3 years ago

An industrial machine is able to make 9 pens in 3 seconds what is the rate made per second

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

8 0

The rate per second is 3 pens/second

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Please hurry. it's geometry.

Ainat [17]

That would be option A as the angles and sides ( the AS) have already been stated.

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2 years ago

Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string

Nadya [2.5K]

Answer:

The kite is 202.7 feet above the ground

Step-by-step explanation:

The scenario is depictedd in the picture attached

we have to find the height.

Trigonometric ratios will be used to find the height.

So,

$sin\ (42.5) = \frac{h}{300}\\ 0.6756=\frac{h}{300}\\0.6756*300=h\\202.68 = h$

The height is 202.68 feet

Rounding off to the nearest tenth

202.7 feet

Therefore, the kite is 202.7 feet above the ground ..

3 0

3 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. Pl

kicyunya [14]

Hello,

$u_{0} =a\\
 u_{1} =a*r\\
 u_{2} =a*r^{2}=-6\\
 u_{3} =a*r^{3}\\
 u_{4} =a*r^{4}\\
 u_{5} =a*r^{5}=162\\
....\\
\boxed{ u_{n} =a*r^{n}} \\

\dfrac{ 162}{-6} = \dfrac{ u_{5} }{ u_{3}} = \dfrac{ a*r^{5}}{ a*r^{2}} =r^3= -27\\
==\ \textgreater \ r=-3\\

 u_{2} =a*r^{2}=-6=a*(-3)^2 \ ==\ \textgreater \ a=-\frac{6}{9} =-\frac{2}{3}\\


\boxed{ u_{n} =-\frac{2}{3}*(-3)^{n}=(-1)^{n+1}*2*3^{n-1}} \\

$

8 0

3 years ago

Read 2 more answers

The sum of two consecutive integer is 131. Find the integer

AlexFokin [52]

$n+n+1=131\\\\2n=130\\\\n=65\\\\n+1=66$