Ron and Freddy built structures out of snap cubes. Ron's tower had an 8-inch square base. Freddy had a 6-inch square base. If Ron's tower had a volume of 320 cubic inches and Freddy's had a volume of 180 cubic inches, Whose tower was taller? Explain your reasoning.

Answers

Answer 1

Answer: Ron tower's

Step-by-step explanation:

Given

Ron tower has a base of [tex]A_r=8\ in.^2[/tex]

Freddy tower has a base of [tex]A_f=6\ in.^2[/tex]

Suppose the tower is in the shape of a square prism

The volume of Ron and Freddy tower is [tex]320\ \text{and}\ 180\ in.^3[/tex]

The volume of a square-based prism is  [tex]V=\frac{1}{3}a^2h[/tex]

[tex]\therefore \text{height of Ron tower is}\ h_r=\dfrac{3V}{A_r}\\\\\Rightarrow h_r=\dfrac{3\times 320}{8}=120\ in.[/tex]

The height of Freddy tower is

[tex]\Rightarrow h_f=\dfrac{3V}{A_f}\\\\\Rightarrow h_f=\dfrac{3\times 180}{6}=90\ in.[/tex]

Thus, the height of Ron's tower is  more than Freddy's tower by [tex]30\ in.[/tex]


Related Questions

Plz plz plz helpppppplllpl​

Answers

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

What is the value of x?
0 12
O 10
06
08

Answers

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

What is a Pentagon?

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

#SPJ7

How many roots does y=3x^2+8 have?

Answers

Answer:

This quadratic has two unequal, imaginary roots.

Step-by-step explanation:

y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots.  In this case they happen to be different (unequal), as well as imaginary.

Setting y = 3x^2 + 8 = 0, we get:

3x^2 = -8, or

x^2 = -8/3

Taking the square root of both sides, we get

x = ±i√(8/3) (2 imaginary roots)

What is the solution to the following system of linear equations?
Y=-31-9
2x + 3y = -13

A. (-3,-2)
B. (-3,0)
C. (2,3)
D. (-2,-3)

Answers

Answer:

x=107/2, y=-40. (107/2, -40).

Step-by-step explanation:

y=-31-9=-40

2x+3(-40)=-13

2x-120=-13

2x=-13+120

2x=107

x=107/2

PLEASE HELP

Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.

Answers

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

Help me with this!!!!

Answers

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

Spoints
Aregular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the new hexagon is 0.4 times the perimeter of
the original hexagon
O True
False

Answers

Answer:

True.

Step-by-step explanation:

It is given that, a regular hexagon is dilated by a scale factor of 0.4 to make image.

It means, the perimeter of image is 0.4 times the perimeter of the original hexagon.

For example,

Let's take the rectangle with length of 12 and width of 4, it's perimeter is 12+12+4+4 =32

Let's find image using scale factor 0.4, we get

length =0.4(12)= 4.8

width =0.4(4)=1.6

So, perimeter of image = 4.8+4.8+1.6+1.6=12.8

If we compare the perimeters

0.4(32)=12.8.

So, it is true.

Someone help, I don't understand what trig ratio to use, or how to get the answer to w or x

Answers

Answer:

Uhm I think you need to like times the 10 to the 56? erm yeaaaaaaa SOrry if you get it wrong

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

56*10= 560

34+56= 90

90*10= 900

X is about 2 times the size of W so it would be

1:2 (W:X)

I think i am right, i may be wrong i haven't exactly learned this yet, i am just going off by what i know. sorry if i am wrong

Write an equation in point-slope form of the line that passes through (-1,-4) with slope -2.

Answers

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

Giving brainliest!!!Please help.. :(

Select the statement that describes this expression: 5 x (3 + 4) − 4.

A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4

Answers

A is the answer 5 times the sum of 3 and 4 then subtract 4

Answer:

A

Step-by-step explanation:

A the anser is A deal with it...

Please help me complete it PLEASE ASAP!!!!!!!!!

Answers

1= 12.5
2= 25
3= 37.5
4=50
5= 62.5

1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x

Answers

The answer is y=5^x. Good luck bud!

I need help fast!!!!!!

Answers

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

Guthrie made the input-output table shown below.
Input (x)
1
2
3
Output (v)
4
7
10
13
4
Which of the following equations is true for all values in Guthrie's input-output table?
AI +3 = y
B :+7=y
C 3x+1=y
D) 4.1 - 1=y

Answers

9514 1404 393

Answer:

  C  3x +1 = y

Step-by-step explanation:

x-values increase by 1 from row to row.

y-values increase by 3 from row to row.

The slope of the linear function is the ratio of the y-increase to the x-increase:

  m = ∆y/∆x = 3/1 = 3

The only offered choice with an x-coefficient of 3 is ...

  C  3x +1 = y

__

If you check this against the table entries, you find it fits.

  3(1) +1 = 4

  3(2) +1 = 7

and so on.

20 large plastic bottles can be recycled to 1 fleece jacket.
How many fleece jackets can be made with 280 large plastic bottles?

Answers

Answer:

14 jackets

Step-by-step explanation:

20 plastic bottles=1 fleece jacket

280 plastic bottles=?

(280×1)÷20

=14

It would be 14 fleece jackets would be made

Find an overestimate for 33 x 67 by adjusting each factor up to the next ten.

Answers

Answer:

210 is my estimate

Step-by-step explanation:

Increase 33 to 40
Increase 67 to 70
Then 40x70 = 280

Area of a Parallelogram

Answers

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

its 80 feet if i am correct

can someone help me please!!

Answers

Answer:

55°

Step-by-step explanation:

∠KJL=180° - 125 = 55°

KL=KJ

so, ∠KJL= ∠KLJ =55°

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

192

Step-by-step explanation:

8²+x²=16²

x=y

[tex]x = \sqrt{192} [/tex]

What is the volume of a sphere with a radius of 6.9 ft

Answers

V=4/3 π•r^3
r=6.9 ft
V=4/3 π• (6.9)^3
V=4/3 π • 328.509 ft^3
V= π•438.012 ft^3
V= 1,375.35768 ft^3
V~ 1,375 ft^3

help me pleaseeeeeeeeeeeeeeeee

Answers

A + 15= 35
A +15-15=35-15
A=20

2b=20
2b/2=20/2
B=10

Britney is 10 years old

Will mark brainliest hurryyy!!!
Given A=[-3 -4 1 0] B= [-7 -9 4 -1] and c=[-42 -20 5 4] What is the value of X in the matrix equation AX + B = C?

Answers

I had this question asked before lol

Answer:

X=[1 5 8 -1]

Step-by-step explanation:

B or Option 2

A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?

a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg

Answers

James will need 115.08mg of medicine at the start of day 6.

If XY is 4 m and WZ is 9 m, the exact volume of the cone is ___π square meters.

Answers

Answer:

[tex] 48\pi \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of the cone (r) = XY = 4 m

Height of the cone (h) = WZ = 9 m

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ \cancel3} \pi {(4)}^{2}( \cancel9) \: \: \red{ \bold 3 }\\ \\= \pi \times 16 \times 3 \\ \\\purple {\bold {V_{cone} = 48\pi \: {m}^{3}}} [/tex]

will give brainliest! number 4 it’s the pythagorean theorem

Answers

Ok so Here is the answer

ill mark brainlist plss help

Answers

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?​

Answers

The answer to this equation is 17

A town's population went from 40,000 to 50,000. What was the percent of change in the population?

Answers

It would be a 0.8% change

Find the value of x in the triangle shown below.
2
7
x

Answers

Answer:

[tex] {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708[/tex]

Answer:

By using Pythagoras theorem we get

H²=p²+b²

7²=2²+x²

X²=7²-2²

X=√(49-4)=√45=3√5

Step-by-step explanation:

The square table has side lengths of 4 feet. What is the length of the diagonal?

Answers

Answer: 2 square root 2

Explanation: you can use the Pythagorean Theorem and do 4^2 + 4^2 = square root of 32 which is 2 square root 2
2 would be correct ^^
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