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Brut [27]
3 years ago
10

Find the arc length (to the nearest inch) of the sector of a circle with a radius 14 inches and a central angle of 0=108°

Mathematics
1 answer:
forsale [732]3 years ago
4 0
Length of arc=angleO/360×2pi×r
=108/360×22/7×14×14
=3/10×22×2×14
=66×2×14/10
=1848/10
=184.8inches
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Charlotte drives 64 mph for the first 3 hours of her trip and 92 mph for last 4 hours.
german

Answer:

80 mph

Step-by-step explanation:

\boxed{\sf Distance=Speed \times Time}

<u>First leg of trip</u>

  • Speed = 64 mph
  • Time = 3 hours

\implies \sf Distance =64\times 3 = 192\:miles

<u>Second leg of trip</u>

  • Speed = 92 mph
  • Time = 4 hours

\implies \sf Distance=92 \times 4 = 368\:miles

\boxed{\sf Speed=\dfrac{Distance}{Time}}

To find the average speed:

\begin{aligned}\implies \sf Average\:speed & = \sf \dfrac{Total\:distance}{Total\:time}\\\\ & = \sf \dfrac{192+368}{3+4}\\\\& = \sf \dfrac{560}{7}\\\\ & = \sf 80\:mph\end{aligned}

6 0
2 years ago
Read 2 more answers
Please help its very hard
allochka39001 [22]

This histogram is skewed to the left and its distribution's center would be three (3).

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

A histogram is used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.

In this scenario, we can infer the following about the histogram distribution's center, spread, and overall shape:

  • This histogram is skewed to the left.
  • Its distribution's center would be three (3).
  • The spread implies that more students are between 58-59 and 60-61 inches.
  • The shape shows that many of the values are at the lower end.

Read more on histogram here: brainly.com/question/21304143

#SPJ1

8 0
2 years ago
A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and
Naya [18.7K]
<h2>The number of small buses used = 5</h2><h2>The number of big buses used  = 4</h2>

Step-by-step explanation:

Let us assume the total number of small buses needed = x

The capacity of 1 small bus  = 40

So, the capacity of x buses  = 40(x)  = 40 x

Let us assume the total number of big buses needed = y

The capacity of 1 big bus  = 50

So, the capacity of y buses  = 50(y)  = 50 y

Also, the total students travelling = 400

So, the number of students traveling by (Small bus + Big bus)  = 400

⇒ 40 x + 50 y = 400 ..... (1)

Also, the total number of drivers available  = 9

⇒ x +  y = 9  ..... (2)

Also, x  ≤ 8,   y ≤ 10

Now, solving both equations, we get:

40 x + 50 y = 400 ..... (1)

x +  y = 9  ⇒ y = (9-x) put in (1)

40 x + 50 y = 400  ⇒  40 x  + 50 (9-x)  = 400

or, 40 x  + 450 - 50 x  = 400

or, - 10 x  =- 50

or, x  = 5 ⇒ y = (9-x)  = 9- 5 = 4

Hence the number of small buses used = 5

The number of big buses used  = 4

8 0
3 years ago
Some landlords ask for a special deposit before renting out an apartment. Which is the most likely purpose of a special deposit?
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Definitely A because it is the only one that makes sense


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16.How many surfaces does a cube have?
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Hello!

A cube has 6 faces which is the shape of a square, all corners are 90 degrees and it’s x^3
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