1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mama L [17]
3 years ago
14

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
Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

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)

(\frac{A}{B})^2= (\frac{9}{16})

Take the square root of both sides:

(\sqrt{\frac{A}{B}})^2 = (\sqrt{\frac{9}{16}})

\frac{A}{B} = \frac{3}{4}

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

Thus,

(B:C)³ = 27:125

(\frac{B}{C})^3= (\frac{27}{125})

Take the cube root of both sides:

(3\sqrt{\frac{B}{C}})^3 = (3\sqrt{\frac{27}{125}})

\frac{B}{C} = \frac{3}{5}

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

You might be interested in
1.
Harlamova29_29 [7]

Answer:

a) x = 1

Step-by-step explanation:

Given: 2x + 3 = 5

1. Subtract 3 from both sides:

2x + 3 - 3 = 5 - 3

⟹ 2x = 2

2. Divide both sides by 2:

2x ÷ 2 = 2 ÷ 2

⟹ x = 1

3. Check your work:

2(1) + 3 = 5

2 + 3 = 5

⟹ 5 = 5 ✔

Learn more about solving algebraic equations here:

brainly.com/question/27597890

brainly.com/question/25229258

8 0
2 years ago
The table shows the results of a survey of college students. Find the probability that a student’s first class of the day is a h
Mariana [72]
Answer is B..............:)
6 0
2 years ago
Read 2 more answers
A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.
12345 [234]

Answer:

1) G(t) = 75 + \frac{23}{4}t\\

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

\frac{150}{2} = 75 gallons

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

G(t) = 75 + \frac{23}{4}t\\

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

8 0
2 years ago
Simplify the expression and write the result in standard form, a+bi.<br><br> 6 - 8i / -2
gregori [183]

Answer:

\frac{6 - 8i}{ - 2}  =  \frac{6}{ - 2}  -  \frac{8i}{ - 2} (splitting \: denomenator) \\ =  -  3 -  - 4i \\ =   - 3 + 4i \\  thank \: you

4 0
3 years ago
Any1 know the answer to this need help ASAP
lukranit [14]

Answer:

D, -77 5/8

Step-by-step explanation:

6 3/4 = 27/4 = 6.75

6.75 x -11.5 = -77.625 or -77 5/8

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the probability of obtaining two tails when flipping a coin
    11·1 answer
  • How do u solve this algebra problem 5n=20
    6·1 answer
  • Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
    11·1 answer
  • Determine the input value for which the statement f(x) = g(x) is true.
    14·2 answers
  • David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to
    12·2 answers
  • There are 95 white pieces of paper in a hat along with 5 blue pieces of paper. What is the theoretical probability that a blind-
    7·1 answer
  • From 2006 to 2010, the population of a town declined to 22,000. The population is expected to continue to decline at a rate of 2
    13·2 answers
  • How do i construct congruent segments using tools like a compass and straight edge?
    11·1 answer
  • HELP ASSAPP WILL MARK BRAINIEST!!!!!!
    7·1 answer
  • A department store, on average, has a daily sales of $28,176.44. The standard deviation of sales is $1500. On Tuesday, the store
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!