3x10^-2 divided by 8x10^-1

Mathematics

1 answer:

JulsSmile [24]3 years ago

6 0

Answer:

Step-by-step explanation:

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On his way back, Thomas took the train. The distance travelled by the train is 328 miles. If it takes 5 1/8 hours to travel by t

Leona [35]

Answer:

Thomas travels <em>64 miles each hour</em>.

Step-by-step explanation:

Distance traveled by train = 328 miles

Time taken to travel by train = $5\frac{1}{8} hr \Rightarrow \frac{5 \times 8+1}{8} \Rightarrow \frac{41}{8} hr$

We know that speed can be formulate as:

$\text{Speed = } \dfrac{\text{Distance Travelled}}{\text{Time Taken}}$

Speed is equal the total distance traveled for the one unit time.

In our case, speed is total distance traveled in miles in 1 hour.

So, using above formula:

$\text{Speed = } \dfrac{328}{\dfrac{41}{8}}\\\Rightarrow 8 \times 8\\\Rightarrow 64\ miles/hour$

As per definition of Speed, Thomas travels <em>64 miles each hour</em>.

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4 years ago

A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you

prisoha [69]

The volume of the prop is calculated to be 1,875.6 cubic inches.

Step-by-step explanation:

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 inches and the height is 12 inches.

The volume of the cone: $\frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.14) (8^{2}) (12)= 803.84$ cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).