Three solid shapes A,B and C The surface area of shape A is 9cm² The surface area of shape B is 16cm² The ratio of the volume of shape B to the volume of shape C is 27 : 125 Work out the ratio of the height of shape A to the height of shape C

Answers

Answer 1

Answer:

9:20

Step-by-step explanation:

Given:

Surface area of shape A = 9 cm²

Surface Area of shape B = 16 cm²

Ratio of volume of shape A to B = 27:125

Required:

Find the ratio of the height of shape A to the height of shape C.

Ratio of surface area (A:B)² = ratio of linear measures (A:B)

Thus,

(A:B)² = (A:B)

(A/B)² = (A/B)

[tex] (\frac{A}{B})^2= (\frac{9}{16}) [/tex]

Take the square root of both sides:

[tex] (\sqrt{\frac{A}{B}})^2 = (\sqrt{\frac{9}{16}}) [/tex]

[tex] \frac{A}{B} = \frac{3}{4}[/tex]

Ratio of volume of shape B to C = 27:125

Thus,

(B:C)³ = 27:125

[tex] (\frac{B}{C})^3= (\frac{27}{125}) [/tex]

Take the cube root of both sides:

[tex](3\sqrt{\frac{B}{C}})^3 = (3\sqrt{\frac{27}{125}})[/tex]

[tex] \frac{B}{C} = \frac{3}{5}[/tex]

Therefore, ratio of lengths A:B:C =

3:4:C

A:3:5

To make them equivalent, we have:

9:12:C

A:4:20

Therefore, the ratio of the height of shape A to the height of shape C =

9:20


Related Questions

If the computer costs $2150 and Melissa puts
$150 away each month, how long will it take her
to save enough money to buy the computer?

Answers

Answer:

14 months and 1/3 of a month

Step-by-step explanation:

We can find how many months it will take by dividing the cost by the amount she puts away each month:

2150/150 = 14.33

So, it will take her 14 and 1/3 of a month

14 months and 1/3 months

Can someone help ill mark brainliest.

Answers

Answer:

y=3x+6

Step-by-step explanation:

When creating a slope equationg like this one the slope will always have the x next to it and the y intercept will always be on the end

After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?

Answers

Answer:

Peter started with 21 cards

Step-by-step explanation:

half of his card that gave to bobby =9

so the other half is 9

9+9=18

18+3 cards that he lost at the beginning=21

Answer:

Substitute 21 for X in the original equation YES

Substitute any number for X in the original equation NO

Bobby’s claims that x=21 is correct YES

The result of verifying Bobby's work is 9=9 YES

The result of verifying Bobby's work is 21=21 NO

Step-by-step explanation:

got right on edg

I am a quadrilateral with 2 pairs of equal sides.
I also have 2 pairs of parallel sides. I have no lines of
symmetry.
What am I?

Answers

Answer:

Parallelogram

Pls Mark As Brainliest

Which represents the reference angle for 2pi/3

Answers

Answer:

The reference angle of [tex]\frac{2\pi}{3}[/tex] is [tex]\frac{\pi}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2\pi}{3}[/tex]

Required

Which represent its reference angle

The very first step is to determine the quadrant of the given angle

For better understanding;

Convert [tex]\frac{2\pi}{3}[/tex] to degrees

[tex]\frac{2\pi}{3}[/tex] = [tex]\frac{2}{3} * 180[/tex]

[tex]\frac{2\pi}{3}[/tex] = [tex]\frac{2 * 180}{3}[/tex]

[tex]\frac{2\pi}{3}[/tex] = [tex]\frac{360}{3}[/tex]

[tex]\frac{2\pi}{3}[/tex] = [tex]120[/tex]

120 degrees in in the second quadrant; Hence, [tex]\frac{2\pi}{3}[/tex] is in the second quadrant

The reference angle of [tex]\frac{2\pi}{3}[/tex] is calculated using the following formula;

[tex]\pi - \frac{2\pi}{3}[/tex]

Rewrite [tex]\pi[/tex]

[tex]\pi - \frac{2\pi}{3} = \frac{3\pi}{3} - \frac{2\pi}{3}[/tex]

Take LCM

[tex]\pi - \frac{2\pi}{3} = \frac{3\pi - 2\pi}{3}[/tex]

[tex]\pi - \frac{2\pi}{3} = \frac{\pi}{3}[/tex]

Hence, the reference angle of [tex]\frac{2\pi}{3}[/tex] is [tex]\frac{\pi}{3}[/tex]

The reference angle for the angle 2π/3 is, π/3

Given that,

An angle is,

⇒ 2π/3

To determine the reference angle we need to find the quadrant of the given angle.

For this, we can convert angle into degree,

2π / 3 = 2 × 180 / 3

          = 120°

Since, 120 degrees is lies in the second quadrant.

Hence, 2π/3 is in the second quadrant.

So, The reference angle is,

⇒ π - 2π/3

⇒ π/3

Therefore, The reference angle for the angle 2π/3 is, π/3

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ6

a person stands on top of a 200 ft building and spots a person on the ground below. the angle of depression from where the person is standing on top of building to the person on the ground is 39°. How far away are the two people from each other?​

Answers

Answer:

246.979 ft

Step-by-step explanation:

When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal x. We must use tan∅ to solve:

tan39° = 200/x

xtan39° = 200

x = 200/tan39°

x = 246.979

Pls help me I will mark BRAINLIST

Answers

Answer:

25 quarters, 5 half dollars

Step-by-step explanation:

let a = the number of half dollars in the jar

and b = the number of quarters

a + b = 30

0.5a + 0.25b = 8.75

multiply the second equation by -2 to get

-a - 0.5b = -17.5

Now add the new equation and the first to eliminate h

a + b = 30

-a - 0.5b = -17.5

----------------------------

0.5b = 12.5

b = 25

There are 25 quarters, so there must be 5 half dollars

Answer:

Step-by-step explanation:

Let half dollars be d and quarters be q

d + q = 30 thus, q = 30 - d

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

0.5d + 0.25q = 8.75 substitute for q:

0.5d + 0.25(30 - d) = 8.75

0.5d + 7.5 - 0.25d = 8.75

0.25d = 1.25

d = 5 so there are 5 half dollars in the jar

Therefore, there are 30 - 5 = 25 quarters in the jar

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Check:

25 x 0.25 = 6.25

5 x 0.5 = 2.5

-----------------

Total . . 8.75 Correct

How long will it take an airplane to travel 1,250 km if it is traveling at 150 km/hr ?

Answers

Answer:

[tex]\boxed{Time = 8.33 hrs}[/tex]

Step-by-step explanation:

Given:

Distance = S = 1250 km

Speed = v = 150 km/hr

Required:

Time = t = ?  hrs

Formula:

Speed = Distance / Time

Solution:

Rearranging the formula

=> Time = Distance / Speed

=> Time = 1250/150

=> Time = 8.33 hrs

A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?

Answers

Answer:

2.38 Kg were eaten

Step-by-step explanation:

first we should divide 34 by 100

the result will be 0.34

then we multiply 0.34 x 7 Kg = 2.38 Kg

Please answer this now in two minutes

Answers

Answer:

hope it will help uh.....

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value? Which expression converts 100 inches per minute to feet per minute? Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week? There are 16 cups in a gallon.

Answers

Answer:

0.109589 millimeters per day.

Step-by-step explanation:

10 mm = 1 cm

4 cm = 4 × 10

       = 40 mm

365 days = 1 year

rate to millimeters per day = 40 mm in 365 days

                                           = 40/365  mm/day

                                            = 8/73 mm/day

                                      or    = 0.109589 mm/day.

Rate to millimeters per day = 0.109589 millimeters per day.

Step-by-step explanation:

the first question is the first answer 4cm/1 years x 10mm/1cm x 1 year/ 365 days

the second question is the third answer 100 inches/1 minute x 1 foot/ 12 inches

Meline has 4 different coloured crayons and 2 different boxes. How many different ways can Meline put all 4 different crayons into 2 boxes so that each box has at least 1 crayon?

Answers

Answer:

3 different ways

Step-by-step explanation:

If Melinda has 4 different crayon and 2 different boxes and she is to put all 4 crayons into the two boxes so that each box has at least 1 crayon, this  can be achieved as follows. Note that at least one crayon must be in each box, this means no box must be left empty. Each box can take any number of crayon from 1 and above.

First box      Second box

1 crayon        3 crayons (first way)

2 crayons     2 crayons (2nd way)

3 crayons     1 crayon (3rd way)

This means that crayons can be divided into each box in 3 different ways provided that each box has at least 1 crayon.

Find the area of the composite shape...

Answers

Answer:

166cm^2

Step-by-step explanation:

To calculate the area of the composite shape, find the area of rectangle and subtract the area of the triangle from it:

Area of rectangle =  16 x 11 = 176cm^2

Area of triangle = 1/2 x 4 x 5 = 10cm^2.

Since the shape is a rectangle, which the supposed shape of a triangle removed, subtract the area of triangle from that of rectangle:

176-10 = 166cm^2

Hope this helps

Good Luck

Please mark brainiest

Select the two values of x that are roots of this equation.
x - 5x+2=0

A. X=
5+33
B. X=
C. x=
5+ _17
2
D. x-5-3​

Answers

Answer:

A and C

x = -(√17 - 5)/2, (√17 + 5)/2

Step-by-step explanation:

Quadratic Formula: [tex]x = \frac{-b +/-\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Use quadratic formula

a = 1, b = -5, c = 2

[tex]x = \frac{5 +/-\sqrt{(-5)^2-4(1)(2)} }{2(1)}[/tex]

[tex]x = \frac{5 +/-\sqrt{25-8} }{2}[/tex]

[tex]x = \frac{5 +/-\sqrt{17} }{2}[/tex]

Un campanario tarda 4s en tocar 5 campanadas , ¿Cuanto tardara en tocar 10 campanadas?

Answers

¿Cuanto tardara en tocar 10 campanadas?

FIND 2 RATIONAL NUMBER and two irrational numbers between 0.15 and 0.16

Answers

Answer:

Rational numbers:

Any terminating decimal is a rational number.

0.151

0.152

Irrational numbers:

Pi is irrational, so when pi is divided by a rational number, the result is irrational.

pi/20.8 = 0.151038108...

pi/20.7 = 0.151767761...

math is not my strong suite so maybe someone can help me out?? If sin y° = 7 divided by q and tan y° = 7 divided by r, what is the value of cos y°? (6 points) cos y°= r divided by q cos y° = 7r cos y° = 7q cos y°= q divided by r

Answers

Answer:

A. cos y°= r/q

Step-by-step explanation:

Problem: If sin y = 7/q and tan y = 7/r, what is the value of cos y?

A. cos y°= r/q B. cos y° = 7r C. cos y° = 7q D. cos y°= q/r

Answer:

sin y = opp/hyp = 7/q

tan y = opp/adj = 7/r

opp = 7; hyp = q; adj = r

cos y = adj/hyp = r/q

Answer: A. cos y°= r/q

Answer:

cos y = r/q

Step-by-step explanation:

Hey! took the test got it right decided to put it here have a good day!

Write a linear equation that represents the arithmetic sequence 10, 8, 6, 4, ...

A. an = 10 - 2(n-1)
B. an = 10 + 2(n + 1)
C. an = 2 + 10(n-1)
D. an = 10 + 2(n-1)​

Answers

Answer:

A

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = 8 - 10 = - 2, thus

[tex]a_{n}[/tex] = 10 - 2(n - 1) → A

Answer:

A

Step-by-step explanation:

an = 10 – 2(n – 1)

Angle BDC measures 42°. What is the measure of angle BAC

Answers

Answer:

42°

Step-by-step explanation:

These traingles are refelctions, A≅D   B≅C

What is (1.6x + 7.3) + (–0.6x + 2) – (7.8 – 3.4x), simplified?

Answers

Answer:

4.4x+1.5

Step-by-step explanation:

[tex](1.6x + 7.3) + (-0.6x + 2) - (7.8 -3.4x)\\Ope- the- brackets\\1.6x+7.3-0.6x+2-7.8+3.4x\\Collect-like-terms\\1.6x-0.6x+3.4x+7.3+2-7.8\\4.4x+1.5[/tex]

Answer:

4.4

Step-by-step explanation:

If a person walks 12 mile in 20 minutes, how far will that person walk in one hour?

Answers

Answer: 36 miles

Step-by-step explanation: Multiply 12 by 3 to find out how many miles a person will walk in an hour.

12 miles = 20 minutes

12 x 3 = 36

36 minutes in 1 hour

Answer:

36 miles

Step-by-step explanation:

convert the one hour into minutes, which will be 60 minutes.

if 12 miles = 20 minutes,......................... what about 60 minutes.

     ??        =  60 minutes.

cross multiply:

it will become; 12 ×60 ÷20

= 36 miles

El entrenamiento de basquet se una situación de una institución educativa debe elegir a uno de los dos deportistas que están en la banca para que ingrese al campo en un partido decisivo durante los juegos deportivos escolares nacionales. Pará tomar la decisión, consulta una tabla con la puntuación de cada uno de ellos en los partidos anteriores. Los puntos anotados por cada deportista de los cinco últimos partidos figuran en la siguiente tabla

Answers

Answer:

los pala de depotistas ingrese banca para tomar la decision

Step-by-step explanation:

Miguel babysits for 3 hours and earn 15 which represents the unit rate?

Answers

Answer:

15

Step-by-step explanation:

Answer:  

Miguel babysits for 3 hours and earns $15. Which represents the unit rate?

Option  D

(D) $5 per hour

Step-by-step explanation:

$5.00 Per Hour Represents unit rate,  15 / 3 = 5

PLS HELP 85 POINTS PLEASE PLEASE PLEASE!!! A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images. Sample 1: 4 Sample 2: 1 Sample 3: 9 How do the sample statistics compare to the population mean and standard deviation?

Answers

Answer:

0.3007 or 30.07%

Step-by-step explanation:n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50

multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125

square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Given:

250 sheep in a 40-acre pasture.

250/40 = 6.25 or 6 sheep per acre

n = 6

Sample 1: 4 → 4/6 = 0.67

Sample 2: 1 → 1/6 = 0.17

Sample 3: 9 → 9/6 = 1.50

Sample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211

Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411

Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

Sample 1: 0.2211/6 = 0.03685

Sample 2: 0.1411/6 = 0.02352

Sample 3: -0.75/6 = -0.125

Sample 1: √0.03685 = 0.1919

Sample 2: √0.02352 = 0.1534

Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of error

Sample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error

please mark me brainliest!

trig with a picture included

Answers

Answer:

51m

Step-by-step explanation:

tan 21 = y/35;    y=13.43

tan 47 = x/35;    x=37.53

13.43+37.53 = 50.97 = 51m

A map has a scale of 1 cm to 3.2 km. The real-life distance between two towns is 64 km. What is the distance between the two towns on the map?

Answers

Answer:

20 cm

Step-by-step explanation:

64/3.2 km = 20cm

Find the value of x needed to make the equation below true. -4(1.5x-5)+4x=26

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

x = -3

▹ Step-by-Step Explanation

-4(1.5x - 5) + 4x = 26

-6x + 20 + 4x = 26

-2x + 20 = 26

-2x = 26 - 20

-2x = 6

x = -3

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: x= -3

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.  

x=-3

-6x+20+4x=26

-2x+20=26

-2x=6

x=-3

PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?

Answers

Answer:

Approximately 9.90 units.

Step-by-step explanation:

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.

Plug in the numbers:

[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]

[tex]d=\sqrt{7^2+7^2}[/tex]

[tex]d=\sqrt{2(7)^2}[/tex]

[tex]d=7\sqrt{2}[/tex]

Write each answer in polynomial in simplest form The cost of 12 gallons of gas is represented by 12x, and the cost of a quart of oil is represented by 2x - 30.Represent the cost of 12 gallons of gas and a quart of oil.

Answers

Answer:

The cost of 12 gallons of gas and a quart of oil is 14·x - 30

Step-by-step explanation:

When adding variables, the coefficient of the variables are added followed by multiplication of the sum of the coefficients with variable as follows;

The cost of 12 gallons of gas = 12·x

The cost of a quart of oil is represented by 2·x - 30

Therefore, the cost of 12 gallons of gas and a quart of oil can be represented as follows;

12 gallons of gas and a quart of oil = 12·x + 2·x - 30

Which gives;

The cost of 12 gallons of gas and a quart of oil = 14·x - 30.

Question 5 PLEASE HELP What is the graph of 3x+6y=-18

Answers

Answer:

hope this helps uh...!!!

Answer:

Step-by-step explanation:

3x+6y=-18

y=-3x/6-18/6

y=-1/2 x-3

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