9. How many planes are shown in the figure?

Mathematics

1 answer:

Paraphin [41]1 year ago

3 0

<h3>9)</h3><h3>5 planes</h3>

<h3>10)</h3><h3>2 planes</h3>

<h3>12)</h3><h3>Yes , they belong to plane (w)</h3>

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Please help asap!<br><br>the problem is in the picture

ladessa [460]

Given:

$AB=6\ BC=r,\ CD=r,\ AD=12$ .

To find:

The value of r.

Solution:

We have,

$AB=6\ BC=r,\ CD=r,\ AD=12$ .

We know that the radius is perpendicular to the tangent at the point of tangency

AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., $m\angle D=90^\circ$ .

Using Pythagoras theorem, we get

$AC^2=AD^2+CD^2$

$(6+r)^2=12^2+r^2$

$36+12r+r^2=144+r^2$

$12r=144+r^2-36-r^2$

On further simplification, we get

$12r=108$

$r=\dfrac{108}{12}$

$r=9$

Therefore, the value of r is 9.

8 0

2 years ago

Please help me I am stuck

Dennis_Churaev [7]

Answer:

Brand C

Step-by-step explanation:

7 0

2 years ago

(7)/(3) of it is 5 (5)/(6)

slava [35]

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

$\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}$