Answer:
Lateral areas have ratio of 4:1
Volumes have ratio of 8:1
Step-by-step explanation:
There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of [tex]a:b[/tex], the ratio of any surface area type measure is always [tex]a^2:b^2[/tex] this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of [tex]a^3:b^3\\[/tex].
Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of [tex]\frac{5\frac{1}{2} }{2\frac{3}{4} }[/tex] which if you simplify it, it is [tex]\frac{5.5}{2.75}[/tex], which is [tex]2[/tex]. The ratio of the heights are [tex]2:1[/tex].
Now we can apply those rules to this ratio, the ratio of lateral areas would then be [tex]2^2:1^2[/tex], which is [tex]4:1[/tex]. the ratio of volumes would be [tex]2^3:1^3[/tex], which is [tex]8:1[/tex]
A certain field is a rectangle with a perimeter of 818 feet. The length is 175 feet more than the width. Find the width and length of the rectangular field.
9514 1404 393
Answer:
width 117 feetlength 292 feetStep-by-step explanation:
Let w represent the width of the field. Then w+175 is its length. The perimeter is ...
P = 2(L+W)
818 = 2((w+175) +w) . . . . . fill in given values
818 = 4w +350 . . . . . . . . . simplify
468 = 4w . . . . . . . . . subtract 350
117 = w . . . . . . . . divide by 4
w+175 = 292 . . . . find the corresponding length
The width of the field is 117 feet; the length is 292 feet.
Part B What is the unit for Warren’s data?
This is due tommorrow at 12:44PM!!!!!!!!
Answer: The unit for Warren’s data is the number of cars sold each day.
Sorry for the answer being so late!
Helpppppppppp plsssssss
Answer:
1.05
Step-by-step explanation:
shop A: 2x3= 6
shop b: 5 for 1.10, 5 more for .55, so 1.65/10
1.65×3= 4.95
6-4.95= 1.05
OMG PLEASE PLEASE PLEASE HELP!!!! I NEED THISS DONE ASAP!! Pleaseeee giving brainlest!!
Answer:
triangular prism
Answer:
it will be triangular prism
Solve the equation 8x= 2/3 what does x stand for
Answer:
x=1/12
Step-by-step explanation:
Answer:
x = 1/12
Step-by-step explanation:
8x = 2/3
divide both sides of the equation by 8:
x = 2/24 = 1/12
The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples. Apple Cost Weight (lb) Total cost ($) 1 2 8 6 12 10 20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? 3 6 08
Answer:
8
Step-by-step explanation:
Is (9, 2) a solution to the system below?
x−4y=1, 2x−3y=3
1. Yes. (9, 2) is a solution to the system
2. No. (9, 2) is only a solution for the equation
3. No, (9, 2) is only a solution for the equation
4. No. (9, 2) is not a solution for either equation.
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Answer: Find the volume of cone, whose radius is 8 cm and height is 5 cm. Thus, the volume of the cone is 334.93 cm3.
Answer:
251.33cm^3
Step-by-step explanation: Use the formula V= π • (d/2)^2 • H
HOPEFULLY THIS HELPS
HELP ASAP! PLZZZZZZZZZZZZ
2 questions plz Both will be in the comments
what is 37.13 + 21.03 =
Answer:
58.16
Step-by-step explanation:
is the answer
easy question
7)
Given the function f(x) = 2x^3 - 18x^2 + 36x + 12, find f(2).
A)
f(2)= 20
B)
f(2) = 24
f(2)= 28
D)
f(2)= 32
Answer:
f(2) = 28
Step-by-step explanation:
f(2) = 2(2³) - 18(2²) + 36(2) + 12
= 2(8) - 18(4) + 72 + 12
= 16 - 72 + 72 + 12
= 16 + 12
= 28
A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?
Which number is a perfect cube?
A. 8
B. 9
C. 16
D. 25
8 is a perfect cube number. So, option A.) is correct.
A number is said to be a perfect cube if it can be multiplied by itself three times. X must equal [tex]y^3[/tex] if it is a perfect cube of Y. As a result, a natural integer, not a fraction, is obtained when we take the cube root of a perfect cube. Therefore, [tex]3\sqrt{x}[/tex] equals y.
Let, a be a integer number then for a number to be perfect cube
Number= [tex]a^3[/tex]..............................................where a is integer number
8= [tex]a^3[/tex]
So, a=2
9= [tex]a^3[/tex]
No, integer value exist, whose cube is 9.
16= [tex]a^3[/tex]
No, integer value exist, whose cube is 16.
25= [tex]a^3[/tex]
No, integer value exist, whose cube is 25.
Thus, 8 is a perfect cube number. So, option A.) is correct.
Learn more about cubes, here:
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About how many times larger is 7.9×10^4 than 2.1×10^3?
Answer:
37.619047619 times larger
Step-by-step explanation:
7.9 × 10000
79000
2.1 × 1000
2100
79000 > 2100
79000 ÷ 2100
37.619047619
Find the surface area, given that the area of each hexagon is 166 square feet.
Answer:
1148 square feet
Step-by-step explanation:
What is the range of the relation in the table below? у -2,0 -1,2 0,4 1,2 2,0
Answer:
6
Step-by-step explanation:
Range : hightest number - lowest number
4 - (-2)
IXL box plots for 6th grade
PLEASE HELP ASAP IM DIEING HERE
Answer:
IQR = 8
Step-by-step explanation:
IQR is the difference between the 3rd quartile (12 in this case) and the 1st quartile (4 in this case)
What is the area of the triangle?
Answer:
52
Step-by-step explanation:
Mrs Loke had 2920 buttons. She packed them into packets of 8 buttons. (a) How many packets of 8 buttons did she pack? (b) If she were to pack all her buttons into packets of 5 buttons, how many fewer packets of 8 buttons than 5 buttons would she get?
If you flip a fair coin 5 times, what is the probability that you will get exactly 2 tails?
Answer:
.81
Step-by-step explanation:
If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35
Answer:
I think its gonna be 35 I'm not sure
What is the radius and diameter of the following circle?
7 cm
Radius
cm
Diameter =
cm
PLZ ANSWER I REALLY NEED IT
A student is asked to simplify the given expression. The student's response demonstrates which common misconception?
Simplify: x^4/ x^4 Student's response: 0
A) add exponents when dividing B) dividing by zero is undefined C) subtract exponents when dividing D) a number raised to the zero power is equal to 0
Guys what will be the population in five years.
I don’t know what i did wrong please help
Answer:
4990
Step-by-step explanation:
Multiply 638 by 5 then add 1800 and that's your answer
Answer:
4990
Step-by-step explanation:
638 x 5 = 3190
There is already a population of 1800, so then you add 3190 and 1800 to get 4900. The reason you add these numbers is because the population grows by 638 every year. They want to know how much it will grow in 5 years. You you multiply n (number) by y (year) to get t ( total).
Hope this helps!
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4. What is the slope of the graph of x – 2y = 8?
Answer:
The slope is 1/2
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the slope m
Hope this helps:)
The ratio of the perimeters of two squares is 2:3. If the
area of the larger square is 324 square feet, what is the length, in feet, of the side of the smaller square?
Where the above ratio are given, the length of the side of the smaller square is approximately 14.7 feet.
How to compute the aboveThe area of a square is calculated by squaring the length of its side. Given that the area of the larger square is 324 square feet, we have:
(3/2)x² = 324
To solve for x, we can rearrange the equation and take the square root of both sides -
x² = (324 * 2) / 3
x² = 216
x ≈ √216
x ≈ 14.7
Hence , the length of the side of the smaller square is approximately 14.7 feet.
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Question 2 (02.03)
Figure TUVW is transformed to T’U’V’W’, as shown:
Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?
1. Reflection about the y-axis followed by a translation left by 2 units
2. Reflection about the x-axis followed by a translation left by 2 units
3. Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
4. Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
help what’s the total lol i’m confused
Answer:
45
Step-by-step explanation:
brainliest?
please help me i only have 30 mins to an hour to finish
Answer:
D. 105 students
Step-by-step explantation: 11+10+21+6+2=50. So, 21 times 250 is 5250 and divided by 50 is 105.