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Setler79 [48]
2 years ago
8

If XY = 78 miles and mXY = 70°, then determine the radius of circle H.

Mathematics
1 answer:
tankabanditka [31]2 years ago
3 0

Answer:

r ≈ 187. 70 miles

Step-by-step explanation:

The picture represent the question. XY is an arc and it is 78 miles . mXY = 70° . The length of the arc is known and the center angle is also known .We can use the formula for length of arc to get the radius of the circle.

length of arc = ∅/360 × 2πr

where

∅ = 70°

r = ?

length of the arc = 78 miles

78 = 70/360 × 2πr

78 = 140/360 ×  3.14 × r

78 = 43.96/36 × r

78 = 14.96r/36

cross multiply

14.96r = 2808

r = 2808/14.96

r = 187.70053476

r ≈ 187. 70 miles

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Answers:

<em>How much did the temperature change from Sunday High to Mondays High?</em>

Change = 4 °C

<em>What was the difference between the high temperatures on Friday and Wednesday?​</em>

Difference = 10 °C

Explanation:

Taking into account the graph, we get that the high temperature each day is:

Sunday: -10°C

Monday: -6 °C

Tuesday: - 4 °C

Wednesday: -6 °C

Thursday: 0 °C

Friday: 4 °C

Saturday: -2 °C

So, the change from Sunday High to Mondays High can be calculated as:

Change = Monday - Sunday

Change = -6 °C - (- 10 °C)

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In the same way, the difference between the high temperatures on Friday and Wednesday can be calculated as:

Difference = Friday - Wednesday

Difference = 4 °C - (-6 °C)

Difference = 4 °C + 6 °C

Difference = 10 °C

Therefore, the answers are:

<em>How much did the temperature change from Sunday High to Mondays High?</em>

Change = 4 °C

<em>What was the difference between the high temperatures on Friday and Wednesday?​</em>

Difference = 10 °C

6 0
1 year ago
In one grade of 150 students, the ratio of boys to girls
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You idiot you answered your own question!

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A typical person has an average heart rate of 70.0 70.0 beats/min. Calculate the given questions. How many beats does she have i
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Answer:

a) 2.2 × 10⁸ beats

b) 2.20 × 10⁸ beats

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Step-by-step explanation:

Data provided in the question:

Average heart rate of a typical person = 70.0 beats/min

Now,

In the given cases, the significance is on the significant figures after the decimal

Therefore,

the answer is will be provided accordingly

Now,

a) Time = 6.0 years

[since 1 significant figure after decimal. answer will be give in  1 significant figure after decimal ]

time in minutes = 6.0 × 365 × 24 × 60

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Total beats = Average heart rate × Time

= 70 × 3.1 × 10⁶

= 2.2 × 10⁸ beats

b)  Time = 6.00 years

[since 2 significant figure after decimal. answer will be give in 2 significant figure after decimal ]

time in minutes = 6.00 × 365 × 24 × 60

= 3.15 × 10⁶ minutes

Total beats = Average heart rate × Time

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[since 3 significant figure after decimal. answer will be give in 3 significant figure after decimal ]

time in minutes = 6.000 × 365 × 24 × 60

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2 years ago
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I hope this helps :)

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