A dragonfly can beat its wings 30 times per second. write a equation in slope-intercept

FromTheMoon [43]

The total amount shared by the friends illustrates mean and average, and the amount spent by each friend is $11.5

<h3>How to determine the amount?</h3>

The given parameters are:

Total = $76
Tip = $16
Number of friends = 8

The amount spent by each friend is calculated using:

Amount = (Total + Tip)/Number of friends

So, we have:

Amount = (76 + 16)/8

Evaluate

Amount = 11.5

Hence, the amount spent by each friend is $11.5

Read more about mean and average at:

brainly.com/question/20118982

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8 0

2 years ago

Circle F has a diameter of 36m and = 240o. Find the length of . Leave your answer in terms of pi.

andrezito [222]

Answer:

So, the arc length is $24\pi$

Step-by-step explanation:

We are given

diameter =36m

so, we can find radius

$r=\frac{36}{2}=18m$

and angle as

$\theta=240$

Since, it is in degree

so, we can change it in radian

$\theta=240\times \frac{\pi}{180}$

$\theta=\frac{4\pi}{3}$

now, we can find arc length

$L=r\times \theta$

now, we can plug values

$L=18\times \frac{4\pi}{3}$

$L=24\pi$

5 0

3 years ago

What is the length of the hypotenuse of the triangle?<br> 7 ft<br> 4 ft

stepladder [879]

Answer:

√65 ft = 8.1 ft

Step-by-step explanation:

We solve using Pythagoras Theorem

c² = a² + b²

c = √a² + b²

Where c = Length of the Hypotenuse

a = 4ft , b = 7ft

Hence

c = √4² + 7²

c = √16 + 49

c = √(65)

c = 8.0622577483 ft

Approximately = 8.1 ft

Therefore, the length of the hypotenuse is √65 ft = 8.1 ft

5 0

2 years ago

Una heladeria dispone de 20 frutas distintas para elaborar sus malteadas. Si los clientes pueden elegir tres sabores para mezcla

Dahasolnce [82]

Answer:

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

Step-by-step explanation:

En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:

1) El primer sabor sale de cualquiera de las 20 frutas disponibles.

2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.

3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.

Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:

$n\mathbb{P}k = \frac{n!}{(n-k)!}$ (1)

Donde:

$n$ - Número de sabores disponibles, adimensional.

$k$ - Número de sabores escogidos, adimensional.

Si tenemos que $n = 20$ y $k = 3$ , entonces la cantidad de malteadas de tres sabores distintos es:

$n\mathbb{P}k = \frac{20!}{(20-3)!}$

$n\mathbb{P}k = \frac{20!}{17!}$

$n\mathbb{P}k = 20\cdot 19\cdot 18$

$n\mathbb{P}k = 6840$

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

5 0

3 years ago

What divides a line segment into two congruent segments?

Nutka1998 [239]

Answer:

segment bisector

Step-by-step explanation:

Too cut in half, think bisect.

So we are talking about a segment, so segment bisector

3 0

3 years ago