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
9966 [12]
3 years ago
13

Two similar bottles are shown. the smaller bottle can hold 500ml. how much can the larger bottle hold.

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles then the larger bottle will hold approximately 701.14 ml of fluid.

Step-by-step explanation:

Formula of volume of a cylinder is pi*r^2*h where value of pi is 3.14, r is the radius and h is the height of the bottle.

After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.

You might be interested in
The vertex angle of an isosceles triangle is 20° less than the sum of the base angles. Which system of equations can be used to
WINSTONCH [101]

The answer to the above question can be explained as under -

We know that, the sum of angles of triangle is 180°.

So, vertex angle plus base angles are equal are equal to 180°.

Let the vertex angle be represented by "v" and base angles be represented by "b".

Thus,  v + b + b = 180°

So,  v + 2b = 180°

Next, the question says, the vertex angle is 20° less than the sum of base angles.

Thus, 2b - 20° = v

<u>Thus, we can conclude that the correct option is A) v + 2b = 180°, 2b - 20° = v</u>

6 0
3 years ago
the pet store sells bags of pet food. there are 4 bags of cat food. one sixth of the bags of food are bags of cat food. how many
const2013 [10]
28 bags if you include the cat food (which you would)
8 0
3 years ago
Read 2 more answers
In abc above,what is the length of ad​
Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

First calculate BD using sine ratio in Δ BCD and the exact value

sin60° = \frac{\sqrt{3} }{2}, thus

sin60° = \frac{opposite}{hypotenuse} = \frac{BD}{BC} = \frac{BD}{12} = \frac{\sqrt{3} }{2} ( cross- multiply )

2BD = 12\sqrt{3} ( divide both sides by 2 )

BD = 6\sqrt{3}

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

Calculate AD using the tangent ratio in Δ ABD and the exact value

tan30° = \frac{1}{\sqrt{3} } , thus

tan30° = \frac{opposite}{adjacent} = \frac{AD}{BD} = \frac{AD}{6\sqrt{3} } = \frac{1}{\sqrt{3} } ( cross- multiply )

\sqrt{3} AD = 6\sqrt{3} ( divide both sides by \sqrt{3} )

AD = 6 → B

4 0
3 years ago
A lighthouse operator sights a sailboat at an angle of depression of 12 degrees. If the sailboat is 80m away, how tall is the li
mart [117]
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think. 

Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h

In short,
adjacent = 80
opposite = h

We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018  <<-- see note below

So the lighthouse is roughly 17.0045249336018 meters tall

Answer: 17.0045249336018

Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to

4 0
3 years ago
Alex says that the function f(x) = (3x)2 represents a vertical stretch of the quadratic parent function by a factor of 3. Marta
gavmur [86]

Our parent function is f(x)=x^2. A vertical stretch by a factor of k means that every point (x,f(x)), has been transformed into (x,kf(x)). Alex is clearly incorrect as our parent function has been transformed to (x,9f(x)), not (x,3f(x)). A horizontal stretch(or compression) by a factor of k means our function has been transformed to (x/k,f(x)). Here, Marta is saying our function should look like (3x,f(x)). This can also be achieved by plugging 3x into the parent function, which would give us f(3x)=(3x)^2, so it seems that Marta is the correct one.

6 0
3 years ago
Other questions:
  • The moon's distance from Earth varies in a periodic way that can be modeled by a trigonometric function.
    7·1 answer
  • A soccer ball is kicked with a velocity of 25 m/s at an angle of 45° above the horizontal. What is the vertical component of its
    13·1 answer
  • How can you be sure that you have listed all of the proper factors of a number
    7·1 answer
  • I HAVE NO IDEA - Please show your work and full explanation! <br><br> Thanks !
    5·2 answers
  • Find the domain and range of the exponential function h(x) = –343^x. Explain your findings. As x decreases, does h increase or d
    6·1 answer
  • Which is bigger 1/3 or 7/8
    5·2 answers
  • Salma has to carry 254 apples from a farm to the market. How many baskets will she need, given that each basket can hold 33 appl
    11·2 answers
  • Solve the equation.<br><br> 5x + 8 - 3x = -10
    10·2 answers
  • A group of students organized a car wash to raise money for a local charity. The students charged $8.00 for each car they washed
    10·2 answers
  • Vance charges $9.50 each time he mows his neighbor's lawn.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!