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3 years ago

What is a decimal that is equivalent to the expression (3 x 10) + (4•1) + ( 7 • 1/10) + ( 5• 1/100)

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

6 0

The decimal form of the answer to that expression is

34.75

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Find the volume of the right triangular prism 2.5ft 3ft 7ft

Georgia [21]

26.25ft. Have a wonderful day

7 0

4 years ago

A cone has a radius of 4 units and a height of 6 units. Its volume is (A. 96 / B. 100.48 / C. 301.44 / D. 401.92) cubic units. I

Fed [463]

Answer:

<h2>A cone: B. V = 100.48 cubic units</h2><h2>A cylinder: C. V = 301.44 cubic units</h2>

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 4 u and H = 6 u. Substitute:

$V=\dfrac{1}{3}\pi(4^2)(6)=\dfrac{1}{3}\pi(16)(6)=\dfrac{1}{3}\pi(96)=32\pi\ u^3$

$\pi\approx3.14\to V\approx(32)(3.14)=100.48\ u^3$

If the cylinder has the same radius and height as a cone, then the volume of the cylinder is three times larger than the volume of the cone.

Therefore, the volume of acylinder:

$V\approx3(100.48)=301.44\ u^3$

Why?

The formula of a volume of a cone:

$V_{cone}=\dfrac{1}{3}\pi r^2H$

The formula of a volume of a cylinder:

$V_{cylinder}=\pi r^2H$

Therefore

$V_{cone}=\dfrac{1}{3}V_{cylinder}\to V_{cylinder}=3V_{cone}$

If the radius and height are the same.

8 0

3 years ago

The ration of two supplementary angles are 1:3 what is the measure of the smaller angle?

Nastasia [14]

Answer:

45°

Step-by-step explanation:

Let :-

The ratio be 1x : 3x

We know :-

The sum of supplementary angles is 180° .

On adding :-

→ x + 3x = 180°

→ 4x = 180°

→ x = 180°/4

→ x = 45°

<h3>Hence the smaller angle is 45° .</h3>

7 0

3 years ago

If there are 52 weeks in a year, how many more hours does a squirrel sleep in a year than a rabbit?

AveGali [126]

The squirrel sleeps 2548 hours more than the rabbit.

Difference of the numbers

Difference of the numbers means the result of subtracting one number from another.

Given,

If there are 52 weeks in a year,

Then we need to find how many more hours does a squirrel sleep in a year than a rabbit.

First, we have to find the sleeping pattern of squirrel and rabbit.

A squirrel spends up to 60% of its day asleep, which means that an average squirrel sleeps for almost 15 hours each day.

Similarly, the rabbits are sleep six to eight hours each day.

So for one day,

Rabbit = 8 hours per day

Squirrel = 15 hours per day.

Then the sleeping hours for one week is

Rabbit = 8 x 7 = 56 hours

Squirrel = 15 x 7 = 105 hours

So, for 52 weeks, they spend

Rabbit = 56 x 52 = 2912

Squirrel = 105 x 52 = 5460

So, the difference is

=> 5460 - 2912

=> 2548

Therefore, the squirrel sleeps 2548 hours more than the rabbit.

To know more about Difference of the number here.

brainly.com/question/666360

#SPJ4

5 0

2 years ago

When a certain kind of bacterium takes a step, it moves 3 x 10^-7 meters. When

mixas84 [53]

Answer:

Step-by-step explanation:

0.75/(3*10^(-7)) = 0.25*10^7 = 2.5*10^6

3 0

3 years ago