 1/18
P(A⋂B) = P(B|A) x P(A) = (1/2) x (1/3) = 1/6
=> P(A) x P(B) is not equal to P(A⋂B)
=> A and B are not independent.
Hope this helps!
:)
the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places
Answers
Answer:
Step-by-step explanation:
First find all the sides of the triangle:
Total parts: 4+5+7 = 16
cm per part = 64/16 = 32/8 =4cm
therefore, all measures: 16cm, 20cm, 28cm.
Answer:
since you have not specified the height, I will use any no.
= 0.16
Step-by-step explanation:
perimeter is the distance round
add the ratios; 4+7+5=16
Ratio 16= Perimeter 64cm
R.16=64cm, find all the ratios
start with ratio 4
R.16=64cm
R.4×64cm÷16=16 cm
R.5×64÷16= 20 cm
R.7×64÷16=28 cm
A=1/2× b×h
1/2×16×20= A= 160cm2
2 dp, divide
0.16
HELP!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation
Cluster- a group of points that close together
symmetry- data is balanced on opposite sides of a point or line
spread- how close or far apart the values are in a data set
center- the middle of a data set
gap- a space between data values
Katie went out for dinner with her friends and left a 17% tip. If B represents the bill, an expression that represents the total bill she will pay is 0.83b
Answers
Answer:
1.17B
Step-by-step explanation:
Katie and her friends will pay 17% of the bill, B.
Therefore, we have to add 17% of B to B to find how much they will pay:
17/100 * B = 0.17B
Therefore, the total bill will be:
Bill + tip
= B + 0.17B = 1.17B
The expression that represents the total bill they will pay is 1.17B
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. How much was the error in his estimate? Error = (Approximate value) − (Exact value) -$175 -$25 $25 $175
Answers
Answer:
The error of his estimate was $25.
Step-by-step explanation:
The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:
[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]
The error of his estimate was $25.
Answer:
C
Step-by-step explanation:
i got itright
Martin rolls a 3 on a die. He rolls again and gets a 4. This situation describes
a simple event.
A. True
B. False
Answers
Answer:
B
Step-by-step explanation:
Rolling dice is simple, but it definitely isn't an event.
in a Gallup youth survey done in 2000, 501 randomly selected American teenagers were asked how well they get along with their parents. A survey result was that of 270 teenagers said they get along "very well" with their parents. Use this to estimate the proportion who would say they got along "very well" with their parents, including a margin of error.
Answers
The margin of error would be 1 / √n, where n is the number of students asked.
Margin of error = 1/√501 = 0.0446
Multiply by 100 to change to a percent:
0.446 x 100 = 4.46%
Rounding may be off slighly, so it looks like b would be the correct answer.
A nursery builds protective cylindrical covers, as shown, to protect seedlings from frost. The cover has a top, but no bottom. How many square feet of flexible plastic will be needed to build three dozen of the covers? The flexible plastic is sold by the square foot. the radius is 4 in and the height is 10 in
Answers
414.48 square feet is needed to make 3 dozen of the covers.
Step-by-step explanation:Step 1: Find the circumference, perimeter, of the circle.To find the circumference, you multiply the 4 by π, and π is 3.14, and you get 12.56.
Step 2: Find the area of the side, not including the circle.The 12.56 is literally the length of the side. The width is the height of the cover which is 10 inches. 12.56 multiplied by 10 is 125.6 square inches.
Step 3: Add them up.
125.6 + 12.56 is 138.16
Step 4: Multiply 138.16 by three dozen (36 [a dozen is 12]).138.16 multiplied by 36 is 4973.76 square inches.
Step 5: Convert 4973.76 square inches to square feet.12 inches is 1 foot so we divide 4973.76 by 12. You get 414.48 square feet.
Which of the following quadrilaterals have diagonals that bisect each other?
Check all that apply.
Answers
Answer:
All A. B. C. D.
Step-by-step explanation:
A B C D are all the correct answers
¯\_(ツ)_/¯
what is volume of cone that has a height of 6 inches, a radius of 3 inches, and a slant height of 6.7 inches
Answers
Answer:
V=56.52
Step-by-step explanation:
v=1/3(3.14)( r^2) (h)
V=1/3(3.14) (9)(6)
V=56.52
Answer:
The correct answer is 18π cubic inches
Step-by-step explanation:
I just took the test and I got the answer correct, I hope this will help you! :)
Connor and Matthew each live in a different city. Each Thursday for ten weeks, they recorded the high temperature. The data below is the high temperature, in Fahrenheit, that they recorded. Connor's data: 50, 51, 50, 66, 60, 66, 71, 70, 72, 65, and 70. Matthew's data: 72, 82, 76, 84, 77, 73, 70, 67, 67, 56, and 65. What is the range of temperatures in Connor's data?
Answers
Answer:
22
Step-by-step explanation:
Subtract the minimum data value from the maximum data value to find the data range.
Hope this helps,
plx give brainliest
Answer:
For Connor the range is 21
Subtract the highest to the lowest
[tex]71-50=21[/tex]
Hope this helps
If incorrect try 22 :)
What is the value of x? Round to the nearest tenth and show your work
Answers
Answer: A. mark as brainliest
Step-by-step explanation: dont need to
Judging from past basketball games, the probability that you make a free throw is 4/5. If you get 220 attempts this season, how many free throws can you expect to make?
Answers
Answer: 176 free throws
Step-by-step explanation: 4/5 = 80% 80% of 220 = 176
Lowe Senior High School’s hockey team won 12, lost 5, and tied 3 of their first 20 games this season. Which outcome is most likely for the team’s next game? Explain your reasoning. 30 points!!
Answers
A survey showed that the average daily expenditure ( in rupees) of 24 household of a city were 215 , 248 , 225, 237, 227, 240, 238, 215, 214, 249, 236, 244, 221, 219, 232, 216, 242, 220, (230, 238, 228, 225, 211,221. What is the frequency of the class interval 225 – 230 (EXCLUDING 230)
Answers
Answer:
The frequency of the class interval 225 – 230 is 4
Step-by-step explanation:
The frequency of the class interval can be seen as how many times that elements within the class interval appeared.
To do this we will have to count out all the numbers that are bigger than 225 but less than 230. These are the elements in this class (225 - 230).
They include:
225, 227 228, 225
Hence there are 4 elements in this class.
The frequency of the class interval 225 – 230 is 4
An angle in standard position crosses the unit circle at (0, - 1). Which could be the angle measures?
Answers
It could be 270, -90 in degrees
or if you're in radians it would be 3/2 pi or -1/2 pi
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answers
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
the circumference of a circle is 125.6m find its radius
Answers
Step-by-step explanation:
we have,
Circumference of Circle (C) = 2πr
or, 125.6 = 2πr
or, r = 125.6/2π
Ans: r = 19.9898 ~ 20 m
Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
[tex](4x-7)^2+16=40x-70 \\\\(p)^2+16=10(p) \\\\p^2-10p+16=0[/tex]
Hope this helps!
For the dilation with center (0, 0) shown on the graph, your friend says the scale factor is 4.
Is your friend correct or no? If he is incorrect, What is the correct scale factor? and what mistake did he likely make?
Answers
how can you use scientific notation to compare the mass of an electron to the mass of a proton
Answers
Answer:
explained below
Step-by-step explanation:
Because the electro has a smaller mass than the mass of the proton, scientific notation is usually used so that the numbers are on the same "scale" but if we see the scientific notation we may be able to identify which is greater and which is less, due to that the exponent is less the number is smaller and on the contrary if the number is greater, it is a larger number.
In the image I leave an example of the use of scientific notation in this area
Write a sequence with at least 5 terms that forms a pattern. Identify the rule.
please its due in an hour!!!!!!!!!!!!!
Answers
The pattern is attached in the image provided with the work.
I have started off listing 4 terms and then 3 blanks
so we can study the pattern and find the next few terms.
Here, notice that the difference between -5 and 1/2 and -5 is +1/2.
The difference between -5 and -4 and 1/2 is +1/2
and the difference between -4 and 1/2 and -4 is +1/2.
Continuing the same pattern, -4 + 1/2 will be equal to -3 and 1/2.
-3 and 1/2 + 1/2 will be equal -3
and -3 + 1/2 will be equal to -2 and 1/5.
y=p2 +gr
Find y when p=-5, q=3 and r=-7.
Write p in terms of q, r and y.
Answers
Answer:
4
p= √(y-qr)
Step-by-step explanation:
y=p² +qr
p= -5, q=3, r= -7
y= (-5)²+3*(-7)= 25- 21=4p²= y - qr
p= √(y-qr)
What is the simplified expression for the expression below? 4(x + 8) + 5(x – 3)Which expression is equivalent to 6(x – 4)
Answers
Answer:4x+32+5x-15
Step-by-step explanation: that’s the simplified equation, you would just have to distribute the 4 to its own equation and the 5 into its own equation.. but i think the second part of ur question is missing..
Answer:
C. 9x+17
Step-by-step explanation:
Which of the following is Tj length of GF given that figure DEFG is parallelogram?
Plz help
Answers
[tex]answer \\ = 12 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]
Help me quick please
Answers
Answer:
if i counted correctly its 15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Ok, so on this chart, each blue dot represents one person, so add up all the dots, and we get 15.
PLEASE HELP ASAP!!!
How is solving addition and subtraction equations similar to and different from solving multiplication and division equations?
Answers
Answer:
Here is what I think:
Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.
What is the domain of f(x) = 2|x − 1| + 3? A. {x | x ≥ 3} B. {x | x < 1} C. {x | x ≤ -1} D. {x | x = all real numbers}
Answers
Answer:
all real numbers
Step-by-step explanation:
f(x) = 2|x − 1| + 3
The domain is what values can we put in for x
There is no limit to what we can put in for x
therefore the domain is all real numbers
Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answers
Step-by-step explanation:
Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are 12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..
Answer: 6.9474 or 6.94736.
Please mark as Brainliest.
