Answers
Answer:
a) If the volume of the prism on the left is 1029 m³, then the volume of the prism on the right is 1536 m³.
b) If the height of the prism to the left is 14 m, the height of the prism to the right will be 16 m.
c) If the surface area of the prism to the left is 392 m², the surface area of the prism to the right will be 512 m².
Step-by-step explanation:
a) To solve, set up a proportion. Volume is three-dimensional, so we need to cube.
(7/8)³=1029/x
Now we can solve using cross products to get 1536.
If the volume of the prism on the left is 1029 m³, then the volume of the prism on the right is 1536 m³.
b) To solve the second one, we also set up a proportion. Height is one-dimensional, so we will not need exponents here.
7/8=14/x
Solve using cross products to get 16.
If the height of the prism to the left is 14 m, the height of the prism to the right will be 16 m.
c) Now we are solving for area, which is two-dimensional. Therefore, we will need to square.
7/8²=392/x
Solve using cross products to get 512.
If the surface area of the prism to the left is 392 m², the surface area of the prism to the right will be 512 m².
Hope this helps and good luck on your homework! For additional resources, check out The Maths Prof: Similarity parts 1-3.
Related Questions
Need help asap will give decent points
Answers
Answer:
The first yes, the second no.
Step-by-step explanation:
Proportional means they follow a constant proportion. In the first example, 1 hr is 4.5 ft, so the constant is 4.5, which means that everything in the top line multiplied by 4.5 should equal the bottom line. 2*4.5=9, 3*4.5=13.5, if you check it it all works out. But on the second problem, 2 hrs is 20 ft, which means that the constant should be 10, because 2/2 is 1 and 20/2 is 10, but 4*10 does not equal 30, it equals 40, so right off the bat we know it’s not proportional.
Use your knowledge of simulations to answer the questions below.
5. Eastside Middle School has 75% student participation in the fall carnival. Determine which of
the simulations below could model the probability of a student participating.
rolling a number cube, where rolling an odd number represents students who participate in
the fall carnival
spinning a spinner with the equal sections marked with the letters A-E, where spinning a
vowel represents students who participate in the fall carnival
spinning a spinner with four equal sections numbered 1-4, where spinning anything but 1
represents students who participate in the fall carnival
Answers
Answer:
5. Eastside Middle School has 75%
Step-by-step explanation:
A circular pool has a radius of 6 ft. What is the approximate circumference of the pool?
A. 19 ft
B. 38 ft
C. 113 ft
D. 452 ft
Answers
r = 6 ft. => C = 2π • 6 ≈ 37.7 ≈ 38 ft.
Answer: B 38 ft.
Answer: Option B. 38 ft
Step-by-step explanation:
To find the circumference of a circle, we use the formula C = 2πr, where C represents the circumference, r represents the radius of the circle, and π (pi) is a mathematical constant that is approximately equal to 3.14.
In this problem, we are given that the radius of the circular pool is 6 ft. We can substitute this value into the formula to find the circumference:
C = 2πr
C = 2π(6)
C ≈ 37.7 ft
Therefore, the approximate circumference of the pool is 37.7 feet. This is closest to answer choice B, which is 38 ft.
help me with this please and thank you
Answers
5+7=12
12*12=144
6+4=10
144+10=154
Use the table to determine the relationship between feet and inches.
Feet Inches
1 12
2 ?
3 ?
4 ?
Which of the following graphs matches the relationship shown in the table?
A. Y
B. W
C. Z
D. X
Answers
Answer: Y
Step-by-step explanation: because 1 x 12 is 12 and 2 x 12 is 24
Find the lateral area of a regular prism with height h if the base of the prism is a square with side 2 cm and h=125 mm
Answers
Answer: 100 cm^2
Step-by-step explanation:
explanation: V=Bh (volume = area of base x height)
area of base (2x2=4) is 4
height is 125mm
v=125x4
V=500mm^2
question is in picture
Answers
explanation: 45x32 divided by 60
I need this really quick
Answers
Answer:
4 3/8
Step-by-step explanation:
-2 1/2 * -1 3/4
-5/2 * -7/4
35/8
4 3/8
Hope this helps!
This is Due 2day, Help.
Evaluate 4.5(xy) - x/5 if x = 12 and y = 2/3. Write your answer as a MIXED NUMBER in SIMPLEST FORM.
Answers
Answer:
Step-by-step explanation:
Exact Form:
168/5
Decimal Form:
33.6
Mixed Number Form:
33 3/5
Use the table to write a linear function that relates y to x.
Answers
Answer:
The answer to the question provided is y = -2x - 7
help please:( (10 points only because I have 25)
Answers
explanation
Im offering 10 points
Answers
Answer:
138
I hope i was able to help u,if i was ,please mark me brainliest pls
Answer:
138. Steps are shown above.
Question is on Image
Answers
Answer:
1. 9
2. ≈28.27
3. 5.7
Step-by-step explanation:
1. radius * 2 = diameter (4.5*2=9)
2. 2*pi*radius
3. 2*pi*radius
i've been stuck on this page for a while..
so i'm almost done this assignment but i cant figure out why this graph is misleading cause it looks accurate to me
help
Answers
Answer:
See below.
Step-by-step explanation:
a) $81235 - $15405 = $65830
b)
1) The graph uses cubes to represent the amount of sales.
2) I wonder if the amount of sales is proportional to the length of the side of the cube or to the volume of the cube.
c)
Using a ruler, the Year 1 cube has side length 5 units.
Using the same ruler, the Year 5 cube has side length 18 units.
The volume of the Year 5 cube is 5832 units³. The volume of the Year 1 cube is 125 units³.
The ratio of the volumes of Year 5 cube to the Year 1 cube is
5832/125 = 47:1
The ratio of sales of Year 5 to Year 1 is
81235/15405 = 5:1
The sales of Year 5 are approximately 5 times the sales of Year 1, tbut the cube of Year 5 has approximately 47 times the volume of the cube of Year 1. The graph is misleading because the volumes of the cubes are not proportional to the amounts of sales.
d) 47 times in volume
PLSSSS HELLP MEEEE This is confusing to me and I am not good at this
Answers
Answer: 21.4 pounds
Step-by-step explanation:
To calculate the amount of weight that is made up of body fat, you need to multiply the weight by the body fat percentage.
Weight of body fat = 162 pounds x 13.2% = 21.384 pounds
Then, round it to the nearest tenth which is, 21.4
Therefore, approximately 21.4 pounds of the individual's weight is made up of body fat.
Answer: 21.4 lb
Step-by-step explanation:
The question is asking how much weight consists of body fat.
We know that 13.2% of the total weight is body fat, and the total weight is 162 pounds.
Multiply to find out the body fat weight.
Percentage as a decimal over 1 * 162
0.132 * 162 = 21.384 lb
Round to nearest tenth: 21.4 lb
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award? pls help due in five min
Answers
Answer:
21 Students
Step-by-step explanation:
Number of students earning the award = (15 / 100) x 140
Number of students earning the award = 0.15 x 140
Number of students earning the award = 21
Therefore, 21 of the 140 seventh-grade students earn the Presidential Physical Fitness Award.
A sandwich store charges $21 to have 3 turkey subs delivered and $27 to have 4 delivered. a. Is the relationship between number of turkey subs delivered and amount charged proportional? Explain how you know. b. How much does the store charge for 1 additional turkey sub? c. Describe a rule for determining how much the store charges based on the number of turkey subs delivered.
Answers
pls hepl 20 points given
Answers
Answer: For the first one its 52 inches The second one is 3,517
Step-by-step explanation: for the first one I converted 3 feet to inches then added that with 16 inches. For the second one I added 3,265 and 252 to make 3,517.
theta is a right angled triangle theta = tan-1(0.43) work out the value of theta give your answer to 1 decimal place
Answers
Answer: 23.3 deg
Step-by-step explanation:
if theta = tan-1(0.43), then theta is about 23.3
Answer:
23.3 deg
Step-by-step explanation:
Helppppp :((( im very lostt
Answers
Answer: Moving 4 units left
Step-by-step explanation: All you have to do is pick a point
keep the same y-coordinate. Subtract 4 from your x-coordinate.
Piper has $425.82 in her checking account. How much does she have in her account after she makes a deposit of $120.75 and a withdrawal of $185.90?
Answers
Answer: 360.67
Step-by-step explanation:
425.82 + 120.75 = 546.57
546.57 - 185.90 = 360.67
deposit = adding
withdrawal = subtraction
Answer:
$360.67
Step-by-step explanation:
Break it down:
Original: $425.82
Deposit: $120.75
Withdrawal: $185.90
What is a deposit?
A deposit is used in terms of money, and it's when you put money into your account/bank. We would use addition.
What is a withdrawal?
A withdrawal is also used in terms of money, and it's when you take money out. We would use subtraction.
Let's write an equation:
425.82+120.75
=546.57
546.57-185.90
=360.67
Piper will have $360.67 after her 2 transactions. Hope this helps! :)
Question 7!!
Total area = area of parallelogram + area of trapezoid
Answers
The total area of the figure by adding the areas of the parallelogram and trapezoid is 52 square feet
Calculating the total areafrom the question, we have the following parameters that can be used in our computation:
parallelogram and trapezoid
Wher we have
Area of parallelogram = 7 * (6 - 2)
Area of parallelogram = 28
Also, we have
Area of trapezoid = 1/2 * (7 + 5) * 4
Area of trapezoid = 24
So, we have
total area = 28 + 24
total area = 52
Hence, the total area is 52 square feet
Read more about area at
https://brainly.com/question/24487155
#SPJ1
Im offering 10 points
Answers
Answer:
Mean:39
Median:32.5
Range:62
Step-by-step explanation:
Again,brainliest pls
i need it lol
Answer:
The answers are:
Mean = 39
Median = 32.5
Range = 62
Step-by-step explanation:
If you have any questions please ask me! :)
On the coordinate plane, mark all points (x, y) that satisfy each rule. y = 3x − 2
Answers
Answer:
(-2,-8)
(-1,-5)
(0,-2)
(1,1)
(2,4)
Step-by-step explanation:
Start with y=0 for starters, make a graph, then plug in the equation 0=3x-2. Then you just multiple 0 by 3 and subtract to then bam, x=-2 and so on
Four friends decide to track the number of 3-point shots they make each day on the playground during recess. They each attempt the same number of shots. The results are in the data table.
Which statement is valid based on the data?
Answers
Odessa and Randall play a game in which the highest score wins. They record their scores and plot them on the dot plots, as shown.
Based on the data, which statement about Odessa's and Randall's scores is true?
A. Odessa is generally worse at the game than Randall because her median score is lower than Randall's median score.
B. Odessa is less consistent at the game than Randall because the variability of her scores is greater than the variability of Randall's scores.
C. Randall is generally better at the game than Odessa because his median score is higher than Odessa's median score.
D. Randall is more consistent at the game than Odessa because the variability of his scores is greater than the variability of Odessa's scores.
(I got confused on the answers because of some of the repeating words)
Answers
Answer: B. Odessa is less consistent at the game than Randall because the variability of her scores is greater than the variability of Randall's scores.
Step-by-step explanation: I summed up all of Randall's scores and got 410 and then I summed up all of Odessa's scores and got 660 so that means that Odessa's scores are bigger than Randall's scores.
The data on the dot plot shows that the B. Odessa is less consistent at the game than Randall because the variability of her scores is greater than the variability of Randall's scores.
What do the dot plots show ?Odessa's scores are more spread out and less consistent than Randall's scores. This could be due to a number of reasons, such as differences in skill level, luck, or consistency in performance.
Overall, a greater degree of variability in Odessa's scores compared to Randall's scores suggests that Odessa's performance in the game is less predictable and consistent than Randall's performance.
Find out more on dot plots at https://brainly.com/question/25957672
#SPJ1
Micah and Jason made a parallelogram-shaped stained glass windows. Micah's window has an area of 99 square inches. The height of Jason's window is 6 inches and its base is 15 inches. Apply a formula to find the area of Jason's window. Whose stain glass window has the greater area?
Answers
Micah window area= 88
For Jason you do h•b basically 6•15=90
Which is an greater value than Micah’s.
( h•b formula is for quadrilaterals just height times the base)
A desk is on sale for $208, which is 35% less than the regular price.
What is the regular price?
Answers
This is complicated pls help mean thank you
Answers
Part B - 45% of 25 is 11.25, meaning that the price David bought the item at was $11.25. Hope that helps!
Answer: $13.75
Step-by-step explanation:
A discount of 45% off = 100% - 45% = 55% of original price
Multiply the percentage by the regular price.
0.55 * 25 = 13.75
help me answer this. thank you
Answers
Answer:
662.91
Step-by-step explanation:
[tex]a = 8 \times 3 \times 24 + 4 \times (1 + \sqrt{2} ) \times {3}^{2} [/tex]
[tex]a = 662.91[/tex]