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Hunter-Best [27]
3 years ago
14

Farhan cycles the first part of a 150-km journey at an average speed of 35km/h and walks the

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

Answer:

PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

5 x 4.5 = 22.5 (km)

150 – 22.5 = 127.5 (km)

35 – 5 = 30 (km/h)

127.5/30 = 4.25 (h)

4.25 x 35 = 148.75 (km)

Alternatively,

Let x be the distance that he cycles.

x/35 + (150 – x)/5 = 4.5

x + 1050 – 7x = 157.5

6x = 892.5

x = 148.75

Ans : 148.75km.

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In the circle below, DB = 22 cm, and m<DBC = 60°. Find BC. Ignore my handwriting.​
Karo-lina-s [1.5K]

Answer:

BC=11\ cm

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

120\°=arc\ DC

arc\ DC=120\°

step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

120\°+arc\ BC=180\°

arc\ BC=180\°-120\°=60\°

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

m\angle BDC=\frac{1}{2}[arc\ BC]

substitute the values

m\angle BDC=\frac{1}{2}[60\°]

m\angle BDC=30\°

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

we know that

In the right triangle DBC

sin(\angle BDC)=BC/BD

BC=(BD)sin(\angle BDC)

substitute the values

BC=(22)sin(30\°)=11\ cm

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Answer:

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Step-by-step explanation:

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This means that the length of the arc of AB should be 1/18 of the circumference.


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The answer to this problem in in word form and expanded form
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