All categories

3 years ago

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

C. In (MN) = In M + In N, for M> 0 and N> 0 True or false

melisa1 [442]

That statement is true

8 0

3 years ago

The first gardener can finish the job in 6 hours, and the second gardener can do the same job in 7 hours. How long it will take

marissa [1.9K]

If the first gardener can finish the job in 6 hours, it means that every hour he completes 1/6 of the job.

By the same logic, the second gardener completes 1/7 of the job per hour.

So, if they work together, they complete

$\dfrac{1}{6}+\dfrac{1}{7}=\dfrac{7+6}{42}=\dfrac{13}{42}$

of the job per hour.

So, after 42/13 of a hour, they'll complete the job. Since one hour is made of 60 minutes, 42/13 of a hour is

$\dfrac{42}{13}\cdot 60 \approx 194$

So, it will take them about 194 minutes to finish the job, i.e. about 3 hours and 14 minutes.

8 0

3 years ago

part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

5 0

3 years ago

You purchase pair of pants for $34.60 and a shirt for $12.30. If you need to pay 8% sales tax, what is the final price?

11111nata11111 [884]

Answer:

50.65

Step-by-step explanation:

34.60+12.30=46.90

8%=.08

46.90*.08=3.752

add tax to the total-

46.90+ 3.75= 50.65

4 0

3 years ago

If 675 is 3/4 what is the the other 1/4 and how did you get it ?

SashulF [63]

Answer:

225

Step-by-step explanation:

If you divide 675 you'll get 225. 225 times 4 will be 900. But 225 times 3 will be 674. So each 1/4 will be 225.

6 0

3 years ago

Read 2 more answers