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2 years ago

5

a plane intersects a sphere 5 cm away from the center of the sphere. the cross section is a circle whose diameter is 12cm. deter

mine the radius of the sphere

2 answers:

Elodia [21]2 years ago

8 0

Answer:

26

Step-by-step explanation:

podryga [215]2 years ago

7 0

Answer:

7.81 cm

Step-by-step explanation:

diameter = 12, 12/2 = 6

(r+5)(r-5) = 6 * 6

r^2 - 25 = 36

r^2 = 61

r = 7.81

radius = 7.81 cm

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Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

On each 3 days derrik rode 6.45 km to school, 150 meters to the library, and then 500 meters back home. How many kilometers did

Andrew [12]

Just add all 3 numbers up together:

6.45+ 0.15+0.5

=7.1

Since it was three days multiply the 7.1 by three

=7.1x3

=24

So for three days derrick rode for 24 km

Hoped I helped :)

7 0

3 years ago

Some one help me out with thus question

sleet_krkn [62]

Answer:

h=6

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the exact value of the fallowing ,give your answers as factions ;

kompoz [17]

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

3² = 3 X 3 = 9

4³ = 4 x 4 x 4 = 64

$2^{6}$ = 2 x 2 x 2 x 2 x 2 x 2 = 64

The exact value in fractions are:

a) 1/9

b) 1/64

c) 1/64

<h3>What is a fraction?</h3>

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

$3^{-2}$

= 1/3²

3² = 3 X 3 = 9

= 1/9

$4^{-3}$

= 1/4³

4³ = 4 x 4 x 4 = 64

= 1/64

$2^{-6}$

= 1/ $2^{6}$

$2^{6}$ = 2 x 2 x 2 x 2 x 2 x 2 = 64

= 1/64

Thus.,

The exact value in fractions are:

a) 1/9

b) 1/64

c) 1/64

Learn more about fractions here:

brainly.com/question/24370499

#SPJ1

5 0

2 years ago

I need the answer for n/3+5=7

katrin2010 [14]

To solve for n:

n/3+5=7

Subtract 5 from both sides.

n/3=2

Multiply both sides by 3.

n=6

Hope this helps! :)

8 0

4 years ago

Read 2 more answers