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Art [367]
3 years ago
10

What is the volume of a sphere that has the length of 3.7 has the width of 3.7 and has a height of 3.7

Mathematics
1 answer:
devlian [24]3 years ago
4 0

What we're seeing here is a sphere of diameter 3.7 and radius 3.7/2.  As the formula for the volume of a sphere is V = pi*r^3, the volume of this particular sphere is:

V = pi*(3.7 / 2)^3 = 19.89 cubic units.

You might be interested in
Mavis drives 634 miles to visit her grandmother in philadelphia. How many miles does mavis drive if she visits her grandmother 4
Dmitriy789 [7]

Mavis drives = 634 miles.

Mavis visits her grandmother 4 times.

That means, she drives 634 miles each time when she visits her mother.

One time round trip Mavis's house to her gramdmother in philadelphia = 634 miles.

If she visited 4 times, we can multiply one round trip distance by 4 or we can just add that distance four times.

Let us try it by multiplying 4 by 634 .

If we multiply 4 by 634, we get 2536.

Therefore, 2536 miles Mavis drives if she visits her grandmother 4 times.

8 0
3 years ago
hich of the following expressions is equivalent to |x + 4| < 5? A. –5 > x + 4 < 5 B. –5 < x + 4 < 5 C. x + 4 <
Airida [17]

Answer:

option B

Given : |x + 4| < 5

A. –5 > x + 4 < 5

B. –5 < x + 4 < 5

C. x + 4 < 5 and x + 4 < –5

D. x + 4 < 5 or x + 4 < –5

In general , |x|< n where n is positive

Then we translate to -n < x < n

|x + 4| < 5

5 is positive, so we translate the given absolute inequality to

-5 < x+4 < 5

So option B is correct

5 0
3 years ago
The area of a rectangle is 21 cm². If one side exceeds the other by 4 cm, find the dimensions of the rectangle.​
Over [174]

Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

7 0
2 years ago
1/3 to 2/3 percentage increase or decrease
Leto [7]

Answer:

increase

Step-by-step explanation:

the number got bigger

6 0
3 years ago
Read 2 more answers
If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

3 0
3 years ago
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