Help me please please

Mathematics

1 answer:

Elina [12.6K]3 years ago

8 0

Answer: 7

Step-by-step explanation:

m∠ABC = 40°. Since BD is an angle bisector (divides the angle into two congruent angles), then m∠ABD = 20° and m∠CBD = 20°

ABD = 20 and ABD = 3x - 1

⇒ 20 = 3x - 1

⇒ 21 = 3x

⇒ 7 = x

Check:

CBD = 20 and CBD = 34 - 2x

⇒ 20 = 34 - 2x

⇒ -14 = -2x

⇒ 7 = x $\checkmark$

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Dawn comma Sergio comma Tyrone comma and Jim have all been invited to a dinner party. They arrive randomly and each person arriv

professor190 [17]

Answer:

a. 24

b. 2

c. 0.0833 = 8.33%

Step-by-step explanation:

The first "slot" of person to arrive has 4 possibilities, then the second "slot" will have 3 possibilities, as one has already arrived, then the third "slot" has 2 possibilities, and the fourth "slot" has just 1 possibility.

So, multiplying all these combinations, we have 4*3*2*1 = 24 possible ways they can arrive

If the first and the last person are already "locked", we just have possibilities for the second and third person. The second will have 2 possibilities (Sergio or Tyrone), and the third will have only 1 (the person that wasn't the second between Sergio and Tyrone). So, the number of possibilities is 2*1 = 2

If we have 2 cases where Dawn is first and Jim is last, from a total of 24 possible cases, the probability is 2/24 = 1/12 = 0.0833 = 8.33%

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3 years ago

find the volume of the smallest right circular cylinder that will hold a sphere whose radius is 4 meters. find the volune of the

Sonja [21]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\quad 
\begin{cases}
r=radius\\
------\\
r=4
\end{cases}\implies V=\cfrac{4\pi 4^3}{3}\implies V=\cfrac{256\pi }{3}\\\\
-------------------------------\\\\
\cfrac{sphere}{cylinder}\qquad \cfrac{2}{3}\impliedby ratio~thus\implies \cfrac{2}{3}=\cfrac{\stackrel{sphere}{v}}{\stackrel{cylinder}{v}}
\implies 
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\\\\\\
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