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Dmitry [639]
3 years ago
5

What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi. Radius

= 5cm.
Mathematics
2 answers:
Lyrx [107]3 years ago
8 0
Surface area of a sphere can be calculated as:

Surface Area = 4πr²

r = 5cm
π = 3.14

Using the values we get:

Surface Area = 4(3.14)(5²) = 314 cm²

Thus, the surface area of the sphere is 314 cm²
pav-90 [236]3 years ago
3 0
Okay. The equation for a sphere's surface area is A = 4 * pi * r^2. Let's plug 5 in for r. 
4 \pi (5^2) = 4(3.14)*25 = 100 * 3.14 = 314
I got 314 cm^2 is the surface area, but it always helps to double check work! Hope this helps!
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A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms. What's its density in grams per cubic centimete
Ahat [919]

Answer:

The density of the  bar of gold is  19.32 grams per cubic centimeter .

Step-by-step explanation:

Formula

Density = \frac{Mass}{Volume}

As given

A bar of gold has a volume of 722 cubic centimeters and weighs 13.949 kilograms.

As 1 kilogram = 1000 gram

Than convert 13.949 kilograms into grams.

13.949 kilograms = 13.949 × 1000 grams

                             = 13949 grams

Mass = 13949 grams

Volume = 722 cubic centimeter

As put in the formula

Density = \frac{13949}{722}

Density = 19.32 grams per cubic centimeter (Approx)

Therefore the density of the  bar of gold is  19.32 grams per cubic centimeter .


8 0
3 years ago
Solve the attached question<br><br>#yohaniJaman<br><br><br><br>​
aksik [14]

HETY is a parallelogram.

HT and EY are diagonals. We know that diagonals divides the parallelogram into two equal parts.

So ar(HET) = ar(HTY)

And, ar(HEY) = ar(EYT) now, in AHET, diagonal EY bisects the line segment HT and also the AHET,

∴ar(AHOE) = ar(AEOT)

Similarly in AETY

ar(ΔΕΟΤ) = ar(ΔΤΟΥ)

And in AHTY,

ar(ATOY) = ar(AHOY)

That means diagonals in parallelogram divides it into four equal parts.

Hence Proofed.

5 0
3 years ago
If A= (-4 1 -4) (3 3 1) (2 5 5) and B= (-4 -5 4) (3 3 -5) (2 2 -1), find AB
nadezda [96]

Answer:

\left[\begin{array}{ccc}11&15&-17\\-1&-4&-4\\17&15&-22\end{array}\right]

Option D will be your answer

-----------

hope it helps...

have a great day!!

6 0
2 years ago
Write an equation of a parabola with a vertex at the origin and the given focus 10. Focus at (-1,0)
Nostrana [21]

Step-by-step explanation:

focus(p) is on the x axis= -1

vertex=(0,0)

parabola equation----- (y-h)^2 =4p(x-k)

(h, k)=(0,0)

(y-0)^2 =4(-1)(x-0)

|

|

|

y^2 = -4x

that is the answer

3 0
2 years ago
R = sec(θ) − 2cos(θ), where -π/2 &lt; θ &lt; π/2
Alex

Answer:

  y = (x/(1-x))√(1-x²)

Step-by-step explanation:

The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:

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__

  r = sec(θ) -2cos(θ)

  r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)

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  (x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations

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  y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)

  \boxed{y=\dfrac{x\sqrt{1-x^2}}{1-x}}

__

The attached graph shows the equivalence of the polar and rectangular forms.

4 0
2 years ago
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