a model for a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the model to the height of the actual model in simplest form?

Answers

Answer 1

Answer:

Ratio [Model : Actual] = 1:16

Step-by-step explanation:

Given:

Height of model = [tex]2\frac{1}{2}[/tex] inches = 5/2 inches = 2.5 inches

Height of actual status = [tex]3\frac{1}{3}[/tex] feet = 10 / 3 feet

Find:

Ratio [Model : Actual]

Computation:

Height of actual status = [tex]3\frac{1}{3}[/tex] feet = 10 / 3 feet

Height of actual status = [10 / 3] x 12

Height of actual status = 40 inches

Ratio [Model : Actual] = 2.5 / 40

Ratio [Model : Actual] = 1:16


Related Questions

Which expression is equivalent to 5 - 8?
O -5 +8
O 5+ (-8)
0 5 + 8
O 8 + (-5)

Answers

Answer:

is "5+(-8)"

Step-by-step explanation:

5 - 8 = -3

5 + (-8)

5-8 = -3

Answer:

B

Step-by-step explanation:

Reasoning Find the sum (3x + 9) + (- 4x + 8).
combine terms with variables
(3x + 9) + (- 4x + 8) =

Answers

Answer:

-x + 17

Step-by-step explanation:

3x minus 4x is negative x

9 plus 8 is 17

Type the missing number in this sequence: –2, –4, –8, , –32, –64 Questions

Answers

Answer:

-16

Step-by-step explanation:

The sequence pattern is ×2

-4 × 2 is -8

-8 × 2 is -16

-16 × 2 is -32

Answer:

-16

Step-by-step explanation:

-2

-2(2) = -4

-4(2) = -8

-8(2) = -16

-16(2) = -32

-32(2) = -64

Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the
dimensions of 4 centimeters by 6 centimeters? Select two options.
The area of the base of the pyramid, B, is 8 cm.
The area of the base of the pyramid, B, is 24 cm?
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times the volume of this pyramid.
1
A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 of the volume of this pyramid.
The volume of this pyramid is 216 cm

Answers

Answer:

- The area of the base of the pyramid, B, is 24 cm

- A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

Step-by-step explanation: Volume of a rectangular based pyramid = 1/3{Base area × Height}

Base Area = Length × Breadth

Volume = 1/3{(Length × Breadth) × Height}

Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4

centimeters by 6 centimeters

Base Area = 4cm × 6cm

Base area = 24cm²

If Height =9cm

Volume of the pyramid = 1/3 × 24 × 9

Volume = 24 × 3

Volume of the pyramid = 72cm³

If the shape is a prism, the volume will be base area × height

= 24 × 9

= 216cm³

It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.

What is the value of t in the following equation?

t + 14 = 2712
A. t = 37
B. t = 123
C. t = 213
D. t = 323

Answers

Answer: t = 2698 as question is written. Just subtract 14 from both sides. There is either a typo in the question or the answer choices.

Step-by-step explanation:

The functions f and g are defined as follows.

f(x)= 1/(x+2)

g(x)= square root of: (x-1)

(a)
State which value of x cannot be included in the domain of f.

(b)
Find the inverse of g(x)


(c) Calculate fg(10)

Answers

Answer:

x != -2, x^2 + 1, 1/5

Step-by-step explanation:

(a) It can be understood that nothing can divide 0

thus denominator cannot be 0 meaning x cannot be -2.

(-2 + 2) = 0

(b) y = sqrt(x-1)

inverse meaning we make x the subject

square both sides

y^2 = x - 1

y^2 + 1 = x

inverse = x^2 + 1

(c) composite function:

pass g(10) as domain of f

g(10) = 3, f(3) = 1/(5) = 1/5

I'm lost on this please help

Answers

Answer:

y = x - 4

I hope this helps!

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. What is the average value of f over the interval [−2,5] ?

Answers

Answer:

The average value of [tex]f[/tex] over the interval [tex][-2,5][/tex] is [tex]\frac{10}{7}[/tex].

Step-by-step explanation:

Let suppose that function [tex]f[/tex] is continuous and integrable in the given intervals, by integral definition of average we have that:

[tex]\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6[/tex] (1)

[tex]\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20[/tex] (2)

By Fundamental Theorems of Calculus we expand both expressions:

[tex]\frac{F(3)-F(-2)}{3-(-2)} = -6[/tex]

[tex]F(3) - F(-2) = -30[/tex] (1b)

[tex]\frac{F(5)-F(3)}{5-3} = 20[/tex]

[tex]F(5) - F(3) = 40[/tex] (2b)

We obtain the average value of [tex]f[/tex] over the interval [tex][-2, 5][/tex] by algebraic handling:

[tex]F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)[/tex]

[tex]F(5) - F(-2) = 10[/tex]

[tex]\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}[/tex]

[tex]\bar f = \frac{10}{7}[/tex]

The average value of [tex]f[/tex] over the interval [tex][-2,5][/tex] is [tex]\frac{10}{7}[/tex].

Helpppppppppppppppppppppp Me pick two

Answers

Answer:

options C and E

Step-by-step explanation:

[tex]y=\frac{1}{3} x+\frac{8}{3} \\\\y=\frac{1}{3} x+6[/tex]

have a nice day!!

Solve 1= X^2+3x-16/X^2-6x+8

Answers

Answer:

x=1.816298 or x=−1.162524

Step-by-step explanation:

Step 1: Multiply both sides by x^2.

x2=x4−3x3+8x2−16

x2−(x4−3x3+8x2−16)=x4−3x3+8x2−16−(x4−3x3+8x2−16)(Subtract x^4-3x^3+8x^2-16 from both sides)

−x4+3x3−7x2+16=0

(Use quartic formula)

x=−1.162524,1.816298

Check answers. (Plug them in to make sure they work.)

x=1.816298(Works in original equation)

x=−1.162524(Works in original equation)

I need help some plz answer give out point!

Answers

Answer:

Kiwis because there are 12 and cost less then nectarienes

Step-by-step explanation:

hope this helps pls give me brainliest

help me plz ill give extra points

Answers

Answer:

it will turn off

Step-by-step explanation:

when it is disconceted it will cause it to shut off

hope this helps ||

                         v

Answer: Then the light bulb will not turn on or light up or work because the wire is disconnected and plus the switch is off

Step-by-step explanation:

Please mark me as brainliest

A teacher wants to treat her home room class for perfect attendance for the last three months. He is deciding offering a pancake breakfast in the morning or pizza lunch in the afternoon
To help him decide , he takes a poll of the first 10 students that arrive at school
In the morning.
Do you agree with teachers choice of sampling method

Answers

Yes, it is efficient.
This way students are encouraged to continue with their early attendance.
Students tend to make more of a habit something when it is rewarded

A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.

60%
40%
20%
50%

Answers

Answer: I should be 60%

Step-by-step explanation:

20 * 5 = 100 so we multiply the number of times you got heads by 5. 12 * 5 = 60.

Answer:

it will be 60%

because i got it right

The two dot plots represent a sample of the number of people in households in two towns. Which statements are true about the data sets?
Check all that apply.
Both have the same number of data points.
Both means are between 3 and 4.
Both have the same median.
Both have the same range.
Westwood has less variability than Middleton.

Answers

Answer:

both have the same amount of dots I know that.

Step-by-step explanation:

also, I love the profile picture:)

Answer: 1, 2, and 5

Step-by-step explanation:

I did it myself

What is the slope of the line

A.1/2

B.1

C.-2

D.2

Answers

I think the answer is A
I think the answer is a sorry if I’m wrong

Here's a graph of a linear function. Write the equation that describes that function. 8 Express it in slope intercept form. Enter the correct answer. ​

Answers

Answer:

f(x) = [tex]\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Let the equation of the function is,

f(x) = mx + b

Here, m = slope of the line

b = y-intercept

From the graph attached,

y-intercept 'b' = 4

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

          = [tex]\frac{4}{8}[/tex]

          = [tex]\frac{1}{2}[/tex]

Therefore, equation of the function representing the graph will be,

f(x) = [tex]\frac{1}{2}x+4[/tex]

Help asap please :(

Find the surface area of the composite figure.

Answers

Answer:

136 in²

Step-by-step explanation:

8x2=16

6x2=12

6x2=12

6x2=12

10x2=20

10x2=20

10x2=20

8x2=16

2x2=4

2x2=4

136 in²


Math question attached below

Answers

Answer:

4 x 2

Step-by-step explanation:

number of rows is 4

number of columns is 2

Write a general formula to describe the variation:
x varies inversely with the square root of y; x = 6 when y = 64.

Answers

Answer:

the last one

Step-by-step explanation:

The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the mass of the empty basket in kilograms. ​

Answers

Answer:

1.21 kilograms

Step-by-step explanation:

Let y represent the mass of the empty basket, and x represent the mass of each ball

Create a system of equations:

3x + y = 3.64

5x + y = 5.26

Solve by elimination by multiplying the top equation by -1

-3x - y = -3.64

5x + y = 5.26

Add them together, then solve for x:

2x = 1.62

x = 0.81

Plug this back into one of the equations and solve for y:

3x + y = 3.64

3(0.81) + y = 3.64

2.43 + y = 3.64

y = 1.21

So, the mass of the empty basket is 1.21 kilograms

Answer:

1.21 kilograms

Step-by-step explanation:

Hope this helps

What’s the answer to this?

Answers

Answer:

B

Step-by-step explanation:

Answer:

It think he should be , the correct answer is B

What is the equation of the inverse y = x^2 + 4?

Answers

The correct answer is b

Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
14 cm
25 cm
11 cm

Answers

14 cm is the awnser for this problem

Can anyone help me out on this

Answers

Y=mx+b
Therefore
Y=x+3

Answer:

i'd saay 3/7

Step-by-step explanation:

also plz help on this

ANSWER ASAP The questions on a multiple-choice test each have 5 answer choices.
Which of the following models could you use to simulate the
outcome of guessing the correct answer?
F. spinning a spinner with five equal sections
G. flipping a coin five times
H. spinning a spinner with four equal sections
I. rolling a number cube labeled one through six five times

Answers

Answer:

F, spinning a spinner with five equal sections

Step-by-step explanation:

The probability of something is (the ways to acheive the wanted outcome / all possible situations)

For example, the probability of getting heads on a coin flip is (1 possible way to get heads / 2 possible outcomes) = 1/2, or 50/50

Now, onto the problem.

There is only one way to get the answer right, and 5 possible situations. So, the probability of getting the question right would be 1/5.

F) Spinning a spinner with five parts means that you have: 1 way to get the right section, and 5 possible outcomes. So, the probability of getting the right section would be 1/5. So, this answer is correct.

G) Flipping a coin five times: Each time, you have a 1/2 chance of the coin landing on the desired side. So, this would not be an accurate comparison.

H) Spinning a spinner with four equal sections: There is one way to land on the desired section, and 4 possible outcomes. So, the probability of this simulation is 1/4, so this answer is incorrect.

I) Rolling a number cube labeled one through six times: Each time, there is one way to land on the number you want, while there are six possible outcomes. So, the probability of getting your desired number is 1/6, which is incorrect.

I hope this helps! Feel free to ask any questions!

help pls!! ....................................................

Answers

Answer:

(a) The width is 40 inches

(b) It will not

Step-by-step explanation:

Given

[tex]D = 50[/tex] -- Diagonal

Solving (a): H = 30 --- (height).

Find the width (W)

To do this, we make use of Pythagoras theorem

[tex]D^2 = H^2 + W^2[/tex]

This gives:

[tex]50^2 = 30^2 + W^2[/tex]

[tex]2500 = 900 + W^2[/tex]

Collect Like Terms

[tex]W^2 = 2500 - 900[/tex]

[tex]W^2 = 1600[/tex]

Take square roots

[tex]W = 40[/tex]

Solving (b): Will it fit into a 30 in wide cabinet?

In (a) above, we calculated the width of the TV to be 40 inches

This implies that, the width is greater than the width of the cabinet.

So, it will not fit in

WILL GIVE BRAINLIEST, PLS HELP

A coin is tossed and a number cube is rolled at the same time. What is the probability that the coin will land on tales and the number cube will land on four?

A:) 1/12
B.) 1/6
C.) 1/4
D.) 5/12

Answers

Answer:

A: [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Chance of tales: [tex]\frac{1}{2}[/tex]

Chance of four: [tex]\frac{1}{6}[/tex]

Multiply: ([tex]\frac{1}{2}[/tex])([tex]\frac{1}{6}[/tex]) = [tex]\frac{1}{12}[/tex]

I will give u branlylist

Answers

Answer:

17.99x = y

Step-by-step explanation:

el Mosaico Coffee & Garden gives a $10 gift card to spend if customers can guess the sequence of the day. Janeth arrives on a Wednesday and is given with the following sequence when she arrives to the counter: {13,4,-5,-14,-23,-32} She identified as [Drop Down 1] and the recursive rule for as [Drop Down 2].

Answers

Answer: Drop down 1: 13

Drop down 2: a_n-1_-9

Step-by-step explanation:

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