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Elena L [17]
3 years ago
6

Determine the length of arc JL.

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0

The length of arc JL is \frac{25}{18} \pi  So option c is correct.

<u>Solution:</u>

Given, from the diagram, radius of the given circle is 2 units.

And, the angle between the radius JK and KL is 125 degrees.

We have to find the length of the minor arc formed by JL

The length of arc is given as:

\text { Length of arc }=2 \pi r\left(\frac{\theta}{360}\right)

where \theta is angle between radii formed by points with centre

Now the length of arc JL is:

=2 \pi \times 2 \times \frac{125}{360}=4 \pi \times \frac{125}{360}=\pi \times \frac{125}{90}=\frac{25}{18} \pi

Hence, the length of are JL is \frac{25}{18} \pi so option c is correct.

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Complete each statement with a number that makes the statement true.
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Answer:

Step-by-step explanation:

1). (d). 5°C < 7°C

2). (a). - 8°C < - 3°C  

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2 years ago
The graph below describes the journey of a train between two cities
UkoKoshka [18]

Answer:

Step-by-step explanation:

To find : Acceleration in first 15 min . Distance between two cities  Average speed of journey

Solution:

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                    Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Distance between two cities

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

Average Speed of journey = 125/2  = 62.5  km/hr

Acceleration in first 15 min = 200  km/h²

Distance between two cities = 125 km

Average Speed of journey =  62.5  km/hr

Hope this helps..

3 0
3 years ago
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Which number line model represents the expression -2/5 + 4/5
Akimi4 [234]

Hi

-2/5 + 4/5 = 2/5..................

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3 years ago
In the diagram below, what is the relationship between the number of rectangles and the perimeter of the figure they
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Answer:

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Step-by-step explanation:

8 0
3 years ago
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PLs answer fast i need this questions answer
Mashutka [201]

Answer:

x=6

Step-by-step explanation:

Given equation:

x-\left(2x-\dfrac{3x-4}{7}\right)=\dfrac{4x-27}{3}-3

Expand the left side:

\implies x-2x+\dfrac{3x-4}{7}=\dfrac{4x-27}{3}-3

Let all terms on the left side have the same denominator of 7:

\implies \dfrac{7x}{7}-\dfrac{14x}{7}+\dfrac{3x-4}{7}=\dfrac{4x-27}{3}-3

Join the terms on the left side:

\implies \dfrac{7x-14x+3x-4}{7}=\dfrac{4x-27}{3}-3

\implies \dfrac{-4x-4}{7}=\dfrac{4x-27}{3}-3

Let all the terms on the right side have the same denominator of 3:

\implies \dfrac{-4x-4}{7}=\dfrac{4x-27}{3}-\dfrac{9}{3}

Join the terms on the right side:

\implies \dfrac{-4x-4}{7}=\dfrac{4x-27-9}{3}

\implies \dfrac{-4x-4}{7}=\dfrac{4x-36}{3}

Cross multiply:

\implies 3(-4x-4)=7(4x-36)

Expand:

\implies -12x-12=28x-252

Add 12x to both sides:

\implies -12=40x-252

Add 252 to both sides:

\implies 240=40x

Divide both sides by 40:

\implies 6=x

\implies x=6

6 0
1 year ago
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