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3 years ago

How to write 784,893 in expanded form

Mathematics

2 answers:

tensa zangetsu [6.8K]3 years ago

4 0

700,000 + 80,000 + 4,000 + 800 + 90 + 3

AysviL [449]3 years ago

3 0

700,000+80,000+4,000+800+90+3

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The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the ne

Aloiza [94]

Given:

Volume of a sphere is $\dfrac{28}{3}$ times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

$V=\dfrac{4}{3}\pi r^3$ ...(i)

Surface area of a sphere:

$A=4\pi r^2$ ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is $\dfrac{28}{3}$ times the surface area.

$V=\dfrac{28}{3}\times A$

$\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2$

Multiply both sides by 3.

$4\pi r^3=112\pi r^2$

$\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}$

$r=28$

Using (i), the volume of the sphere is:

$V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3$

$V\approx 91989$

Using (ii), the surface area of the sphere is:

$A=4\times \dfrac{22}{7}\times (28)^2$

$A=9856$

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

3 0

3 years ago

Enter the resulting inequality.<br> -9 ≤ -6; Add 15 to both sides<br>

inessss [21]

Step-by-step explanation:

-9+15=6, -6+15=9

So,

6 < 9

3 0

3 years ago

You are running a fuel economy study. One of the cars you find are mmiles on a blue. It can travel 29 1\2 miles on a1 1\4 gallon

Y_Kistochka [10]

Blue car get's 23.6mpg while Red car gets 28mpg.
On one gallon of fuel, Red car will travel 4.4 miles further than Blue car.

6 0

3 years ago

F (n) = 65 - 100n<br> f (39) =

yan [13]

f(39)=65-100(39)

65-3900

= -3835

6 0

2 years ago

A farmer was asked how many cows and chickens she has. The farmer replied, "between the cows and the chickens, there are 162 eye

Kazeer [188]

<h2>☀️ <u>Solution</u><u>:</u></h2>

We all know that,

All animals have 2 eyes.
All cows have 4 feet
All hens have 2 feet

So, Let the no. of cows be x and chickens be y

According to question,

Total number of eyes = 162

Framing equation,

⇛ Eyes of cows + Eyes of chickens = 162

⇛ 2x + 2y = 162

⇛ 2(x + y) = 162

⇛ x + y = 162/2 = 81 -----------(1)

According to question(Cond.-1)

Total number of feet = 270

Framing equation,

⇛ Feet of cows + Feet of chickens = 270

⇛ 4x + 2y = 270

⇛ 2(2x + y) = 270

⇛ 2x + y = 135 ----------(2)

Subtracting eq.(1) from eq.(2),

⇛ 2x + y - (x + y) = 135 - 81

⇛ 2x + y - x - y = 54

⇛ x = 54

Putting value of x in eq.(1),

⇛ 54 + y = 81

⇛ y = 81 - 54

⇛ y = 27

⚘ So, Total number of animals,

Number of cows = x = 54
Number of chickens = y = 27

Hence, solved ! $!$

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8 0

3 years ago